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An Application of Ramsey Theory to Coding for the Optical Channel

✍ Scribed by Kashyap, Navin; Siegel, Paul H.; Vardy, Alexander


Book ID
118199563
Publisher
Society for Industrial and Applied Mathematics
Year
2005
Tongue
English
Weight
236 KB
Volume
19
Category
Article
ISSN
0895-4801

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## Abstract Given graphs __G__ and __H__, an edge coloring of __G__ is called an (__H__,__q__)‐coloring if the edges of every copy of __H__ βŠ‚ __G__ together receive at least __q__ colors. Let __r__(__G__,__H__,__q__) denote the minimum number of colors in a (__H__,__q__)‐coloring of __G__. In 9 Erd