The sub-$k$-domination number of a graph with applications to $k$-domination
نویسندگان
چکیده
In this paper we introduce and study a new graph invariant derived from the degree sequence of a graph G, called the sub-k-domination number and denoted subk(G). We show that subk(G) is a computationally efficient sharp lower bound on the k-domination number of G, and improves on several known lower bounds. We also characterize the sub-k-domination numbers of several families of graphs, provide structural results on sub-k-domination, and explore properties of graphs which are subk(G)-critical with respect to addition and deletion of vertices and edges.
منابع مشابه
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ورودعنوان ژورنال:
- CoRR
دوره abs/1611.02379 شماره
صفحات -
تاریخ انتشار 2016