2020
DOI: 10.1007/978-3-030-51117-3_3
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Paired Domination in Graphs

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Cited by 14 publications
(9 citation statements)
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“…We close this section by mentioning that the paired-domination number of a path P n of order n ≥ 2 is 2 n 4 (see [8]).…”
Section: Proposition 2 ([18]mentioning
confidence: 99%
See 1 more Smart Citation
“…We close this section by mentioning that the paired-domination number of a path P n of order n ≥ 2 is 2 n 4 (see [8]).…”
Section: Proposition 2 ([18]mentioning
confidence: 99%
“…Paired-domination was introduced by Haynes and Slater [1] and is studied, for example, in [2][3][4][5][6][7]. For more details on paired-domination, we refer the reader to the recent book chapter [8].…”
Section: Introductionmentioning
confidence: 99%
“…With respect to the matching M , two vertices joined by an edge of M are paired and are called partners in S. The paired domination number, γ pr (G), of G is the minimum cardinality of a PD-set of G. We call a PD-set of G of cardinality γ pr (G) a γ pr -set of G. We note that the paired domination number γ pr (G) is an even integer. For a recent survey on paired domination in graphs, we refer the reader to the book chapter [8].…”
Section: Introductionmentioning
confidence: 99%
“…Extended forms of domination in graphs have been vast in the domain literature. Some very recent forms include broadcast domination [18], pitchfork domination [19], Roman domination [20], double Roman domination [21], triple Roman domination [22], captive domination [23], outer-convex domination [24], and paired domination [25], among others. The trajectory of these topics has been exponential in the last decade.…”
Section: Introductionmentioning
confidence: 99%