TOTAL OFFENSIVE ALLIANCE OF TOTAL GRAPHS GENERATED FROM GRAPHS WITH MAXIMUM DEGREE 2

For a nontrivial connected graph , a nonempty subset is a total offensive alliance in if is an offensive alliance and every vertex in has at least one neighbor within . The minimum cardinality of a total offensive alliance in is called the total offensive alliance number of , denoted by . In this paper, we investigate the total offensive alliance of total graphs generated from graphs with maximum degree 2 and present the characterization of total offensive alliance and their corresponding total offensive alliance number.

Publication Details

Journal
Advances and Applications in Discrete Mathematics
Published
2025-03-11
DOI
https://doi.org/10.17654/0974165825025
Primary Topic
Advanced Graph Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

TOTAL OFFENSIVE ALLIANCE OF TOTAL GRAPHS GENERATED FROM GRAPHS WITH MAXIMUM DEGREE 2

Advances and Applications in Discrete Mathematics
Advanced Graph Theory Research
article

TOTAL OFFENSIVE ALLIANCE OF TOTAL GRAPHS GENERATED FROM GRAPHS WITH MAXIMUM DEGREE 2

article en

Abstract

For a nontrivial connected graph , a nonempty subset is a total offensive alliance in if is an offensive alliance and every vertex in has at least one neighbor within . The minimum cardinality of a total offensive alliance in is called the total offensive alliance number of , denoted by . In this paper, we investigate the total offensive alliance of total graphs generated from graphs with maximum degree 2 and present the characterization of total offensive alliance and their corresponding total offensive alliance number.

Advances and Applications in Discrete MathematicsVol. 42(4)
Openalex Percentile: Top 94%
Advanced Graph Theory Research
DOIOpen Access PDFOpenAlex
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TOTAL OFFENSIVE ALLIANCE OF TOTAL GRAPHS GENERATED FROM GRAPHS WITH MAXIMUM DEGREE 2 · Advances and Applications in Discrete Mathematics (2025) | TGRS Research Map | TGRS