ON 2-MOVABLE DOMINATION IN THE JOIN AND CORONA OF GRAPHS

Let be a connected graph. Then a non-empty is a 2 movable dominating set of if is a dominating set and for every pair is a dominating set in , or there exist such that and are adjacent to and , respectively, and is a dominating set in . The 2-movable domination number of , denoted by , is the minimum cardinality of a 2-movable dominating set of G. A 2-movable dominating set with cardinality equal to is called -set of .

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Publication Details

Journal
Advances and Applications in Discrete Mathematics
Published
2024-11-28
DOI
https://doi.org/10.17654/0974165825007
Primary Topic
Advanced Graph Theory Research
Type
article
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article

ON 2-MOVABLE DOMINATION IN THE JOIN AND CORONA OF GRAPHS

Ariel C. Pedrano, Rolando N. Paluga
Advances and Applications in Discrete Mathematics
Advanced Graph Theory Research
article

ON 2-MOVABLE DOMINATION IN THE JOIN AND CORONA OF GRAPHS

Ariel C. Pedrano, Rolando N. Paluga
article en

Abstract

Let be a connected graph. Then a non-empty is a 2 movable dominating set of if is a dominating set and for every pair is a dominating set in , or there exist such that and are adjacent to and , respectively, and is a dominating set in . The 2-movable domination number of , denoted by , is the minimum cardinality of a 2-movable dominating set of G. A 2-movable dominating set with cardinality equal to is called -set of .

Advances and Applications in Discrete MathematicsVol. 42(2)
Openalex Percentile: Top 74%
Advanced Graph Theory Research
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ON 2-MOVABLE DOMINATION IN THE JOIN AND CORONA OF GRAPHS — Ariel C. Pedrano, Rolando N. Paluga · Advances and Applications in Discrete Mathematics (2024) | TGRS Research Map | TGRS