Research
Extremal combinatorics, Probabilistic combinatorics, Graph polynomials / partition functions, Phase transitions, Approximation algorithms (for counting)
Interests
TBC
Publications of specific relevance to the Centre for Combinatorics, Algebra and Number Theory

Publications of specific relevance to the Centre for Combinatorics, Algebra and Number Theory
2025
Cycle Partitions in Dense Regular Digraphs and Oriented GraphsLo A Patel V Yıldız MA
Forum of Mathematics Sigma,
Cambridge University Press (Cup) vol. 13
01-01-20252024
Improved bounds for the zeros of the chromatic polynomial via Whitney's Broken Circuit TheoremJenssen M Patel V Regts G
Journal of Combinatorial Theory Series B,
Elsevier vol. 169, 233-252.
01-11-2024
Hamilton cycles in dense regular digraphs and oriented graphsLo A Patel V Yıldız MA
Journal of Combinatorial Theory Series B,
Elsevier vol. 164, 119-160.
01-01-20242023
Orthogonal schedules in single round robin tournamentsLambers R Briët J Patel V Spieksma F Yıldız MA
Operations Research Letters,
Elsevier vol. 51 (5), 528-532.
01-09-2023
Cycle Partition of Dense Regular Digraphs and Oriented GraphsLo A Patel V Yildiz MA
Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications. (12), 717-724.
28-08-20232022
Approximate counting using Taylor's theorem: a surveyPatel V Regts G
15-12-2022
A POLYNOMIAL-TIME ALGORITHM TO DETERMINE (ALMOST) HAMILTONICITY OF DENSE REGULAR GRAPHSPatel V Stroh F
Siam Journal on Discrete Mathematics,
Society For Industrial and Applied Mathematics vol. 36 (2), 1363-1393.
07-06-2022
Sampling from the low temperature Potts model through a Markov chain on flowsHuijben J Patel V Regts G
Random Structures and Algorithms,
Wiley 16-04-2022
Lee–Yang zeros and the complexity of the ferromagnetic Ising model on bounded-degree graphsBuys P Galanis A Patel V Regts G
Forum of Mathematics Sigma,
Cambridge University Press (Cup) vol. 10
01-01-20222021
On zero-free regions for the anti-ferromagnetic potts model on bounded-degree graphsBencs F Davies E Patel V Regts G
Annales De L’Institut Henri Poincaré D,
Ems Press vol. 8 (3), 459-489.
23-09-2021
Structure and colour in triangle-free graphsAravind NR van Batenburg WC Kang RJ Cambie S de Verclos RDJ Patel V
Journal of Combinatorics,
Electronic Journal of Combinatorics vol. 28 (2)
18-06-2021
Lee-Yang zeros and the complexity of the ferromagnetic Ising Model on bounded-degree graphsBuys P Galanis A Patel V Regts G
Proceedings of the Annual ACM SIAM Symposium on Discrete Algorithms., 1508-1519.
01-01-2021
Path Decompositions of Random Directed GraphsEspuny Díaz A Patel V Stroh F
In
Extended Abstracts Eurocomb 2021,
Springer Nature 702-706.
01-01-20212020
Switch-Based Markov Chains for Sampling Hamiltonian Cycles in Dense GraphsKleer P Patel V Stroh F
The Electronic Journal of Combinatorics,
The Electronic Journal of Combinatorics vol. 27 (4)
13-11-2020
Statistical physics approaches to Unique GamesCoulson M Davies E Kolla A Patel V Regts G
Leibniz International Proceedings in Informatics Lipics. vol. 169
01-07-2020
Decomposing tournaments into pathsLo A Patel V Skokan J Talbot J
Proceedings of The London Mathematical Society,
Wiley vol. 121 (2), 426-461.
29-04-20202019
Discrepancy and large dense monochromatic subsetsKang RJ Patel V Regts G
Journal of Combinatorics,
International Press of Boston vol. 10 (1), 87-109.
01-01-20192018
Hamilton Cycles in Sparse Robustly Expanding DigraphsLo A Patel V
The Electronic Journal of Combinatorics,
The Electronic Journal of Combinatorics vol. 25 (3)
07-09-2018
Computing the Number of Induced Copies of a Fixed Graph in a Bounded Degree GraphPatel V Regts G
Algorithmica,
Springer Nature vol. 81 (5), 1844-1858.
05-09-2018
Excluding Hooks and their ComplementsChoromanski K Falik D Liebenau A Patel V Pilipczuk M
The Electronic Journal of Combinatorics,
The Electronic Journal of Combinatorics vol. 25 (3)
24-08-20182017
On a Ramsey‐type problem of Erdős and PachKang RJ Long E Patel V Regts G
Bulletin of The London Mathematical Society,
Wiley vol. 49 (6), 991-999.
06-10-2017
Decomposing tournaments into pathsLo A Patel V Skokan J Talbot J
Electronic Notes in Discrete Mathematics,
Elsevier vol. 61, 813-818.
01-08-2017
Deterministic polynomial-time approximation algorithms for partition functions and graph polynomialsPatel V Regts G
Electronic Notes in Discrete Mathematics,
Elsevier vol. 61, 971-977.
01-08-2017
Deterministic Polynomial-Time Approximation Algorithms for Partition Functions and Graph PolynomialsPatel V Regts G
Siam Journal on Computing,
Society For Industrial & Applied Mathematics (Siam) vol. 46 (6), 1893-1919.
01-01-20172016
Parameterized Traveling Salesman Problem: Beating the AverageGutin G Patel V
Siam Journal on Discrete Mathematics,
Society For Industrial & Applied Mathematics (Siam) vol. 30 (1), 220-238.
01-01-20162015
On a Ramsey-type problem of Erdős and PachKang RJ Patel V Regts G
Electronic Notes in Discrete Mathematics,
Elsevier vol. 49, 821-827.
01-11-2015
A domination algorithm for {0,1}‐instances of the travelling salesman problemKühn D Osthus D Patel V
Random Structures and Algorithms,
Wiley vol. 48 (3), 427-453.
08-10-2015
Finding Shortest Paths Between Graph ColouringsJohnson M Kratsch D Kratsch S Patel V Paulusma D
Algorithmica,
Springer Nature vol. 75 (2), 295-321.
12-05-2015
Poset limits can be totally orderedHladký J Máthé A Patel V Pikhurko O
Transactions of The American Mathematical Society,
American Mathematical Society (Ams) vol. 367 (6), 4319-4337.
03-02-2015
A Precise Threshold for Quasi-Ramsey NumbersKang RJ Pach J Patel V Regts G
Siam Journal on Discrete Mathematics,
Society For Industrial & Applied Mathematics (Siam) vol. 29 (3), 1670-1682.
01-01-20152014
Mixing of the Glauber dynamics for the ferromagnetic Potts modelBordewich M Greenhill C Patel V
Random Structures and Algorithms,
Wiley vol. 48 (1), 21-52.
04-09-2014
Tight inequalities among set hitting times in Markov chainsGriffiths S Kang RJ Oliveira RI Patel V
Proceedings of The American Mathematical Society,
American Mathematical Society (Ams) vol. 142 (9), 3285-3298.
21-05-2014
Proof of a conjecture of Thomassen on Hamilton cycles in highly connected tournamentsKuehn D Lapinskas J Osthus D Patel V
Proceedings of The London Mathematical Society vol. 109, 733-762.
01-01-2014
Finding Shortest Paths Between Graph ColouringsJohnson M Kratsch D Kratsch S Patel V Paulusma D
Lecture Notes in Computer Science. vol. 8894, 221-233.
01-01-20142013
Obtaining Online Ecological Colourings by Generalizing First-FitJohnson M Patel V Paulusma D Trunck T
Theory of Computing Systems,
Springer Nature vol. 54 (2), 244-260.
07-12-2013
Tight complexity bounds for FPT subgraph problems parameterized by the clique-widthBroersma H Golovach PA Patel V
Theoretical Computer Science,
Elsevier vol. 485, 69-84.
01-05-2013
On Toughness and Hamiltonicity of 2K2‐Free GraphsBroersma H Patel V Pyatkin A
Journal of Graph Theory,
Wiley vol. 75 (3), 244-255.
19-02-2013
Determining Edge Expansion and Other Connectivity Measures of Graphs of Bounded GenusPatel V
Siam Journal on Computing,
Society For Industrial & Applied Mathematics (Siam) vol. 42 (3), 1113-1131.
01-01-2013
Proof of a conjecture of Thomassen on Hamilton cycles in highly connected tournamentsKühn D Lapinskas J Osthus D Patel V
In
The Seventh European Conference on Combinatorics, Graph Theory and Applications,
Springer Nature 471-476.
01-01-20132012
The complexity of finding uniform sparsest cuts in various graph classesBonsma P Broersma H Patel V Pyatkin A
Journal of Discrete Algorithms. vol. 14, 136-149.
01-07-2012
Reconfiguration graphs for vertex colourings of chordal and chordal bipartite graphsBonamy M Johnson M Lignos I Patel V Paulusma D
Journal of Combinatorial Optimization. vol. 27 (1), 132-143.
26-04-2012
Tight Complexity Bounds for FPT Subgraph Problems Parameterized by Clique-WidthBroersma H Golovach PA Patel V
Lecture Notes in Computer Science. vol. 7112, 207-218.
01-01-20122011
On the diameter of reconfiguration graphs for vertex colouringsBonamy M Johnson M Lignos I Patel V Paulusma D
Electronic Notes in Discrete Mathematics,
Elsevier vol. 38, 161-166.
01-12-2011
The Complexity Status of Problems Related to Sparsest CutsBonsma P Broersma H Patel V Pyatkin A
Lecture Notes in Computer Science. vol. 6460, 125-135.
01-01-20112010
Average relational distance in linear extensions of posetsBrightwell G Patel V
Discrete Mathematics,
Elsevier vol. 310 (5), 1016-1021.
01-03-2010
Determining Edge Expansion and Other Connectivity Measures of Graphs of Bounded GenusPatel V
Lecture Notes in Computer Science. vol. 6346, 561-572.
01-01-2010
Obtaining Online Ecological Colourings by Generalizing First-FitJohnson M Patel V Paulusma D Trunck T
Lecture Notes in Computer Science. vol. 6072, 240-251.
01-01-20102008
Partitioning PosetsPatel V
Order,
Springer Nature vol. 25 (2), 131-152.
01-05-20082007
Cutting two graphs simultaneouslyPatel V
Journal of Graph Theory,
Wiley vol. 57 (1), 19-32.
22-10-2007