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Paired-domination game played on cycles
Discrete Applied Mathematics, 2023This text further develops the graph domination game introduced in [\textit{B. Brešar} et al. SIAM J. Discrete Math. 24, No. 3, 979--991 (2010; Zbl 1223.05189)]. The version of the game studied involves two players, the Dominator and the Staller, who take turns choosing pairs of adjacent, unchosen vertices that dominate at least one vertex not ...
Michael A Henning
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The Outer-Paired Domination of Graphs
International Journal of Foundations of Computer Science, 2022In this paper, we introduce a new variant of domination called the outer-paired domination. For a graph [Formula: see text], an outer-paired dominating set [Formula: see text] is a dominating set of [Formula: see text] such that the induced subgraph of ...
Chih-Yuan Lin +4 more
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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.
A. Antony, V. Sangeetha
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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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Total and Paired Domination Numbers of Cylinders
Bulletin of the Malaysian Mathematical Sciences Society, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pannawat Eakawinrujee
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Paired-Domination Subdivision Numbers of Graphs
Graphs and Combinatorics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
O Favaron +2 more
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Paired Domination Vertex Critical Graphs
Graphs and Combinatorics, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xinmin Hou
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A proof of a conjecture on the paired-domination subdivision number
Graphs and Combinatorics, 2022Zehui Shao +2 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.
Michael A Henning
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