Relaxed Locally Identifying Coloring of Graphs
نویسندگان
چکیده
منابع مشابه
Locally Identifying Coloring of Graphs
We introduce the notion of locally identifying coloring of a graph. A proper vertex-coloring c of a graph G is said to be locally identifying, if for any adjacent vertices u and v with distinct closed neighborhood, the sets of colors that appear in the closed neighborhood of u and v are distinct. Let χlid(G) be the minimum number of colors used in a locally identifying vertex-coloring of G. In ...
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Assume that a graph G has a good-coloring which uses at most r colors in the neighborhood of every vertex. We call this kind of coloring a local r-coloring . Is it true that the chromatic number of G is bounded? For r = 1 the answer is easy, G is bipartite, as it cannot have an odd circuit . For r = 2, however, the situation is completely different. A graph can be given with arbitrarily large (...
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ژورنال
عنوان ژورنال: Graphs and Combinatorics
سال: 2016
ISSN: 0911-0119,1435-5914
DOI: 10.1007/s00373-016-1677-z