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Minimum dominating cycles in 2-trees

✍ Scribed by Andrzej Proskurowski


Publisher
Springer
Year
1979
Tongue
English
Weight
610 KB
Volume
8
Category
Article
ISSN
1573-7640

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A cycle in a graph is dominating if every vertex lies at distance at most one from the cycle and a cycle is D-cycle if every edge is incident with a vertex of the cycle. In this paper, first we provide recursive formulae for finding a shortest dominating cycle in a Hahn graph; minor modifications ca

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Let G be a connected graph of order n, and let NC2(G) denote min{ [N(u) UN(v)[: 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}.