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Edge colorings of complete graphs without tricolored triangles

✍ Scribed by András Gyárfás; Gábor Simony

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
59 KB
Volume
46
Category
Article
ISSN
0364-9024

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✦ Synopsis

Abstract

We show some consequences of results of Gallai concerning edge colorings of complete graphs that contain no tricolored triangles. We prove two conjectures of Bialostocki and Voxman about the existence of special monochromatic spanning trees in such colorings. We also determine the size of largest monochromatic stars guaranteed to occur. © 2004 Wiley Periodicals, Inc. J Graph Theory 46: 211–216, 2004

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