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On the Paired-Domination Subdivision Number of Trees [PDF]

open access: yesMathematics, 2021
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
doaj   +2 more sources

A Note on the Paired-Domination Subdivision Number of Trees [PDF]

open access: yesMathematics, 2021
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
doaj   +2 more sources

On the Paired-Domination Subdivision Number of a Graph [PDF]

open access: yesMathematics, 2021
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
doaj   +2 more sources

Edge subdivision and edge multisubdivision versus some domination related parameters in generalized corona graphs [PDF]

open access: yesOpuscula Mathematica, 2016
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
doaj   +1 more source

Block Graphs with Large Paired Domination Multisubdivision Number

open access: yesDiscussiones Mathematicae Graph Theory, 2021
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
doaj   +1 more source

Skin Microbiome in Prurigo Nodularis. [PDF]

open access: yesInt J Mol Sci, 2023
Tutka K   +7 more
europepmc   +1 more source

Apple Root Microbiome as Indicator of Plant Adaptation to Apple Replant Diseased Soils. [PDF]

open access: yesMicroorganisms, 2023
Ajeethan N   +4 more
europepmc   +1 more source

Prospective Tracking of Donor-Reactive T-Cell Clones in the Circulation and Rejecting Human Kidney Allografts. [PDF]

open access: yesFront Immunol, 2021
Aschauer C   +19 more
europepmc   +1 more source

Food provisioning to Pardosa spiders decreases the levels of tissue-resident endosymbiotic bacteria. [PDF]

open access: yesSci Rep, 2023
Řezáč M   +4 more
europepmc   +1 more source

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