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New Parameters on Inverse Domination

T G JayasreeRadha Rajamani Iyer

2019SSRN Electronic JournalComputer Science被引 1开放获取

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摘要

A set D of vertices in a graph G(V, E) is a dominating set of G, if every vertex of V not in D is adjacent to at least one vertex in D. A dominating set D of G(V, E)is a k – fair dominating set of G, for 𝑘 ≥ 1 if every vertex in V – D is adjacent to exactly k vertices in D. The k – fair domination number 𝛾𝑘𝑓𝑑(𝐺) of G is the minimum cardinality of a k – fair dominating set. In this article, we define the inverse of the k – fair domination number and try to find it for some class of graphs.

引用本文(GB/T 7714)

T G Jayasree, Radha Rajamani Iyer. New Parameters on Inverse Domination[J]. SSRN Electronic Journal, 2019.

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