The edge domination number of connected graphs
نویسنده
چکیده
A subset X of edges in a graph G is called an edge dominating set of G if every edge not in X is adjacent to some edge in X. The edge domination number γ′(G) of G is the minimum cardinality taken over all edge dominating sets of G. Let m,n and k be positive integers with n − 1 ≤ m ≤ (n 2 ) , G(m,n) be the set of all non-isomorphic connected graphs of order n and size m, and G(m,n; k) = {G ∈ G(m,n) : γ′(G) = k}. We are able to determine all integers m,n, k for which G(m,n; k) = ∅.
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 48 شماره
صفحات -
تاریخ انتشار 2010