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Note on a new coloring number of a graph

✍ Scribed by P. Horák; J. Širáň

Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
112 KB
Volume
4
Category
Article
ISSN
0364-9024

No coin nor oath required. For personal study only.

✦ Synopsis

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 there exists a graph G with X~d~(G) = n.

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