On the Paired-Domination Subdivision Number of Trees [PDF]
A paired-dominating set of a graph G without isolated vertices is a dominating set of vertices whose induced subgraph has perfect matching. The minimum cardinality of a paired-dominating set of G is called the paired-domination number γpr(G) of G.
Shouliu Wei +4 more
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A Note on the Paired-Domination Subdivision Number of Trees [PDF]
For a graph G with no isolated vertex, let γpr(G) and sdγpr(G) denote the paired-domination and paired-domination subdivision numbers, respectively. In this note, we show that if T is a tree of order n≥4 different from a healthy spider (subdivided star),
Xiaoli Qiang +5 more
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On the Paired-Domination Subdivision Number of a Graph [PDF]
In order to increase the paired-domination number of a graph G, the minimum number of edges that must be subdivided (where each edge in G can be subdivided no more than once) is called the paired-domination subdivision number sdγpr(G) of G.
Guoliang Hao +4 more
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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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Block Graphs with Large Paired Domination Multisubdivision Number
The paired domination multisubdivision number of a nonempty graph G, denoted by msdpr(G), is the smallest positive integer k such that there exists an edge which must be subdivided k times to increase the paired domination number of G.
Mynhardt Christina M., Raczek Joanna
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Skin Microbiome in Prurigo Nodularis. [PDF]
Tutka K +7 more
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Apple Root Microbiome as Indicator of Plant Adaptation to Apple Replant Diseased Soils. [PDF]
Ajeethan N +4 more
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Transcriptionally active nasopharyngeal commensals and opportunistic microbial dynamics define mild symptoms in the COVID 19 vaccination breakthroughs. [PDF]
Devi P +6 more
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Prospective Tracking of Donor-Reactive T-Cell Clones in the Circulation and Rejecting Human Kidney Allografts. [PDF]
Aschauer C +19 more
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Food provisioning to Pardosa spiders decreases the levels of tissue-resident endosymbiotic bacteria. [PDF]
Řezáč M +4 more
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