Line k-Domination in Graphs

In this paper, we present a novel concept “Line k-Domination in Graphs”. The line k-domination number is the minimum cardinality among all -dominating set of line graph derived from the graph . Throughout this investigation, we obtain various bounds on by considering different parameters of the graph G such as vertices, edges, and other different domination parameters.

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Publication Details

Journal
Advances in Nonlinear Variational Inequalities
Published
2025-03-04
DOI
https://doi.org/10.52783/anvi.v28.4194
Primary Topic
Advanced Graph Theory Research
Type
article
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article

Line k-Domination in Graphs

Dayanand K. Vyavahare
Advances in Nonlinear Variational Inequalities
Advanced Graph Theory Research
article

Line k-Domination in Graphs

Dayanand K. Vyavahare
article en

Abstract

In this paper, we present a novel concept “Line k-Domination in Graphs”. The line k-domination number is the minimum cardinality among all -dominating set of line graph derived from the graph . Throughout this investigation, we obtain various bounds on by considering different parameters of the graph G such as vertices, edges, and other different domination parameters.

Advances in Nonlinear Variational InequalitiesVol. 28(6s)
Openalex Percentile: Top 93%
Advanced Graph Theory Research
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Line k-Domination in Graphs — Dayanand K. Vyavahare · Advances in Nonlinear Variational Inequalities (2025) | TGRS Research Map | TGRS