Brightwell, GrahamOverview
Publication Timeline
Most widely held works by
Graham Brightwell
Combinatorics and probability : celebrating Béla Bollabás's 60th birthday
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Book
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2 editions published in 2007 in English and held by 131 WorldCat member libraries worldwide
The structure of random discrete spacetime
by Graham Brightwell
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Book
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1 edition published in 1990 in English and held by 68 WorldCat member libraries worldwide
Combinatorics and probability celebrating Béla Bollobás's 60th birthday
(
Book
)
4 editions published in 2007 in English and held by 9 WorldCat member libraries worldwide
Linear extensions of partially ordered sets
by Graham Brightwell
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Book
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2 editions published in 1987 in Undetermined and English and held by 3 WorldCat member libraries worldwide
Special issue on Ramsey theory
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Book
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1 edition published in 2003 in English and held by 2 WorldCat member libraries worldwide
Counting linear extensions is #Pcomplete
by Graham Brightwell
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Book
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1 edition published in 1990 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
Consultancy report
by Graham Brightwell
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Book
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1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
Random colorings of a cayley tree
by Graham Brightwell
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1 edition published in 2002 in English and held by 1 WorldCat member library worldwide This volume is a collection of survey papers in combinatorics that have grown out of lectures given in the workshop on Probabilistic Combinatorics at the Paul Erdös Summer Research Center in Mathematics in Budapest. The papers, reflecting the many facets of modernday combinatorics, will be appreciated by specialists and general mathematicians alike: assuming relatively little background, each paper gives a quick introduction to an active area, enabling the reader to learn about the fundamental results and appreciate some of the latest developments. An important feature of the articles, very much in the spirit of Erdös, is the abundance of open problems
A linear bound on the diameter of the transportation polytope
by G Brightwell
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Book
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1 edition published in 2003 in English and held by 1 WorldCat member library worldwide
Graph homomorphisms and long range action
by Graham Brightwell
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1 edition published in 2004 in English and held by 1 WorldCat member library worldwide
On extremal subgraphs of random graphs
by Graham Brightwell
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1 edition published in 2007 in English and held by 1 WorldCat member library 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
Orderinvariant measures on fixed causal sets
by Graham Brightwell
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1 edition published in 2009 in English and held by 1 WorldCat member library worldwide A causal set is a countably infinite poset in which every element is above finitely many others; causal sets are exactly the posets that have a linear extension with the ordertype of the natural numbers  we call such a linear extension a {\em natural extension}. We study probability measures on the set of natural extensions of a causal set, especially those measures having the property of {\em orderinvariance}: if we condition on the set of the bottom k elements of the natural extension, each possible ordering among these k elements is equally likely. We give sufficient conditions for the existence and uniqueness of an orderinvariant measure on the set of natural extensions of a causal set
Note on counting Eulerian circuits
by Graham Brightwell
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1 edition published in 2004 in English and held by 1 WorldCat member library worldwide We show that the problem of counting the number of Eulerian circuits in an undirected graph is complete for the class #P
Submodular percolation
by Graham Brightwell
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1 edition published in 2007 in English and held by 1 WorldCat member library worldwide
A second threshold for the hardcore model on a Bethe lattice
by Graham Brightwell
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1 edition published in 2003 in English and held by 1 WorldCat member library worldwide We determine the approximate value of a critical activity for the hardcore model on the Bethe lattice, which determines whether the unique simple invariant Gibbs measure is extremal. This “recovery threshold” turns out to be different both from the threshold for unique Gibbs measure and (in contrast to the Ising model) from the threshold for recovery of root information purely from statistical information about distant sites
Counting Eulerian circuits is #Pcomplete
by Graham Brightwell
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)
1 edition published in 2005 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
Partially ordered sets
by Graham Brightwell
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)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
A second threshold for the hardcore model on a Bethe lattice
by Graham Brightwell
(
)
1 edition published in 2003 in English and held by 1 WorldCat member library worldwide We determine the approximate value of a critical activity for the hardcore model on the Bethe lattice, which determines whether the unique simple invariant Gibbs measure is extremal. This “recovery threshold” turns out to be different both from the threshold for unique Gibbs measure and (in contrast to the Ising model) from the threshold for recovery of root information purely from statistical information about distant sites more
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Brightwell, Graham R.
Brightwell, Graham Richard.
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