Erd�s on Graphs

His Legacy of Unsolved Problems

Fan Chung, Ron Graham

$120

Paperback

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English

CRC Press
12 December 2019

Discrete mathematics; Combinatorics & graph theory

"This book is a tribute to Paul Erd\H{o}s, the wandering mathematician once described as the ""prince of problem solvers and the absolute monarch of problem posers."" It examines -- within the context of his unique personality and lifestyle -- the legacy of open problems he left to the world after his death in 1996. Unwilling to succumb to the temptations of money and position, Erd\H{o}s never had a home and never held a job. His ""home"" was a bag or two containing all his belongings and a record of the collective activities of the mathematical community. His ""job"" was one at which he excelled: identifying a fundamental roadblock in some particular line of approach and capturing it in a well-chosen, often innocent-looking problem, whose solution would likewise provide insight into the underlying theory. By cataloguing the unsolved problems of Erd\H{o}s in a comprehensive and well-documented volume, the authors hope to continue the work of an unusual and special man who fundamentally influenced the field of mathematics."

By: Fan Chung, Ron Graham
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 184mm,
Weight: 453g
ISBN: 9780367447939
ISBN 10: 0367447932
Pages: 142
Publication Date: 12 December 2019
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

1. Introduction 2. Ramsey Theory 3. Extremal Graph Theory 4. Coloring, Packing, and Covering 5. Random Graphs and Graph Enumeration 6. Hypergraphs 7. Infinite Graphs

Chung, Fan; Graham, Ron