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The game Grundy number of graphs

✍ Scribed by Frédéric Havet, Xuding Zhu


Book ID
120694176
Publisher
Springer US
Year
2012
Tongue
English
Weight
469 KB
Volume
25
Category
Article
ISSN
1382-6905

No coin nor oath required. For personal study only.


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It is proved in this note that the Grundy number, r(G), and the ochromatic number, xo(G), are the same for any graph G. An n-coloring of a graph G = ( V , E ) is a f u n c t i o n f f r o m V onto N = { I , 2 , . . . , n } such that, whenever vertices id and u are adjacent, then f ( u ) f f(u). An