On graphs with equal domination and 2-domination numbers
نویسندگان
چکیده
Theorem 3. (Hansberg, Volkmann [4], 2007) Let G be a cactus graph. Then γ2(G) = γ(G) if and only if G is a C4-cactus. Let H be the family of graphs such that G ∈ H if and only if either G arises from a cartesian product Kp ×Kp of two complete graphs of order p for an integer p ≥ 3 by inflating every vertex but the ones on a transversal to a clique of arbitrary order, or G is a claw-free graph with ∆(G) = n(G)−2 containing two non-adjacent vertices of maximum degree.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 308 شماره
صفحات -
تاریخ انتشار 2008