The diameter of domination k-critical graphs
نویسندگان
چکیده
A graph is k-domination-critical if γ(G)=k, and for any edge e not in G, γ(G+e) = k-1. In this paper we show that the diameter of a domination k-critical graph with k≥2 is at most 2k-2. We also show that for every k≥2, there is a k-domination-critical graph having diameter 3 2 k 1 − . We also show that the diameter of a 4-domination-critical graph is at most 5.
منابع مشابه
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ورودعنوان ژورنال:
- Journal of Graph Theory
دوره 18 شماره
صفحات -
تاریخ انتشار 1994