Edge-Domsaturation Number of a Graph: A Mathematical Approach

Nidha, Devadhas and Kala, Murugan (2023) Edge-Domsaturation Number of a Graph: A Mathematical Approach. In: Research Highlights in Mathematics and Computer Science Vol. 6. B P International, pp. 51-63. ISBN 978-81-19102-02-0

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Abstract

The edge-domsaturation number ds' (G) of a graph G=(V,E) is the least positive integer k such that every edge of G lies in an edge dominating set of cardinality k. In this paper, we characterize unicyclic graphs G with ds' (G)=q- ' (G) and investigate well-edge dominated graphs. We further define '-critical, '+-critical, ds'-critical, ds'-critical edges and study some of their properties.

Item Type: Book Section
Subjects: Open Research Librarians > Mathematical Science
Depositing User: Unnamed user with email support@open.researchlibrarians.com
Date Deposited: 02 Oct 2023 05:46
Last Modified: 02 Oct 2023 05:46
URI: http://stm.e4journal.com/id/eprint/1588

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