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Upper Bounds for the Paired-Domination Numbers of Graphs
Graphs and Combinatorics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Changhong Lu, Chao Wang, Kan Wang
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2-Distance paired-dominating number of graphs
Journal of Combinatorial Optimization, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kan Yu, Mei Lu
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Total and paired domination numbers of windmill graphs
Asian-European Journal of Mathematics, 2023Let [Formula: see text] be a graph without isolated vertices. A total dominating set of [Formula: see text] is a set [Formula: see text] of vertices of [Formula: see text] such that every vertex of [Formula: see text] is adjacent to at least one vertex in [Formula: see text].
Pannawat Eakawinrujee +1 more
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Graphs with large paired-domination number
Journal of Combinatorial Optimization, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Total Domination Edge Critical Graphs with Total Domination Number Three and Many Dominating Pairs
Graphs and Combinatorics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Camino Balbuena +3 more
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Paired-domination number of claw-free odd-regular graphs
Journal of Combinatorial Optimization, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei Yang, Xinhui An, Baoyindureng Wu
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A Characterization of Cubic Graphs with Paired-Domination Number Three-Fifths Their Order
Graphs and Combinatorics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wayne Goddard, Michael A. Henning
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Paired domination subdivision and multisubdivision numbers of graphs
Journal of Combinatorial Mathematics and Combinatorial Computing, 2020Summary: The paired domination subdivision number \(sd_{pr}(G)\) of a graph \(G\) is the minimum number of edges that must be subdivided (where an edge can be subdivided at most once) in order to increase the paired domination number of \(G\). We prove that the decision problem of the paired domination subdivision number is NP-complete even for ...
Joanna Raczek, Magda Dettlaff
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A characterization of trees with equal total domination and paired-domination numbers
Australas. J Comb., 2004Let \(G=(V,E)\) be a graph without isolated vertices. A set \(S\subseteq V\) is a total dominating set if every vertex of \(V\) is adjacent to at least one vertex in \(S\). A total dominating set \(S\subseteq V\) is a paired-dominating set if the induced subgraph \(G[S]\) has at least one perfect matching. The paired-domination number \(\gamma_{pr}(G)\)
Erfang Shan +2 more
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Trees with paired-domination number twice their domination number
2007Udgivelsesdato ...
Henning, Michael A +1 more
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