Ramsey Theory: Yesterday, Today, and Tomorrow

Couverture
Alexander Soifer
Springer Science & Business Media, 29 oct. 2010 - 190 pages
This book explores the theory’s history, recent developments, and some promising future directions through invited surveys written by prominent researchers in the field. The first three surveys provide historical background on the subject; the last three address Euclidean Ramsey theory and related coloring problems. In addition, open problems posed throughout the volume and in the concluding open problem chapter will appeal to graduate students and mathematicians alike.
 

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Table des matières

An Essay in 13 Parts
1
EightyYearsof RamseyR3kandCounting
27
Ramsey Numbers Involving Cycles
41
On the Function of Erdos and Rogers
63
A Survey
77
Mutant Offspring of a Euclidean Ramsey Problem from 1973 with Numerous Applications
97
Open Problems in Euclidean Ramsey Theory
114
An Essay in 11 Parts
121
Euclidean Distance Graphs on the Rational Points
163
Open Problems Session
177
Droits d'auteur

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À propos de l'auteur (2010)

Alexander Soifer is a Russian born and educated American mathematician, a professor of mathematics at the University of Colorado, an author of some 200 articles on mathematics, history of mathematics, mathematics education, film reviews, etc. He is Senior Vice President of the World Federation of National Mathematics Competitions, which in 2006 awarded him The Paul Erdos Award. 26 years ago Soifer founded and has since chaired the Colorado Mathematical Olympiad, and served on both the USSR and USA Mathematical Olympiads committees. Soifer's Erdos number is 1.

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