Select Publications
Journal articles
2006, 'The generalized acyclic edge chromatic number of random regular graphs', Journal of Graph Theory, 53, pp. 101 - 125
,2005, 'Sampling regular graphs and a peer-to-peer network', Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 980 - 988
,2005, 'Bounds on the generalised acyclic chronatic numbers of bounded degree graphs', Graphs and Combinatorics, 21, pp. 407 - 419
,2005, 'Generation of simple quadrangulations of the sphere', Discrete Mathematics, 305, pp. 33 - 54
,2004, 'Hamiltonian decompositions of random bipartite regular graphs', Journal of Combinatorial Theory. Series B, 90, pp. 195 - 222, http://dx.doi.org/10.1016/j.jctb.2003.07.001
,2004, 'Corrigendum: The complexity of counting graph homomorphisms (Vol 17, pg 260, 2000)', Random Structures and Algorithms, 25, pp. 346 - 352
,2004, 'Random hypergraph processes with degree restrictions', Graphs and Combinatorics, 20, pp. 319 - 332
,2003, 'The relative complexity of approximate counting problems', Algorithmica (New York), 38, pp. 471 - 500, http://dx.doi.org/10.1007/s00453-003-1073-y
,2003, 'Connectedness of the Degree Bounded Star Process', Combinatorics, Probability and Computing, 12, pp. 269 - 283, http://dx.doi.org/10.1017/S0963548302005357
,2002, 'Convergence of the iterated prisoner's dilemma game', Combinatorics Probability and Computing, 11, pp. 135 - 147, http://dx.doi.org/10.1017/S096354830100503X
,2002, 'Very Rapid Mixing of the Glauber Dynamics for Proper Colorings on Bounded-Degree Graphs', Random Structures and Algorithms, 20, pp. 98 - 114, http://dx.doi.org/10.1002/rsa.10020
,2002, 'Permutation Pseudographs and Contiguity', Combinatorics, Probability and Computing, 11, http://dx.doi.org/10.1017/S0963548301005065
,2000, 'Polynomial-time counting and sampling of two-rowed contingency tables', Theoretical Computer Science, 246, pp. 265 - 278, http://dx.doi.org/10.1016/S0304-3975(99)00136-X
,2000, 'An extension of path coupling and its application to the glauber dynamics for graph colorings', SIAM Journal on Computing, 30, pp. 1962 - 1975, http://dx.doi.org/10.1137/s0097539700372708
,2000, 'Complexity of counting graph homomorphisms', Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 246 - 255
,2000, 'Extension of path coupling and its application to the Glauber dynamics for graph colourings', Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 616 - 624
,2000, 'On Markov Chains for Independent Sets', Journal of Algorithms, 35, pp. 17 - 49, http://dx.doi.org/10.1006/jagm.1999.1071
,2000, 'The complexity of counting colourings and independent sets in sparse graphs and hypergraphs', Computational Complexity, 9, pp. 52 - 72, http://dx.doi.org/10.1007/PL00001601
,2000, 'The complexity of counting graph homomorphisms', Random Structures and Algorithms, 17, pp. 260 - 289, http://dx.doi.org/10.1002/1098-2418(200010/12)17:3/4<260::aid-rsa5>3.0.co;2-w
,1999, 'An algorithm for recognising the exterior square of a matrix', Linear and Multilinear Algebra, 46, pp. 213 - 244, http://dx.doi.org/10.1080/03081089908818615
,1999, 'On approximately counting colorings of small degree graphs', SIAM Journal on Computing, 29, pp. 387 - 400, http://dx.doi.org/10.1137/S0097539798338175
,1998, 'A more rapidly mixing Markov chain for graph colorings', Random Structures and Algorithms, 13, pp. 285 - 317, http://dx.doi.org/10.1002/(sici)1098-2418(199810/12)13:3/4<285::aid-rsa6>3.0.co;2-r
,1998, 'A genuinely polynomial-time algorithm for sampling two-rowed contingency tables', , pp. 339 - 350, http://dx.doi.org/10.1007/BFb0055065
,1995, 'Theoretical and Experimental Comparison of Efficiency of Finite Field Extensions', Journal of Symbolic Computation, 20, pp. 419 - 429, http://dx.doi.org/10.1006/jsco.1995.1057
,1995, 'Smallest defining sets of some small t-designs and relations to the Petersen graph', Utilitas Mathematica, 48, pp. 5 - 31
,1993, 'An algorithm for finding smallest defining sets of t-designs', Journal of Combinatorial Mathematics and Combinatorial Computing, 14, pp. 39 - 60
,Conference Papers
2021, 'A Triangle Process on Regular Graphs', in Flocchini P; Moura L (ed.), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Springer Nature, ELECTR NETWORK, pp. 310 - 323, presented at 32nd International Workshop on Combinatorial Algorithms (IWOCA), ELECTR NETWORK, 05 July 2021 - 07 July 2021, http://dx.doi.org/10.1007/978-3-030-79987-8_22
,2020, 'Balanced allocation on dynamic hypergraphs', in Leibniz International Proceedings in Informatics, LIPIcs, http://dx.doi.org/10.4230/lipics.approx/random.2020.11
,2015, 'The switch Markov chain for sampling irregular graphs', in The 26th Annual ACM-SIAM Symposium on Discrete Algorithms, ACM-SIAM, San Diego, CA, USA, pp. 1565 - 1572, presented at 26th annual ACM-SIAM Symposium on Discrete Algorithms, San Diego, CA, USA, 04 January 2015 - 06 January 2015, http://dx.doi.org/10.1137/1.9781611973730.103
,2000, 'An extension of path coupling and its application to the Glauber dynamics for graph colourings (Extended abstract)', in PROCEEDINGS OF THE ELEVENTH ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS, SIAM, New York-Philadelphia, pp. 616 - 624, presented at 11th Annual ACM-SIAM Symposium on Discrete Algorithms, SAN FRANCISCO, CA, 09 January 2000 - 11 January 2000, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000085602800082&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a
,2000, 'The complexity of counting graph homomorphisms (extended abstract)', in PROCEEDINGS OF THE ELEVENTH ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS, SIAM, CA, SAN FRANCISCO, pp. 246 - 255, presented at 11th Annual ACM/SIAM Symposium on Discrete Algorithms, CA, SAN FRANCISCO, 09 January 2000 - 11 January 2000, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000085602800035&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1
,2000, 'On the relative complexity of approximate counting problems', in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), pp. 108 - 119, http://dx.doi.org/10.1007/3-540-44436-x_12
,1998, 'Beating the $2\Delta$ bound for approximately counting colourings: a computer-assisted proof of rapid mixing', in The 9th Annual ACM-SIAM Symposium on Discrete Algorithms, New York-Philidelphia, pp. 355 - 363, 25 January 1998 - 27 January 1998
,Working Papers
2021, Degree sequences of sufficiently dense random uniform hypergraphs, http://dx.doi.org, http://arxiv.org/abs/2106.08100v2
,Preprints
2023, Decomposing random regular graphs into stars, , http://arxiv.org/abs/2308.16037v1
,2023, A triangle process on graphs with given degree sequence, , http://arxiv.org/abs/2301.08499v1
,2022, Generating graphs randomly, , http://arxiv.org/abs/2201.04888v1
,2020, Sampling hypergraphs with given degrees, , http://dx.doi.org/10.48550/arxiv.2006.12021
,2019, The average number of spanning hypertrees in sparse uniform hypergraphs, , http://dx.doi.org/10.48550/arxiv.1907.04993
,2019, The mixing time of the switch Markov chains: a unified approach, , http://dx.doi.org/10.48550/arxiv.1903.06600
,2018, Enumerating sparse uniform hypergraphs with given degree sequence and forbidden edges, , http://dx.doi.org/10.48550/arxiv.1805.04991
,2016, A threshold result for loose Hamiltonicity in random regular uniform hypergraphs, , http://dx.doi.org/10.48550/arxiv.1611.09423
,2015, Hypergraph coloring up to condensation, , http://dx.doi.org/10.48550/arxiv.1508.01841
,2014, Asymptotic enumeration of sparse uniform linear hypergraphs with given degrees, , http://dx.doi.org/10.48550/arxiv.1409.1314
,2013, Asymptotic enumeration of sparse uniform hypergraphs with given degrees, , http://dx.doi.org/10.48550/arxiv.1306.2012
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