Brightwell, Graham
Overview
Works:  26 works in 35 publications in 2 languages and 238 library holdings 

Roles:  Author 
Classifications:  QA164, 511.6 
Publication Timeline
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Most widely held works by
Graham Brightwell
Combinatorics and probability : celebrating Béla Bollabás's 60th birthday(
Book
)
2 editions published in 2007 in English and held by 134 WorldCat member libraries worldwide
2 editions published in 2007 in English and held by 134 WorldCat member libraries worldwide
The structure of random discrete spacetime by
Graham Brightwell(
Book
)
1 edition published in 1990 in English and held by 71 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 71 WorldCat member libraries worldwide
Combinatorics and probability celebrating Béla Bollobás's 60th birthday(
Book
)
5 editions published in 2007 in English and held by 11 WorldCat member libraries worldwide
5 editions published in 2007 in English and held by 11 WorldCat member libraries worldwide
A linear bound on the diameter of the transportation polytope by
G Brightwell(
Book
)
2 editions published in 2003 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 2003 in English and held by 4 WorldCat member libraries worldwide
Reorientations of covering graphs by
Graham Brightwell(
Book
)
3 editions published in 1988 in English and German and held by 3 WorldCat member libraries worldwide
3 editions published in 1988 in English and German and held by 3 WorldCat member libraries worldwide
Linear extensions of partially ordered sets by
Graham Brightwell(
Book
)
2 editions published in 1987 in Undetermined and English and held by 3 WorldCat member libraries worldwide
2 editions published in 1987 in Undetermined and English and held by 3 WorldCat member libraries worldwide
Special issue on Ramsey theory(
Book
)
1 edition published in 2003 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2003 in English and held by 2 WorldCat member libraries worldwide
Combinatronics and probability : celebrating Béla Bollobás's 60th birthday(
Book
)
1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2007 in English and held by 2 WorldCat member libraries worldwide
Counting linear extensions is #Pcomplete by
Graham Brightwell(
Book
)
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
New directions in algorithms, combinatorics and optimization : papers dedicated to Tom Trotter on the occasion of his 65th
birthday(
Book
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
Consultancy report by
Graham Brightwell(
Book
)
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
A resilience strategy for a single source destination pair by
Graham Brightwell(
Book
)
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
Special issue in honour of Béla Bollobás on his 60th birthday(
Book
)
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
Special issue in honour of Tom Trotter on his 65th birthday : papers from "New directions in algorithms, combinatorics and
optimization"(
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
Extremal subgraphs of random graphs: an extended version by
Graham Brightwell(
)
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
We prove that there is a constant $c >0$, such that whenever $p \ge n^{c}$, with probability tending to 1 when $n$ goes to infinity, every maximum trianglefree subgraph of the random graph $G_{n,p}$ is bipartite. This answers a question of Babai, Simonovits and Spencer (Journal of Graph Theory, 1990). The proof is based on a tool of independent interest: we show, for instance, that the maximum cut of almost all graphs with $M$ edges, where $M >> n$, is ``nearly unique''. More precisely, given a maximum cut $C$ of $G_{n,M}$, we can obtain all maximum cuts by moving at most $O(\sqrt{n^3/M})$ vertices between the parts of $C$
1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide
We prove that there is a constant $c >0$, such that whenever $p \ge n^{c}$, with probability tending to 1 when $n$ goes to infinity, every maximum trianglefree subgraph of the random graph $G_{n,p}$ is bipartite. This answers a question of Babai, Simonovits and Spencer (Journal of Graph Theory, 1990). The proof is based on a tool of independent interest: we show, for instance, that the maximum cut of almost all graphs with $M$ edges, where $M >> n$, is ``nearly unique''. More precisely, given a maximum cut $C$ of $G_{n,M}$, we can obtain all maximum cuts by moving at most $O(\sqrt{n^3/M})$ vertices between the parts of $C$
Graph homomorphisms and long range action by
Graham Brightwell(
)
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 0 WorldCat member libraries worldwide
On external subgraphs of a random graph by
Graham Brightwell(
)
1 edition published in 2007 in English and held by 0 WorldCat member libraries worldwide
Held in New Orleans, LA, January 79, 2007. This symposium was sponsored by the ACM Special Interest Group on Algorithms and Computation Theory and the SIAM Activity Group on Discrete Mathematics
1 edition published in 2007 in English and held by 0 WorldCat member libraries worldwide
Held in New Orleans, LA, January 79, 2007. This symposium was sponsored by the ACM Special Interest Group on Algorithms and Computation Theory and the SIAM Activity Group on Discrete Mathematics
On extremal subgraphs of random graphs by
Graham Brightwell(
)
1 edition published in 2007 in English and held by 0 WorldCat member libraries worldwide
Let Kl denote the complete graph on vertices. We prove that there is a constant c = c(l) > 0, such that whenever p >= n(c), with probability tending to 1 when n goes to infinity, every maximum Klfree subgraph of the binomial random graph G(n,p) is (l1)partite. This answers a question of Babai, Simonovits and Spencer [3]. The proof is based on a tool of independent interest: we show, for instance, that the maximum cut of almost all graphs with M edges, where M >> n, is nearly unique. More precisely, given a maximum cut C of G(n,m), we can obtain all maximum cuts by moving at most O (root n(3/)M) vertices between the parts of C
1 edition published in 2007 in English and held by 0 WorldCat member libraries worldwide
Let Kl denote the complete graph on vertices. We prove that there is a constant c = c(l) > 0, such that whenever p >= n(c), with probability tending to 1 when n goes to infinity, every maximum Klfree subgraph of the binomial random graph G(n,p) is (l1)partite. This answers a question of Babai, Simonovits and Spencer [3]. The proof is based on a tool of independent interest: we show, for instance, that the maximum cut of almost all graphs with M edges, where M >> n, is nearly unique. More precisely, given a maximum cut C of G(n,m), we can obtain all maximum cuts by moving at most O (root n(3/)M) vertices between the parts of C
Partially ordered sets by
Graham Brightwell(
)
1 edition published in 2000 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 0 WorldCat member libraries worldwide
Submodular percolation by
Graham Brightwell(
)
1 edition published in 2007 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2007 in English and held by 0 WorldCat member libraries worldwide
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