DOMINATION INTEGRITY OF SOME NEW GRAPHS

The domination integrity DI(G) of a simple connected graph G is defined as DI(G) = min{| X | +m(G−X) : X is a dominating set } where m(G−X) is the order of a maximum connected component of G − X. It is a measure of vulnerability of a graph. This work is aimed to discuss domination integrity of middle graph of crown graph, middle graph of tadpole graph, middle graph of friendship graph, christmas Star Graph and kusudama flower graph.

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Publication Details

Journal
jnanabha
Published
2025-01-01
DOI
https://doi.org/10.58250/jnanabha.2025.55126
Primary Topic
Graph Labeling and Dimension Problems
Type
article
Field-Weighted Citation Impact
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article

DOMINATION INTEGRITY OF SOME NEW GRAPHS

Nishal Shah, N. J. Kothari
jnanabha
Graph Labeling and Dimension Problems
article

DOMINATION INTEGRITY OF SOME NEW GRAPHS

Nishal Shah, N. J. Kothari
article en

Abstract

The domination integrity DI(G) of a simple connected graph G is defined as DI(G) = min{| X | +m(G−X) : X is a dominating set } where m(G−X) is the order of a maximum connected component of G − X. It is a measure of vulnerability of a graph. This work is aimed to discuss domination integrity of middle graph of crown graph, middle graph of tadpole graph, middle graph of friendship graph, christmas Star Graph and kusudama flower graph.

jnanabhaVol. 55(01)
Openalex Percentile: Top 79%
Graph Labeling and Dimension Problems
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DOMINATION INTEGRITY OF SOME NEW GRAPHS — Nishal Shah, N. J. Kothari · jnanabha (2025) | TGRS Research Map | TGRS