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2-Edge connected dominating sets and 2-Connected dominating sets of a graph
Journal of Combinatorial Optimization, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Hengzhe +2 more
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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 ...
Canoy, Sergio R. jun. +1 more
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CONNECTED dr-POWER DOMINATING SETS IN GRAPHS
Advances and Applications in Discrete Mathematics, 2018Summary: Let \(G\) be a simple graph. A set \(P\subseteq V(G)\) is called a connected \(dr\)-power dominating set of \(G\) if it is a \(dr\)-power dominating set and the induced subgraph of \(P\), denoted by \(\langle P\rangle\), is connected. The minimum cardinality of a connected \(dr\)-power dominating set \(P\) of a graph \(G\), denoted by \(\gamma^
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Connected dominating sets and connected domination polynomials of square of centipedes
Journal of Information and Optimization Sciences, 2016AbstractLet G be a simple connected graph. The connected domination polynomial of G is defined by , where γd(G) is the connected domination number of G. In this paper, we find the connected dominating sets of and a recursive formula is obtained. Also, we construct the connected domination polynomial of and some interesting properties between the ...
A. Vijayan, M. Felix Nes Mabel
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