Long dominating cycles in graphs 1
نویسندگان
چکیده
Let G be a connected graph of order n, and let NC2(G) denote min{[N(u)UN(v)[: dist(u, v )= 2}, where dist(u, v) is the distance between u and v in G. A cycle C in G is called a dominating cycle, if V(G)\V(C) is an independent set in G. In this paper, we prove that if G contains a dominating cycle and ~ ~> 2, then G contains a dominating cycle of length at least min{n,2NC2(G)3}. ~ 1997 Elsevier Science B.V. All rights reserved
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