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WoS  JIF 2026 : 0.4 (Q4)

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Open Access Research Article

Independent domination bondage number in graphs

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pp. 1–12Online FirstDecember 2025DOI: 10.47974/JIOS-2041XML
Received:
05 Feb 2025
Published Online:
11 Dec 2025
Article type:
Research Article
Language:
EN
Article no.:
JIOS-2041
Pages:
1–12

Abstract

We study the independent domination bondage number in simple graphs. An independent dominating set S of a graph G is characterized by two conditions: its vertices are not adjacent to each other, and all vertices outside S are adjacent to at least one vertex within S. The independent domination number, γi (G), represents the smallest possible size of such a set. Our focus is on the independent domination bondage number, which quantifies the minimum edge removals needed to alter γi (G). This research establishes several bounds for this parameter and computes its value for specific graph operations involving two graphs. 

Keywords

Subject Classifications

05C0505C69

References

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