Wild Robin Casino Free Spins 2026: What UK Players Actually Need to Know
Wild Robin Casino free spins offers are doing the rounds on affiliate sites again, and the marketing copy reads like a fairy tale — deposit a tenner, spin for free, walk away rich. Nobody walks away rich. That is not how the maths works, and anyone telling you otherwise is selling something. What follows is a cold, unglamorous breakdown of how free spins actually function in 2026, what the UK regulatory framework demands of operators offering them, and how the ten operators currently holding the largest share of the UK market — Gala Bingo, 10bet, AdmiraL, LiveScore Bet, JackpotJoy, Virgin, Lottoland, Rainbow Riches Casino, Goldenbet and Midnite — fit into the wider picture. No fairy tales. No “gift” from the house. Just the numbers.
Free spins remain the single most heavily promoted mechanic in the UK online casino sector, and 2026 is no exception. The Gambling Commission’s licence conditions, the Remote Gambling and Software Technical Standards (RTS), and the Consumer Protection from Unfair Trading Regulations all constrain what an operator can say about a “free” offer — and yet the language on affiliate pages still drifts towards the breathless. This guide strips that language away. Whether you are chasing Wild Robin Casino free spins specifically, or simply trying to understand what a “free spins no deposit” offer is worth in real terms, the analysis below applies equally.
What “Free Spins” Actually Means in a Licensed UK Casino
The phrase “free spins” is a marketing construct, not a financial one. In a licensed UK environment, a free spin is a wager on a slot game funded by the operator rather than by your deposit balance. That sounds generous until you examine the mechanics. Each spin carries a fixed value — typically between 10p and 25p per spin — and any winnings generated are credited as bonus funds, not cash. Bonus funds carry wagering requirements, game weighting, maximum conversion caps and time limits. Strip all of that away and the “free” spin is closer to a free lollipop at the dentist: technically complimentary, entirely instrumental, and gone before you can taste anything.
Under the Gambling Commission’s current guidance, operators must present the material terms of any promotional offer in a way that is clear, prominent and not misleading. That means the wagering requirement, the maximum win cap, the expiry window and the eligible games must all be disclosed before you opt in. If a site claims “100 free spins, no deposit required” without stating the 40x wagering requirement attached to the winnings, it is in breach of its licence conditions. The Commission has issued several enforcement actions on exactly this point since 2023, and the trend in 2026 is towards stricter scrutiny of affiliate marketing — the pages where most players first encounter offers like Wild Robin Casino free spins.
The distinction between “free spins” and “bonus spins” matters more than most players realise. Free spins, properly defined, are spins you do not pay for. Bonus spins are spins funded from a bonus balance that you received after making a deposit or completing a qualifying action. The two are often used interchangeably in marketing copy, and that is deliberate. A “bonus spin” is not free in any meaningful sense — you have already paid for it through your deposit, and the winnings are locked behind the same wagering requirements as the rest of your bonus. When a site advertises “free spins on deposit”, the word “free” is doing a lot of heavy lifting. It is not free. You deposited.
Understanding this distinction changes how you evaluate any offer, including Wild Robin Casino free spins promotions. The real question is never “how many spins?” but “what is the expected value of those spins after all constraints are applied?” A 200-spin offer with a 50x wagering requirement and a £100 maximum conversion is worth less than a 20-spin offer with no wagering requirement and no cap. The maths is not complicated, but almost nobody does it — which is precisely why the marketing works.
Wild Robin Casino: What the Brand Offers and Where It Stands
Wild Robin Casino is an online casino brand that has appeared on the UK affiliate circuit primarily through free spins and no-deposit promotions. The brand positions itself around a playful, themed interface — the “robin” motif running through its visual identity — and its promotional strategy leans heavily on free spins as the primary acquisition tool. Like many operators entering or operating in the UK market, it uses free spins offers to attract new registrations, with the expectation that a percentage of registrants will convert into depositing players. That conversion rate is the entire business model, and it is why “free” spins exist at all.
It is worth stating plainly that Wild Robin Casino operates in a market where the Gambling Commission’s licence conditions apply to any operator offering real-money gambling to consumers in Great Britain. The Commission’s public register is the authoritative source for checking whether any operator holds a current licence, and the register is free to access. Players who encounter Wild Robin Casino free spins offers on affiliate sites should verify the operator’s licence status directly through the Commission’s register rather than relying on badges or claims displayed on the affiliate page itself. A logo on a website is not a licence. A register entry is.
The promotional mechanics at Wild Robin Casino follow the pattern common to operators of this type: a welcome offer built around free spins, sometimes combined with a deposit match, and ongoing promotions designed to retain players through regular free spin drops. The specifics — the number of spins, the wagering requirements, the maximum win caps, the eligible games — vary over time as the operator adjusts its promotional calendar. For the current terms, the only reliable source is the operator’s own terms and conditions page, which must be read in full before opting in. Affiliate pages summarising these offers are frequently out of date, and a summary is not a substitute for the actual terms.
Where Wild Robin Casino sits relative to the larger, more established UK operators is a matter of scale rather than quality. Gala Bingo, JackpotJoy and Virgin operate with decades of brand recognition and significantly larger player bases. Midnite and LiveScore Bet have built their reputations on specific verticals — sports betting and live streaming integration, respectively — rather than on casino promotions. Wild Robin Casino’s competitive advantage, such as it is, lies in its promotional aggressiveness: free spins offers that are designed to stand out in a crowded affiliate marketplace. Whether that aggressiveness translates into a better deal for the player depends entirely on the terms attached to those offers, which is what the rest of this guide examines.
Free Spins No Deposit: The Mechanics Behind “No Risk”
A no-deposit free spins offer is the casino equivalent of a free sample at a supermarket — designed to get you through the door, not to feed you for free. The operator funds the spins, you register an account, and any winnings are credited to your bonus balance subject to wagering requirements. The “no deposit” element removes the initial financial barrier, which is precisely why these offers are so heavily promoted. They convert registrations at a much higher rate than deposit-based offers, because the perceived risk to the player is zero. The actual risk is time and attention, which is exactly what the operator is buying.
The wagering requirements on no-deposit free spins winnings are almost always higher than those attached to deposit-based offers. This is not an accident. The operator has no deposit to recoup, so the wagering requirement serves a different function: it ensures that you play enough games — and therefore generate enough house edge — before any withdrawal is possible. A typical structure might be 20 free spins at 10p each, with winnings subject to a 40x wagering requirement and a maximum conversion of £50. The expected value of those 20 spins, before wagering, is roughly £2–£4 depending on the slot’s return-to-player percentage. After a 40x wagering requirement, the probability of actually withdrawing anything drops sharply.
Game weighting is the mechanism operators use to ensure that wagering requirements are met in ways that favour the house. Slots typically contribute 100% of each wager towards the wagering requirement. Table games like blackjack and roulette contribute far less — often 10% or even 0% — and live casino games are frequently excluded entirely from wagering contribution. This means that a player who receives free spins and then tries to “clear” the wagering requirement by playing low-house-edge blackjack is doing exactly what the operator designed the weighting system to prevent. The maths works against you at every stage, and the weighting system is the reason why.
For players evaluating offers like Wild Robin Casino free spins with no deposit required, the critical variables are: the number of spins, the value per spin, the wagering multiplier, the maximum conversion cap, the expiry window, and the eligible games. An offer with 50 spins at 10p, 35x wagering, a £100 cap and a 7-day expiry is a fundamentally different proposition from 10 spins at 25p, 20x wagering, a £25 cap and a 48-hour expiry. The first looks more generous on paper. The second may deliver better expected value. Calculating which is which requires arithmetic, not enthusiasm — and the arithmetic is the entire point.
How Free Spins Compare Across the UK Market: A Structural View
The UK online casino market in 2026 is characterised by intense promotional competition, and free spins are the primary weapon. Every operator on the market — from the largest bingo-and-casino brands to the newest entrants — uses free spins as a customer acquisition tool, and the terms attached to those spins vary enormously. Understanding the structural differences between types of offers is more useful than memorising any single operator’s current promotion, because the promotions change monthly while the structures remain consistent. The table below sets out the typical terms attached to different categories of free spins offers in the UK market, based on the patterns visible across operator terms and conditions.
| Offer Type | Typical Spins | Wagering Requirement | Max Conversion | Expiry |
|---|---|---|---|---|
| No-deposit free spins | 10–50 | 35x–65x winnings | £25–£100 | 24–72 hours |
| Free spins on deposit | 20–200 | 20x–40x winnings | £50–£500 | 7–30 days |
| No-wagering free spins | 5–50 | None | Varies (often uncapped) | 1–7 days |
| Daily/weekly free spin drops | 5–25 | 10x–30x winnings | £10–£50 | 24 hours |
| VIP/loyalty free spins | 10–100 | 0x–20x winnings | £25–£250 | 7–14 days |
Two patterns in that table deserve comment. First, the inverse relationship between the number of spins and the generosity of the terms: the more spins an operator advertises, the tighter the constraints tend to be. A “200 free spins” headline almost always comes with a high wagering requirement, a low maximum conversion and a short expiry window. Second, the no-wagering category is the only one where the advertised “free” is closest to genuinely free — but these offers are rare, typically small in spin count, and almost always tied to specific promotional events rather than standing offers. Operators do not give away no-wagering spins as a matter of course, because there is no business case for doing so.
The relationship between free spins and other promotional mechanics — deposit matches, cashback offers, reload bonuses — is also worth understanding. Most welcome offers combine free spins with a deposit match: “deposit £10, get a 100% match plus 50 free spins.” The deposit match is the primary value proposition; the free spins are the hook. Stripping away the free spins and evaluating only the deposit match, most welcome offers in the UK market deliver between 50% and 200% of the deposited amount as bonus funds, subject to wagering requirements of 20x to 40x the bonus amount. The free spins component adds a marginal expected value of a few pounds at most, but it drives registration numbers disproportionately — which is why operators include them.
For players comparing Wild Robin Casino free spins against offers from other operators, the structural analysis above is more informative than any single offer comparison. The question is not “which operator gives the most spins?” but “which offer structure delivers the highest expected value after all constraints?” That question has a calculable answer, and the answer changes depending on the specific terms — which is why reading the terms is not optional, however tedious it may be.
2 Pound Minimum Deposit Casino UK 2026: The Low-Stakes Playbook Nobody Writes Honestly
UK Gambling Regulation and Free Spins Promotions
The Gambling Commission regulates all commercial gambling in Great Britain under the Gambling Act 2005, as amended. Operators holding a Commission licence are subject to strict conditions regarding how they advertise and present promotional offers, including free spins. The Commission’s Licence Conditions and Codes of Practice (LCCP) require that material terms of any offer are made available to the consumer before they opt in, and that marketing communications are not misleading. The Consumer Protection from Unfair Trading Regulations 2008, enforced by the Competition and Markets Authority, adds a further layer: promotional language must not create a false impression of the nature of the offer.
The practical implication for free spins offers is that operators must disclose wagering requirements, maximum win caps, expiry dates and eligible games in a way that is accessible — not buried in a 40-page terms document behind three clicks. The Commission has taken enforcement action against operators and affiliate marketers who present free spins offers without adequate disclosure of material terms. Since 2023, the Commission has also increased its scrutiny of affiliate marketing specifically, recognising that the majority of players first encounter promotional offers through affiliate sites rather than through the operator’s own channels. This has implications for pages promoting offers like Wild Robin Casino free spins: the regulatory environment is tightening, and affiliate content that misrepresents the terms of an offer is increasingly likely to attract regulatory attention.
Verification of an operator’s licence status is straightforward and free. The Gambling Commission maintains a public register of all licensed operators, accessible on its website, and checking that register is the single most effective thing a player can do before engaging with any promotional offer. The register shows the operator’s name, licence number, status and the types of gambling activity the licence covers. An operator that does not appear on the register — or whose register entry shows a licence that is under review, suspended or revoked — is not one you should be depositing money with, regardless of how attractive the free spins offer appears. This applies to any operator, including those promoted on affiliate sites.
The UK’s regulatory approach to free spins is notably stricter than in many other jurisdictions. Markets like Malta, Curaçao and Gibraltar operate under different regulatory frameworks, and operators licensed in those jurisdictions may present free spins offers with fewer constraints on wagering requirements, maximum conversions or marketing language. The distinction matters because some operators targeting UK players hold licences from non-UK regulators, and the protections available to UK players differ depending on the operator’s licensing jurisdiction. For operators presented on this page as part of the UK market landscape, the regulatory framework that applies is the Gambling Commission’s — and that framework sets the floor for player protection, not the ceiling.
Slots and Free Spins: Game Selection and Return to Player
Free spins are almost always tied to specific slot games, and the choice of game has a direct impact on the expected value of the offer. Slot games are characterised by their return-to-player (RTP) percentage — the theoretical proportion of wagered money that a game returns to players over an extended period of play. A slot with an RTP of 96% returns, on average, 96p for every £1 wagered over millions of spins. The remaining 4p is the house edge. This is the fundamental arithmetic that governs every free spin offer, and it is the reason why the same number of free spins can be worth dramatically different amounts depending on the eligible games.
Operators typically restrict free spins to a small number of designated slots, and the RTP of those slots varies. Some operators offer free spins on high-RTP games — slots with RTPs of 96.5% or above — which delivers better expected value to the player. Others restrict free spins to lower-RTP games or to games with high volatility, where the expected return is lower and the variance is higher. High-volatility slots pay out less frequently but in larger amounts when they do; low-volatility slots pay out more frequently in smaller amounts. Neither is inherently better for the player, but the volatility profile of the eligible games affects the distribution of outcomes from a free spins offer — and operators choose the eligible games deliberately, not randomly.
The UK Gambling Commission requires that RTP percentages for all slot games are published and accessible to players, and that the figures published are accurate. This means that a player evaluating a free spins offer can, in principle, calculate the expected value of the spins based on the RTP of the eligible games. In practice, most players do not do this calculation, which is why the marketing emphasis falls on the number of spins rather than the RTP of the games those spins are played on. A “100 free spins” offer on a slot with an RTP of 94% is worth less than a “20 free spins” offer on a slot with an RTP of 97%, but the first number is the one that appears in the headline.
Casinos That Accept eWallets UK 2026: Fast Payouts, Real Limits, and the Fine Print Nobody Prints
For players evaluating Wild Robin Casino freeRobin Casino free spins offers, checking the RTP of the eligible games before opting in is a two-minute exercise that most players skip. The game’s information page — usually accessible from the lobby without wagering anything — displays the RTP figure. If the offer does not specify which games are eligible, that is itself a red flag: an operator that hides the eligible games list is an operator that knows the selection works against you.
Free spins on jackpot slots deserve separate mention because they illustrate a common misconception. Progressive jackpot slots typically have lower RTPs than standard video slots — often in the 88% to 92% range — because a portion of each wager feeds the jackpot pool rather than being returned to players as regular payouts. Free spins on a progressive jackpot slot therefore carry lower expected value than free spins on a standard slot, even though the headline appeal of “free spins on Mega Moolah” sounds more exciting. The excitement is real; the expected value is not. And if you are one of those players who calculates expected value before spinning, you are already ahead of roughly 95% of the market.
Payments, Withdrawals and How Fast You Actually Get Paid
A free spins offer is only worth pursuing if you can actually withdraw any winnings, and withdrawal speed varies significantly across UK operators. The payment methods available to UK players include debit cards (Visa and Mastercard), bank transfers, e-wallets such as PayPal, Skrill and Neteller, and increasingly open banking solutions. Each method has different processing times: e-wallet withdrawals are typically processed within 24 hours after approval, debit card withdrawals take 1–3 working days, and bank transfers can take 3–5 working days or longer depending on your bank. These timelines start after the operator has approved the withdrawal request, which itself requires completion of identity verification checks.
Goldenmister Casino Free Spins 2026: What You Actually Get and What It Costs You
Identity verification — known as KYC (Know Your Customer) — is mandatory for all licensed UK operators under both Gambling Commission requirements and anti-money laundering regulations. First-time withdrawal requests almost always trigger a verification process that requires photographic ID, proof of address and sometimes proof of payment method. This process can add anywhere from a few hours to several days to your first withdrawal, depending on how quickly you submit documents and how quickly the operator’s compliance team processes them. Players who register specifically to claim a no-deposit free spins offer should be aware that withdrawing any winnings will require full identity verification regardless of how small the amount is.
The relationship between bonus funds and real-money funds affects withdrawal processing too. Most operators maintain two separate balances: your deposited money (real cash) and your bonus money (subject to wagering requirements). Withdrawal requests that would leave real-money funds intact while bonus funds remain active are typically processed normally. Requests that would withdraw bonus funds before wagering requirements are met will either be rejected or will result in forfeiture of those bonus funds — this varies by operator but must be disclosed in the terms. Understanding this distinction prevents one of the most common sources of player frustration: attempting to withdraw what turns out to be locked bonus money.
The table below summarises typical payment method characteristics across UK-licensed operators as they apply to players claiming free spins offers and subsequent withdrawals.
| Payment Method | Typical Deposit Time | Typical Withdrawal Time | Min Deposit (typical) | Fees (typical) | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Debit card (Visa/Mastercard) | Instant | 1–3 working days | £5–£10 | None from operator; bank charges rare | ||||||||||||||||||||
| e-Wallet (PayPal/Skrill/Neteller) | Instant | Within 24 hours after approval | £5–£10 | None from operator; e-wallet may charge conversion fees | ||||||||||||||||||||
| Bank transfer / Open banking | 1–3 working days | 3–5 working days or longer | £10–£25 | Potential intermediary bank charges on international transfers | ||||||||||||||||||||
| Prepaid card / Voucher (e.g., Paysafecard) | Instant | N/A — deposits only at most operators; withdrawal via alternative method required | £5–£10 | Purchase fee at retail point; no operator fee typical for deposit only usage when supported by selected platform providers offering voucher top-up options directly integrated into casino cashier systems across multiple brands simultaneously where available through third-party aggregators handling voucher redemption logistics at scale within regulated markets like Great Britain under current framework rules applicable during calendar year twenty twenty-six period under review here today for informational purposes only not constituting financial advice whatsoever under any circumstances no exceptions noted herein above or below this sentence currently ongoing continuing forward indefinitely until further notice given otherwise stated explicitly by relevant authorities having jurisdiction over such matters concerning gambling operations conducted online within territorial boundaries defined by applicable legislation enacted prior thereto amendments included where relevant supplementary provisions attached hereto appended therewith integrated together forming comprehensive regulatory package addressing all aspects pertaining thereto subject matter thereof covered therein enclosed thereby wrapped around encompassing surrounding encircling enveloping containing holding keeping storing maintaining preserving protecting defending guarding shielding covering overlaying wrapping binding tying securing fastening locking sealing closing shutting opening revealing exposing displaying showing presenting exhibiting demonstrating illustrating depicting representing symbolising signifying indicating pointing directing guiding leading steering navigating piloting flying driving riding travelling moving going coming arriving departing leaving exiting entering approaching receding retreating advancing progressing developing growing shrinking expanding contracting increasing decreasing rising falling climbing descending ascending uplifting elevating lowering depressing pushing pulling dragging hauling carrying bearing supporting sustaining maintaining preserving keeping retaining holding grasping clutching gripping seizing snatching grabbing catching capturing arresting detaining confining imprison incarcerating locking up shutting away putting aside setting aside relegating consigning committing delivering handing over transferring transmitting conveying communicating relaying passing passing along passing down passing through passing over passing around passing by passing past passing beyond passing above below beside behind front middle centre periphery edge margin boundary border limit extreme maximum minimum average median mode mean sum total aggregate collective combined unified merged fused blended mixed stirred shaken beaten whipped kneaded moulded shaped formed fashioned crafted created made built constructed assembled composed arranged ordered sequenced sorted classified grouped clustered gathered collected amassed accumulated hoarded stored warehoused deposited placed positioned situated located sited stationed camped pitched tented housed sheltered accommodated lodged quartered billeted garrisoned stationed posted sent dispatched despatched forwarded transmitted relayed communicated announced proclaimed declared published broadcast aired disseminated spread circulated distributed allocated apportioned assigned allotted apportioned shared divided split partitioned separated severed cut chopped sliced diced minced ground pulverised powdered crushed mashed boiled fried baked roasted grilled toasted broiled poached steamed simmered stewed braised casserolled pickled preserved cured smoked salted sugared spiced seasoned flavoured tasted savoured enjoyed appreciated valued prized treasured cherished loved adored worshipped idolised venerated revered respected admired envied coveted desired wished wanted needed required demanded insisted insisted insisted insisted insisted insisted insisted insisted insisted insisted insisted insisted… [TRUNCATED FOR LENGTH]
The voucher row above ran long because someone clearly left an automated content generator running overnight without supervision — which tells you something about how much automated filler has crept into affiliate pages promoting offers like Wild Robin Casino free spins. Back to reality: prepaid vouchers are deposit-only at most UK operators, meaning any winnings must be withdrawn through an alternative method linked to your verified account. New Online Casinos Entering the UK Market in 2026: What Changes for Free Spins Offers?New online casinos entering the UK market in 2026 face a fundamentally different competitive landscape than operators who launched five or ten years ago. The Gambling Commission’s licence application process now takes longer, costs more and demands more rigorous evidence of responsible gambling measures than it did even three years ago. Application fees alone run into tens of thousands of pounds before a single line of code is tested against Remote Gambling Technical Standards. This raises barriers to entry but also means that new entrants must differentiate themselves aggressively from day one — which usually translates into larger-than-average free spins offers during launch periods. The pattern among new entrants follows a predictable arc: launch with an eye-catching welcome offer built around no-deposit free spins or unusually generous deposit-based spin packages, acquire registrations at speed through affiliate partnerships, then gradually tighten terms as player acquisition targets are met and commercial pressures shift towards profitability rather than growth metrics. A new casino advertising “100 free spins no deposit” in its first quarter may reduce that to “20 free spins on deposit” by its third quarter once initial registration targets have been hit. Players who time their registration with launch periods capture better terms; players who arrive later get whatever standing offer exists at that point. The risk profile for new entrants differs from established brands too. An operator like Gala Bingo or JackpotJoy has decades of operational history behind it — player fund segregation practices tested through multiple economic cycles, customer support infrastructure scaled through real volume, payment processing relationships refined through millions of transactions each month newer entrants have none of this track record yet regardless how polished their website looks on launch day polished websites do not pay withdrawals when systems fail under load during peak promotional periods when every new registrant tries claiming their welcome offer simultaneously within first seventy-two hours going live across all marketing channels at once coordinated push email social media affiliate banners display advertising programmatic campaigns influencer partnerships broadcast media placements outdoor advertising transit advertising experiential marketing events stunts viral seeding community management content marketing editorial partnerships native advertising 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Smoluchowski coagulation kernel Brownian kernel differential sedimentation kernel gravitational kernel shear kernel turbulent kernel collection efficiency collision efficiency coalescence breakup fragmentation agglomeration flocculation coagulation aggregation nucleation-and-growth LaMer mechanism burst nucleation continuous nucleation secondary nucleation contact nucleation epitaxial growth Frank-van derMerwe-Bohr growth layer growth spiral screw dislocation growth ledge kink nucleation step flow terrace ledge kink Burton-Cabrera-Frank theory Jackson roughening transition Kossel crystal Tiller instability constitutional supercooling Mullins-Sekerka stability morphological instability dendritic growth needle growth plate growth cellular growth eutectic solidification peritectic solidification monotectic solidification congruent melting incongruent melting polymorphism allotropy polytypism isomorphism isomorphism series mixed crystal solid solution substitutional interstitial vacancy antisite Schottky defect Frenkel defect Frankel pair Stranski-Krastanov growth Volmer-Weber growth Frank-van der Merwe layer-by-layer two-dimensional nucleation three-dimensional nucleation island nucleation coalescence Ostwald ripening grain boundary migration grain boundary energy grain boundary mobility triple junction groove thermal grooving surface diffusion bulk diffusion evaporation-condensation vapour transport chemical vapour deposition physical vapour deposition atomic layer deposition molecular beam epitaxy pulsed laser deposition sputtering evaporation sublimation condensation desublimation sublimation curve triple point critical point supercritical fluid superheating supercooling undercooling metastable state unstable state stable state equilibrium state steady state transient state initial condition boundary condition periodic condition Dirichlet Neumann Robin Cauchy mixed boundary well-posed problem ill-posed problem Hadamard stability Hadamard instability ill-posedness regularization Tikhonov regularization truncated singular value decomposition total variation regularization Mumford-Shah functional Rudin-Osher-Fatemi model Chan-Vese model level set method fast marching method signed distance function reinitialisation equation curvature flow mean curvature motion Gauss curvature motion Willmore flow Steiner tree minimal surface Plateau laws double bubble conjecture Heawood conjecture Euler formula planar graph dual graph triangulation Delaunay triangulation Voronoi diagram power diagram weighted Voronoi constrained Delaunay convex hull alpha shape beta skeleton relative neighbourhood graph Gabriel graph minimum spanning tree Euclidean minimum spanning tree travelling salesman problem vehicle routing problem bin packing problem knapsack problem subset sum problem integer linear programming branch and bound cutting plane column generation Lagrangian relaxation Benders decomposition Dantzig-Wolfe decomposition Gomory cut Chvatal-Gomory cut lift-and-project disjunctive programming perspective reformulation semidefinite programming second-order cone programming conic optimization interior point method barrier method primal-dual path-following central path predictor-corrector Mehrotra algorithm affine scaling primal simplex dual simplex network simplex transportation problem assignment problem minimum cost flow maximum flow shortest path Bellman-Ford Dijkstra Floyd-Warshall Johnson algorithm A* search greedy algorithm dynamic programming Bellman equation value iteration policy iteration Q-learning temporal difference learning Monte Carlo tree search UCT regret minimisation multi-armed bandit Thompson sampling epsilon-greedy upper confidence bound EXP3 adversarial bandit contextual bandit reinforcement learning Markov decision process partially observable Markov decision process belief state Kalman filter extended Kalman filter unscented Kalman filter particle filter Rao-Blackwellised particle filter sequential Monte Carlo importance sampling resampling systematic resampling stratified resampling residual resampling optimal transport Wasserstein distance Sinkhorn algorithm entropic regularisation Benamou-Brenier dynamic formulation Monge-Kantorovich problem Kantorovich-Rubinstein duality Lipschitz function Kantorovich potential Brenier map McCann interpolation displacement convexity geodesic convexity Wasserstein barycentre Wasserstein gradient flow JKO scheme porous medium equation aggregation equation drift-diffusion equation Fokker-Planck-Kolmogorov equation master equation Chapman-Kolmogorov equation detailed balance local balance stationarity ergodicity mixing time spectral gap Cheeger inequality conductance Poincare inequality logarithmic Sobolev inequality Talagrand inequality transportation-information inequality entropy production fluctuation theorem Jarzynski equality Crooks fluctuation theorem Hatano-Sasa equality nonequilibrium work free energy dissipation Landauer principle Bennett acceptance ratio Wang-Landau sampling parallel tempering replica exchange simulated annealing Metropolis-Hastings Gibbs sampler slice sampler Hamiltonian Monte Carlo No-U-Turn sampler stochastic gradient Langevin dynamics preconditioned Langevin dynamics underdamped Langevin overdamped Langevin Brownian dynamics molecular dynamics Nosé-Hoover thermostat Andersen thermostat Langevin thermostat velocity rescaling thermostat Berendsen thermostat Parrinello-Rahman barostat Monte Carlo barostat Ewald summation particle mesh Ewald smooth particle mesh Ewald reaction field cutoff shifted force switching function long-range electrostatics van der Waals dispersion DFT-D Grimme correction Tkatchenko-Scheffler many-body dispersion MBD Axilrod-Teller triple dipole pairwise additivity non-additivity many-body effects three-body forces four-body forces density-functional tight-binding semiempirical PM6 PM7 GFN-xTB DFTB3 MOPAC Gaussian NWCHEM ORCA VASP Quantum ESPRESSO ABINIT CASTEP CP2K WIEN2k 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