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). 43-52. ISSN 0167-8094
Allen, Peter and
Brightwell, Graham and
Skokan, Jozef
(2013)
Ramsey-goodness - and otherwise
Combinatorica, 33 (2). 125-160. ISSN 0209-9683
Brightwell, Graham and
Luczak, Malwina J.
(2012)
Vertices of high degree in the preferential attachment tree
Electronic Journal of Probability, 17 (0). 1-43. ISSN 1083-6489
Brightwell, Graham and
Panagiotou, Konstantinos and
Steger, Angelika
(2012)
Extremal subgraphs of random graphs
Random Structures and Algorithms, 41 (2). 147-178. ISSN 1042-9832
Bollobás, Bela and
Brightwell, Graham and
Morris, Robert
(2011)
Shadows of ordered graphs
Journal of Combinatorial Theory, Series A, 118 (3). 729-747. ISSN 0097-3165
Brightwell, Graham and
Cohen, Gérard and
Fachini, Emanuela and
Fairthorne, Marianne and
Körner, János and
Simonyi, Gábor and
Tóth, Ágnes
(2011)
Permutation capacities and oriented infinite paths
Electronic Notes in Discrete Mathematics, 38. 195-199. ISSN 1571-0653
Brightwell, Graham and
Luczak, Malwina J.
(2011)
Order-invariant measures on causal sets
Annals of Applied Probability, 21 (4). 1493-1536. ISSN 1050-5164
Brightwell, Graham and
Georgiou, Nicholas
(2010)
Continuum limits for classical sequential growth models
Random Structures and Algorithms, 36 (2). 218-250. ISSN 1042-9832
Brightwell, Graham and
Cohen, Gerard and
Toth, Agnes and
Fairthorne, Marianne and
Fachini, Emanuela and
Koerner, Janos and
Simonyi, Gabor
(2010)
Permutation capacities of families of oriented infinite paths
SIAM Journal on Discrete Mathematics, 24 (2). 441-456. ISSN 0895-4801
Allen, Peter and
Brightwell, Graham and
Skokan, Jozef
(2010)
Ramsey-goodness -- and otherwise
arXiv.org.
Brightwell, Graham
(2009)
A result in 2d causal set theory: the emergence of spacetime
Journal of Physics: Conference Series, 174 (012049). 1-6. ISSN 1742-6596
Brightwell, Graham and
Luczak, Malwina
(2009)
Order-invariant measures on fixed causal sets
arXiv.
Brightwell, Graham and
Panagiotou, Konstantinos and
Steger, Angelika
(2009)
Extremal subgraphs of random graphs: an extended version
arXiv.
Brightwell, Graham and
Winkler, Peter
(2009)
Submodular percolation
SIAM Journal on Discrete Mathematics, 23 (3). 1149-1178. ISSN 0895-4801
Brightwell, Graham and
Winkler, P
(2007)
Submodular percolation
LSE-CDAM-2007-13. London school of economics and political science, London, UK.
Brightwell, Graham
(2007)
On external subgraphs of a random graph
In: Proceedings of the Eighteenth Annual ACM-SIAM Symposium on Discrete Algorithms. Association for Computing Machinery and Society for Industrial and Applied Mathematics, New York; Philadelphia, USA, 477-485. ISBN 9780898716245
Brightwell, Graham and
Panagiotou, Konstantinos and
Steger, Angelika
(2007)
On extremal subgraphs of random graphs
.
In: 18th ACM-SIAM Symposium on Discrete Algorithms, 7 - 9 January, New Orleans, Louisiana
van den Heuvel, Jan and
Brightwell, Graham and
Stougie, Leen
(2006)
A linear bound on the diameter of the transportation polytope
Combinatorica, 26 (2). 133-139. ISSN 0209-9683
Brightwell, Graham and
Alon, Nogo and
Kierstead, H. A and
Kostochka, A. V and
Winkler, P
(2006)
Dominating sets in k-majority tournaments
Journal of Combinatorial Theory - Series B, 96 (3). 374-387. ISSN 0095-8956
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, 63. American Mathematical Society, Providence, Rhode Island, USA, 29-48. ISBN 0821835513
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, P.
(2004)
A second threshold for the hard-core model on a Bethe lattice
Random Structures and Algorithms, 24 (3). 303-314. ISSN 1098-2418
Alon, Noga and
Brightwell, Graham and
Kierstead, H. A. and
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.
Bollobás, Bela and
Brightwell, Graham R. and
Leader, I.
(2003)
The number of 2-SAT functions
Israel Journal of Mathematics, 133. 45-60. ISSN 0021-2172
Bollobás, Bela and
Brightwell, Graham R.
(2003)
The number of k-SAT functions
Random Structures and Algorithms, 22 (3). 227-247. ISSN 1042-9832
Brightwell, Graham R. and
Oriolo, G. and
Shepherd, F. B.
(2003)
Reserving resilient capacity for a single commodity with upper-bound constraints
Networks, 41 (2). 87-96. ISSN 0028-3045
Brightwell, Graham R. and
Tetali, Prasad
(2003)
The number of linear extensions of the Boolean lattice
Order - a Journal on the Theory of Ordered Sets and Its Applications, 20 (4). 333-345. ISSN 0167-8094
Bekmetjev, Airat and
Brightwell, Graham and
Czygrinow, Andrzej and
Hurlbert, Glenn
(2003)
Thresholds for families of multisets, with an application to graph pebbling
Discrete Mathematics, 269 (1-3). 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 R. and
Dowker, Fay and
Garciá, Raquel S. and
Henson, Joe and
Sorkin, Rafael D.
(2003)
"Observables" in causal set cosmology
Physical Review D, 67 (8). Art. no. 084031. ISSN 1550-7998
Brightwell, Graham and
Winkler, Peter
(2002)
Random colorings of a cayley tree
In:
Bollobás, Bela, (ed.)
Contemporary Combinatorics. Bolyai Society Mathematical Studies, Vol. 1. Springer, U.K., 247-276. ISBN 9783540427254
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 Pr, 605-624. ISBN 9787040086904
Brightwell, Graham and
Katona, Gyula
(2001)
A new type of coding problem
Studia Scientiarum Mathematicarum Hungarica, 38 (1-4). 139-147. ISSN 0081-6906
Brightwell, Graham and
Oriolo, G. and
Shepherd, F. B.
(2001)
Reserving Resilient Capacity in a Network
SIAM Journal on Discrete Mathematics, 14 (4). 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., 717-752. ISBN 9780849301490
Brightwell, Graham R. and
Winkler, Peter
(2000)
Gibbs measures and dismantlable graphs
Journal of Combinatorial Theory, Series B, 78 (1). 141-166. ISSN 0095-8956
Bollobás, Bela and
Brightwell, Graham
(2000)
Convex bodies, graphs and partial orders
Proceedings of the London Mathematical Society, 80 (2). 415-450. ISSN 0024-6115
Brightwell, Graham and
Bollobás, Béla and
Sidorenko, Alexander
(1999)
Geometrical techniques for estimating numbers of linear extensions
European Journal of Combinatorics, 20 (5). 329-335. ISSN 0195-6698
Brightwell, Graham
(1999)
Balanced pairs in partial orders
Discrete Mathematics, 201 (1-3). 25-52. ISSN 0012-365X
Brightwell, Graham and
Winkler, P.
(1999)
Graph homomorphisms and phase transitions
Journal of Combinatorial Theory, Series B, 77 (2). 221-262. ISSN 0095-8956
Brightwell, Graham and
Haggström, O. and
Winkler, P.
(1999)
Nonmonotonic behavior in hard-core and Widom-Rowlinson models
Journal of Statistical Physics, 94 (3-4). 415-435. ISSN 0022-4715