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

Ariel C. Pedrano, Rolando N. Paluga

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Source: Crossref

Published: Nov 28, 2024

DOI: 10.17654/0974165825007

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Source 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 .

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ON 2-MOVABLE DOMINATION IN THE JOIN AND CORONA OF GRAPHS — Mathematical Frontier Network