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Barbour, A.D., Brightwell, Graham and Luczak, Malwina J. (2022) Long-term concentration of measure and cut-off. Stochastic Processes and Their Applications, 152. 378 - 423. ISSN 0304-4149
Brightwell, Graham, Fairthorne, Marianne and Luczak, Malwina J. (2018) The supermarket model with bounded queue lengths in equilibrium. Journal of Statistical Physics, 173 (3-4). pp. 1149-1194. ISSN 0022-4715
Brightwell, Graham, House, Thomas and Luczak, Malwina J. (2018) Extinction times in the subcritical stochastic SIS logistic epidemic. Journal of Mathematical Biology, 77 (2). pp. 455-493. ISSN 0303-6812
Brightwell, Graham, Janson, Svante and Luczak, Malwina (2017) The greedy independent set in a random graph with given degrees. Random Structures and Algorithms, 51 (4). 565 - 586. ISSN 1042-9832
Brightwell, Graham and Keller, Mitchel T. (2015) The reversal ratio of a poset. Order - a Journal on the Theory of Ordered Sets and Its Applications, 32 (1). pp. 43-52. ISSN 0167-8094
Allen, Peter 
ORCID: 0000-0001-6555-3501, Brightwell, Graham and Skokan, Jozef ORCID: 0000-0003-3996-7676
(2013)
Ramsey-goodness - and otherwise.
Combinatorica, 33 (2).
pp. 125-160.
ISSN 0209-9683
Brightwell, Graham and Massow, Mareike (2013) Diametral pairs of linear extensions. SIAM Journal on Discrete Mathematics, 27 (2). pp. 634-649. ISSN 0895-4801
Brightwell, Graham, Panagiotou, Konstantinos and Steger, Angelika (2012) Extremal subgraphs of random graphs. Random Structures and Algorithms, 41 (2). pp. 147-178. ISSN 1042-9832
Brightwell, Graham and Luczak, Malwina J. (2012) Order-invariant measures on fixed causal sets. Combinatorics, Probability and Computing, 21 (03). pp. 330-357. ISSN 0963-5483
Brightwell, Graham and Luczak, Malwina J. (2012) Vertices of high degree in the preferential attachment tree. Electronic Journal of Probability, 17. pp. 1-43. ISSN 1083-6489
Brightwell, Graham, Cohen, Gérard, Fachini, Emanuela, Fairthorne, Marianne, Körner, János, Simonyi, Gábor and Tóth, Ágnes (2011) Permutation capacities and oriented infinite paths. Electronic Notes in Discrete Mathematics, 38. pp. 195-199. ISSN 1571-0653
Bollobás, Bela, Brightwell, Graham and Morris, Robert (2011) Shadows of ordered graphs. Journal of Combinatorial Theory, Series A, 118 (3). pp. 729-747. ISSN 0097-3165
Brightwell, Graham and Luczak, Malwina J. (2011) Order-invariant measures on causal sets. Annals of Applied Probability, 21 (4). pp. 1493-1536. ISSN 1050-5164
Allen, Peter ORCID: 0000-0001-6555-3501, Brightwell, Graham and Skokan, Jozef ORCID: 0000-0003-3996-7676
(2010)
Ramsey-goodness - and otherwise.
.
arXiv.org.
Brightwell, Graham and Patel, Viresh (2010) Average relational distance in linear extensions of posets. Discrete Mathematics, 310 (5). pp. 1016-1021. ISSN 0012-365X
Brightwell, Graham and Georgiou, Nicholas (2010) Continuum limits for classical sequential growth models. Random Structures and Algorithms, 36 (2). pp. 218-250. ISSN 1042-9832
Brightwell, Graham, Cohen, Gerard, Toth, Agnes, Fairthorne, Marianne, Fachini, Emanuela, Koerner, Janos and Simonyi, Gabor (2010) Permutation capacities of families of oriented infinite paths. SIAM Journal on Discrete Mathematics, 24 (2). pp. 441-456. ISSN 0895-4801
Brightwell, Graham, Panagiotou, Konstantinos and Steger, Angelika (2009) Extremal subgraphs of random graphs: an extended version. . arXiv.
Brightwell, Graham and Luczak, Malwina (2009) Order-invariant measures on fixed causal sets. . arXiv.
Bollobas, Bela, Brightwell, Graham and Morris, Robert (2009) Shadows of ordered graphs. . arXiv.
Brightwell, Graham and Winkler, Peter (2009) Submodular percolation. SIAM Journal on Discrete Mathematics, 23 (3). pp. 1149-1178. ISSN 0895-4801
Brightwell, Graham (2009) A result in 2d causal set theory: the emergence of spacetime. Journal of Physics: Conference Series, 174 (012049). pp. 1-6. ISSN 1742-6596
Brightwell, Graham, Henson, Joe and Surya, Sumati (2008) A 2D model of causal set quantum gravity: the emergence of the continuum. Classical and Quantum Gravity, 25 (10). p. 105025. ISSN 0264-9381
Brightwell, Graham, Panagiotou, Konstantinos and Steger, Angelika (2007) On extremal subgraphs of random graphs. In: 18th ACM-SIAM Symposium on Discrete Algorithms, 2007-01-07 - 2007-01-09, New Orleans LA, United States, USA.
Brightwell, Graham and Winkler, P (2007) Submodular percolation. . London School of Economics and Political Science, London, UK.
Brightwell, Graham, Alon, Nogo, Kierstead, H. A, Kostochka, A. V and Winkler, P (2006) Dominating sets in k-majority tournaments. Journal of Combinatorial Theory, Series B, 96 (3). pp. 374-387. ISSN 0095-8956
Brightwell, Graham and Bollobás, Bela (2006) How many graphs are unions of k-cliques? Journal of Graph Theory, 52 (2). pp. 87-107. ISSN 0364-9024
van den Heuvel, Jan ORCID: 0000-0003-0897-9148, Brightwell, Graham and Stougie, Leen
(2006)
A linear bound on the diameter of the transportation polytope.
Combinatorica, 26 (2).
pp. 133-139.
ISSN 0209-9683
Alon, Noga, Brightwell, Graham, Kierstead, H. A., Kostochka, A. V. and Winkler, Peter (2004) Dominating sets in k-majority tournaments. CDAM research report series (LSE-CDAM-2004-11). Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.
Brightwell, Graham and Winkler, Peter (2004) Note on counting Eulerian circuits. CDAM research report series (LSE-CDAM-2004-12). Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.
Brightwell, Graham and Winkler, Peter (2004) Graph homomorphisms and long range action. In: Nešetril, Jaroslav and Winkler, Peter, (eds.) Graphs, Morphisms and Statistical Physics. DIMACS Series in Discrete Mathematics and Computer Science. American Mathematical Society, Providence, Rhode Island, USA, pp. 29-48. ISBN 0821835513
Brightwell, Graham and Winkler, P. (2004) A second threshold for the hard-core model on a Bethe lattice. Random Structures & Algorithms, 24 (3). pp. 303-314. ISSN 1098-2418
Bekmetjev, Airat, Brightwell, Graham, Czygrinow, Andrzej and Hurlbert, Glenn (2003) Thresholds for families of multisets, with an application to graph pebbling. Discrete Mathematics, 269 (1-3). pp. 21-34. ISSN 0012-365X
Brightwell, Graham and Winkler, Peter (2003) A second threshold for the hard-core model on a Bethe lattice. CDAM research report series (LSE-CDAM-2003-05). Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.
Brightwell, Graham and Trotter, William T. (2002) A combinatorial approach to correlation inequalities. Discrete Mathematics, 257 (2-3). pp. 311-327. ISSN 0012-365X
Brightwell, Graham and Winkler, Peter (2002) Hard constraints and the Bethe Lattice: adventures at the interface of combinatorics and statistical physics. In: Proceedings of the International Congress of Mathematicians: Beijing 2002, August 20-28 (International Congress of Mathematician. Higher Education Press, pp. 605-624. ISBN 9787040086904
Brightwell, Graham and Winkler, Peter (2002) Random colorings of a cayley tree. In: Bollobás, Bela, (ed.) Contemporary Combinatorics. Bolyai Society Mathematical Studies. Springer Berlin / Heidelberg, U.K., pp. 247-276. ISBN 9783540427254
Brightwell, Graham and Katona, Gyula (2001) A new type of coding problem. Studia Scientiarum Mathematicarum Hungarica, 38 (1-4). pp. 139-147. ISSN 0081-6906
Brightwell, Graham, Oriolo, G. and Shepherd, F. B. (2001) Reserving Resilient Capacity in a Network. SIAM Journal on Discrete Mathematics, 14 (4). pp. 524-539. ISSN 0895-4801
Brightwell, Graham and West, Douglas (2000) Partially ordered sets. In: Rosen, Kenneth H, (ed.) Handbook of Discrete and Combinatorial Mathematics. CRC Press, Boca Raton, Florida, U.S., pp. 717-752. ISBN 9780849301490
Bollobás, Bela and Brightwell, Graham (2000) Convex bodies, graphs and partial orders. Proceedings of the London Mathematical Society, 80 (2). pp. 415-450. ISSN 0024-6115
Brightwell, Graham and Winkler, P. (1999) Graph homomorphisms and phase transitions. Journal of Combinatorial Theory, Series B, 77 (2). pp. 221-262. ISSN 0095-8956
Brightwell, Graham, Bollobás, Béla and Sidorenko, Alexander (1999) Geometrical techniques for estimating numbers of linear extensions. European Journal of Combinatorics, 20 (5). pp. 329-335. ISSN 0195-6698
Brightwell, Graham, Grable, D. A. and Prömel, H. J. (1999) Forbidden induced partial orders. Discrete Mathematics, 201 (1-3). pp. 53-80. ISSN 0012-365X
Brightwell, Graham, Haggström, O. and Winkler, P. (1999) Nonmonotonic behavior in hard-core and Widom-Rowlinson models. Journal of Statistical Physics, 94 (3-4). pp. 415-435. ISSN 0022-4715
Brightwell, Graham (1999) Balanced pairs in partial orders. Discrete Mathematics, 201 (1-3). pp. 25-52. ISSN 0012-365X
