Recent Trends in Combinatorics: The Legacy of Paul Erdős

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  • Format: Hardcover
  • Copyright: 2001-04-23
  • Publisher: Cambridge University Press
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This is a collection of surveys and research papers on topics of interest in combinatorics, given at a conference in Mtrahza, Hungary. Originally published in journal form, it is here reissued as a book due to its special interest. It is dedicated to Paul Erds, who attended the conference and who is represented by two articles in the collection, including one, unfinished, which he was writing on the eve of his sudden death. Erds was one of the greatest mathematicians of his century and often the subject of anecdotes about his somewhat unusual lifestyle. A preface, written by friends and colleagues, gives a flavour of his life, including many such stories, and also describes the broad outline and importance of his work in combinatorics and other related fields. Here is a succinct introduction to important ideas in combinatorics for researchers and graduate students.

Table of Contents

Preface vii
Paul Erdos: The Man and the Mathematician (1913-1996) ix
Miklos Simonovits
Vera T. Sos
A Selection of Problems and Results in Combinatorics
Paul Erdos
Combinatorial Nullestellensatz
Noga Alon
Connectedness, Classes and Cycle Index
E. A. Bender
P. J. Cameron
A. M. Odlyzko
L. B. Richmond
A Tutte Polynomial for Coloured Graphs
Bela Bollobas
Oliver Riordan
Notes on Sum-Free and Related Sets
Peter J. Cameron
Paul Erdos
Geometrical Bijections in Discrete Lattices
Hans-Georg Carstens
Walter A. Deuber
Wolfgang Thumser
Elke Koppenrade
On Random Intersection Graphs: The Subgraph Problem
Michal Karonski
Edward R. Scheinerman
Karen B. Singer-Cohen
The Blow-up Lemma
Janos Komlos
The Homomorphism Structure of Classes of Graphs
Jaroslav Nesetril
Problem Collection of the DIMANET Matrahaza Workshop, 22-28 October 1995 185

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