Preface
1: Peter Cameron: Orbit counting and the Tutte polynomial
2: Laura Chávez Lomelí and L.A. Goddyn: Eulerian and bipartite
orientable matroids
3: Graham Farr: Tutte-Whitney polynomials: some history and
generalisations
4: Alan Frieze and Eric Vigoda: A survey on the use of Markov
chains to randomly sample colorings
5: Jim Geelen, Bert Gerards, Geoff Whittle: Towards a matroid-minor
structure theory
6: Stefanie Gerke, Colin McDiarmid, Angelika Steger, Andreas
Weissl: Random planar graphs with a fixed number of edges
7: Andrew Goodall: Fourier analysis on finite Abelian groups: some
graphical applications
8: Geoffrey Grimmett: Flows and ferromagnets
9: Mark Jerrum: Approximating the Tutte polynomial
10: Bráulio Maia Junior, Manoel Lemos, T.R.B. Melo: Non-separating
circuits and cocircuits in matroids
11: Koko Kalambay Kayibi: Expanding the Tutte polynomial of a
matroid over the independent sets
12: László Lovász: Connection matrices
13: Steven Noble: Complexity of graph polynomials
14: Marc Noy: Random planar graphs and the number of planar
graphs
15: James Oxley: The contributions of Dominic Welsh to matroid
theory
16: J.L. Ramírez Alfonsín: On the unknotting problem
17: David Romero, Abdón Sánchez-Arroyo: Advances on the
Erdös-Faber-Lovász conjecture
18: David Stirzaker: Stochastic set-backs
Dominic Welsh has been the resident mathematician at Merton
College, Oxford, for about 40 years, where he has guided and
influenced generations of undergraduate and graduate students.
Prior to his formal retirement in 2005, he was a Professor in the
Mathematical Institute at Oxford University, where he served as
Chairman for five years. Dominic Welsh is a leading figure
worldwide in aspects of combinatorics and probability, including
matroids, complexity, and
percolation. Geoffrey Grimmett graduated under Dominic Welsh in
1971. He worked in Bristol University for 16 years before moving to
Cambridge in 1992 as Professor of Mathematical Statistics. He
is
currently Head of the Department of Pure Mathematics and
Mathematical Statistics, and a professorial fellow of Churchill
College. His main interests lie in probability theory and rigorous
statistical mechanics, and he is the author of successful texts on
percolation theory and the random-cluster model. Colin McDiarmid
gained his DPhil under Dominic Welsh in 1975. After a brief spell
at the London School of Economics he became a fellow of Wolfson
College, Oxford and then a fellow of Corpus
Christi College. He is currently Professor of Combinatorics and
Head of the Department of Statistics. His main interests lie in
combinatorial theory, particularly in random structures and
algorithms.
Dominic Welsh has made major contributions to the fields of
combinatorics and discrete probability. This volume summarises and
reviews the consistent themes from his work through a series of
articles written by renowed experts. These articles contain
original research work, set in a broader context by the inclusion
of review material.
*L'enseignement Mathematique*
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