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2-Edge connected dominating sets and 2-Connected dominating sets of a graph
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OUTER-CONNECTED 2-DOMINATING SETS OF GRAPHS
Advances and Applications in Discrete Mathematics, 2019Summary: Let \(G=(V(G), E(G))\) be a simple graph. A subset \(S\) of \(V(G)\) is an outer-connected 2-dominating set of \(G\) if \(S\) is a 2-dominating set of \(G\) and the graph \(\langle V(G)\backslash S\rangle\) is connected. The outer-connected 2-domination number of \(G\), denoted by \(\gamma^c_2(G)\), is the smallest cardinality of an outer ...
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