On the domination number of Hamiltonian graphs with minimum degree six
نویسندگان
چکیده
Let G = (V,E) be a simple graph. A set D ⊆ V is a dominating set of G if every vertex of V − D is adjacent to a vertex of D. The domination number of G, denoted by γ(G), is the minimum cardinality of a dominating set of G. We prove that if G is a Hamiltonian graph of order n with minimum degree at least six, then γ(G) ≤ 6n 17 .
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عنوان ژورنال:
- Appl. Math. Lett.
دوره 21 شماره
صفحات -
تاریخ انتشار 2008