Hamilton-Connectivity of 3-Domination Critical Graphs
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چکیده
A graph G is 3-domination critical if its domination number γ is 3 and the addition of any edge decreases γ by 1. Let G be a 3-domination critical graph with toughness more than one. It was proved G is Hamiltonconnected for the cases α ≤ δ (Discrete Mathematics 271 (2003) 1-12) and α = δ + 2 (European Journal of Combinatorics 23(2002) 777-784). In this paper, we show G is Hamilton-connected for the case α = δ + 1 ≥ 5.
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تاریخ انتشار 2007