Results 11 to 20 of about 1,785 (222)
In this study, transformation graphs obtained from the concept of the total graph and the result of its paired domination number for some special graph families are discussed.
Hande Tunçel Gölpek
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Equitable and Paired Equitable Domination in Inflated Graphs and Their Complements
Domination plays an indispensable role in graph theory. Various types of domination explore various types of applications. Equal-status people work together and interlace with each other easily.
Narayanan Kumaran +4 more
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Neighbourhood total domination in graphs [PDF]
Let \(G = (V,E)\) be a graph without isolated vertices. A dominating set \(S\) of \(G\) is called a neighbourhood total dominating set (ntd-set) if the induced subgraph \(\langle N(S)\rangle\) has no isolated vertices.
S. Arumugam, C. Sivagnanam
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Edge subdivision and edge multisubdivision versus some domination related parameters in generalized corona graphs [PDF]
Given a graph \(G=(V,E)\), the subdivision of an edge \(e=uv\in E(G)\) means the substitution of the edge \(e\) by a vertex \(x\) and the new edges \(ux\) and \(xv\).
Magda Dettlaff +2 more
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Total and paired domination numbers of toroidal meshes [PDF]
Let $G$ be a graph without isolated vertices. The total domination number of $G$ is the minimum number of vertices that can dominate all vertices in $G$, and the paired domination number of $G$ is the minimum number of vertices in a dominating set whose induced subgraph contains a perfect matching.
Hu, Fu-Tao, Xu, Jun-Ming
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Twin Paired Domination number of a graph
Abstract A new domination papramter “Twin paired domination number” is introduced in this paper. The set S ⊆ V
G. Mahadevan, M. Vimala Suganthi
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Covering, matching, and domination are the basic concepts in graphs that play a decisive role in the properties of graphs. Calculating these parameters is one of the difficulties in fuzzy graphs when it is not possible to accurately determine the values ...
Xiaoli Qiang +5 more
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Heritability and growth analysis of Brant`s oak (Quercus brantii Lindl.) based on sapling characteristics [PDF]
Brant`s oak (Quercus brantii Lindl.) is one of the most important tree species of Zagros forests. The major objective of the study was to assess various populations of the species for identification of plus tree individuals and growth trend analysis of ...
Hossein Mirzaie-Nodoushan +5 more
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The Paired Domination Number of Cubic Graphs
Let G be a simple undirected graph with no isolated vertex. A paired dominating set of G is a dominating set which induces a subgraph that has a perfect matching. The paired domination number of G, denoted by pr(G), is the size of its smallest paired dominating set. Goddard and Henning conjectured that pr(G) {\leq} 4n/7 holds for every graph G with
Sheng, Bin, Lu, Changhong
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Upper bounds on the paired-domination number
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Xue-gang +2 more
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