ON DOMINATION IN COARSE DEG-CENTRIC GRAPHS.

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Bibliographic Details
Title: ON DOMINATION IN COARSE DEG-CENTRIC GRAPHS.
Authors: Thalavayalil, Timmy Tomy1 timmy@kristujayanti.com, Joyson, Ann Mary1 annmary@kristujayanti.com, Gopalakrishnan, Mini1 mini.g@kristujayanti.com
Source: Advances & Applications in Discrete Mathematics. Apr2026, Vol. 43 Issue 3, p321-336. 16p.
Subjects: Dominating set, Graph theory
Abstract: The coarse deg-centric graph of a graph G, denoted by, Gcd is the graph with V(Gcd) = V(G) and E(Gcd) = [νiνj : dG(νiνj) > degG(νi)}. This transformation of the graph is called coarse deg-centrication of the graph. In this paper, we study the domination and domination number of coarse deg-centric graphs. Furthermore, we explore their fundamental properties and structural characteristics, offering insights into their behavior under various graph operations. [ABSTRACT FROM AUTHOR]
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Abstract:The coarse deg-centric graph of a graph G, denoted by, Gcd is the graph with V(Gcd) = V(G) and E(Gcd) = [νiνj : dG(νiνj) > degG(νi)}. This transformation of the graph is called coarse deg-centrication of the graph. In this paper, we study the domination and domination number of coarse deg-centric graphs. Furthermore, we explore their fundamental properties and structural characteristics, offering insights into their behavior under various graph operations. [ABSTRACT FROM AUTHOR]
ISSN:09741658
DOI:10.17654/0974165826021