Ramsey theory : yesterday, today, and tomorrow

Author(s)

• Soifer, Alexander

Bibliographic Information

Ramsey theory : yesterday, today, and tomorrow

Alexander Soifer, editor

（Progress in mathematics, v. 285）

Birkhäuser , Springer, c2011

Note

Includes bibliographical references

Description and Table of Contents

Description

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.

Table of Contents

How This Book Came into Being.- Table of Contents.- Ramsey Theory before Ramsey, Prehistory and Early History: An Essay in 13 Parts.- Eighty Years of Ramsey R(3, k). . . and Counting!.- Ramsey Numbers Involving Cycles.- On the function of Erd s and Rogers.- Large Monochromatic Components in Edge Colorings of Graphs.- Szlam's Lemma: Mutant Offspring of a Euclidean Ramsey Problem: From 1973, with Numerous Applications.- Open Problems in Euclidean Ramsey Theory.- Chromatic Number of the Plane and Its Relatives, History, Problems and Results: An Essay in 11 Parts.- Euclidean Distance Graphs on the Rational Points.- Open Problems Session.

by "Nielsen BookData"

Details

• NCID: BB04137223
• ISBN:
  • 9780817680916
• LCCN: 2010938367
• Country Code: xx
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: [S.l.],New York
• Pages/Volumes: xiv, 189 p.
• Size: 25 cm
• Classification:
  • SG : 510
• Parent Bibliography ID:
  • BA00018010