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Three color Ramsey number of K4 − e

By Geoffrey Exoo

Abstract

AbstractWe show that 28⩽r(K4−e;3)⩽32. The construction used to establish the lower bound is made by using the strongly regular Schläfli graph for one of the colors, and then by partitioning its complement into two isomorphic graphs. The coloring has the property that each edge is on exactly one monochromatic K3, hence the vertex sets of these K3's form a Steiner triple system

Publisher: Published by Elsevier B.V.
Year: 1991
DOI identifier: 10.1016/0012-365X(91)90122-I
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