The minus k-domination numbers in graphs
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Abstract:
For any integer , a minus k-dominating function is afunction f : V (G) {-1,0, 1} satisfying w) for every vertex v, where N(v) ={u V(G) | uv E(G)} and N[v] =N(v)cup {v}. The minimum of the values of v), taken over all minusk-dominating functions f, is called the minus k-dominationnumber and is denoted by $gamma_k^-(G)$ . In this paper, we introduce the study of minus k-domination in graphs and we present several sharp lower bounds on the minus k-domination number for general graphs.
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Journal title
volume 1 issue 1
pages 15- 28
publication date 2016-06-01
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