This book explores the theoryas 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.Erd Ios, P., Video recording of the talk aTwenty five years of questions and answers, a 25th South-Eastern International Conference On Combinatorics, Graph ... Hadwiger, H., Ungel Ioste Probleme, Nr. 11, Elemente der Mathematik 16 ( 1961), 103a104. ... Hadwiger, H., Debrunner, H., and Klee, V., Combinatorial Geometry in the Plane, Holt, Rinehart and Winston, NY, 1964. ... Hoffman, I., and Soifer, A., Almost chromatic number of the plane, Geombinatorics III(2), (1993), 38a40.
|Publisher||:||Springer Science & Business Media - 2010-10-29|