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Characterizations of trees with equal paired and double domination numbers [PDF]
A paired-dominating set of a graph G is a dominating set of vertices whose induced subgraph has a perfect matching, and a double dominating set is a dominating set that dominates every vertex of G at least twice.
Mustapha Chellali, Teresa Haynes
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Journal of Global Optimization, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hong Qiao +3 more
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Hong Qiao +3 more
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Outer-paired domination in graphs
Discrete Mathematics, Algorithms and Applications, 2020Let [Formula: see text] be a simple graph with vertex set [Formula: see text] and edge set [Formula: see text]. An outer-paired dominating set [Formula: see text] of a graph [Formula: see text] is a dominating set such that the subgraph induced by [Formula: see text] has a perfect matching.
Akram Mahmoodi, Leila Asgharsharghi
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Journal of Combinatorial Optimization, 2008
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Shannon L. Fitzpatrick, Bert L. Hartnell
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Shannon L. Fitzpatrick, Bert L. Hartnell
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Paired-Domination in Claw-Free Graphs
Graphs and Combinatorics, 2012A paired-dominating set of a graph \(G\) is a dominating set \(S\) of vertices such that there exists a perfect matching in the subgraph induced by \(S\). The paired-domination number, denoted by \(\gamma_{pr}(G)\), is the minimum cardinality of a paired-dominating set in \(G\).
Shenwei Huang, Liying Kang, Erfang Shan
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Paired Domination Vertex Critical Graphs
Graphs and Combinatorics, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xinmin Hou, Michelle Edwards
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Paired Domination Integrity of Graphs
International Journal of Foundations of Computer ScienceThe concept of vulnerability in a communication network plays an important role when there is a disruption in the network. There exist several graph parameters that measure the vulnerability of a communication network. Domination integrity is one of the vulnerability parameters that measure the performance of a communication network. In this paper, we
Annie Clare Antony, V. Sangeetha
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Total and Paired Domination Numbers of Cylinders
Bulletin of the Malaysian Mathematical Sciences Society, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Paired-Domination in P 5-Free Graphs
Graphs and Combinatorics, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gravier, Sylvain, Dorbec, Paul
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Paired-domination in binary trees
Discrete Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aaron D. Gray, Michael A. Henning
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