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The coloring of graphs in a linear number of steps

✍ Scribed by A. A. Kalnin'sh


Publisher
Springer US
Year
1974
Tongue
English
Weight
830 KB
Volume
7
Category
Article
ISSN
1573-8337

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## Abstract The distance coloring number __X__~__d__~(__G__) of a graph __G__ is the minimum number __n__ such that every vertex of __G__ can be assigned a natural number __m__ ≀ __n__ and no two vertices at distance __i__ are both assigned __i__. It is proved that for any natural number __n__ ther