(k,r) - Semi Strong Chromatic Number of a Graph
نویسندگان
چکیده
Let G = (V, E) be a simple, finite, undirected graph. Let k, r be positive integers. A set S V (G) is called (k, r)-semi strongly stable set if | (u) S| k, for all u V (G). A partition of V(G) into (k, r)-semi strongly stable sets is called (k, r)-semi strong coloring of G. The minimum order of a (k, r)-semi strong coloring of G is called (k, r)-semi strong chromatic number of G and it is denoted by (G). The number (G) is determined for various known graphs and some bounds are obtained for it. Keywords— (k, r)-semi strongly stable set, (k, r)-chromatic number.
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تاریخ انتشار 2011