Antipodal resolving sets on algebraic graphs of finite groups

In this research article concept of antipodal resolving sets have been introduced and the concepts have been analysed on some algebraic graphs like identity graphs and order prime graphs of finite groups.Also its dimensions have been found and compared with various antipodal sets like antipodal independent, pendant, cototal, equitable resolving sets.Finally those dimensions comparison have been elucidated as a theorem.

Authors

Publication Details

Journal
Sigma Journal of Engineering and Natural Sciences – Sigma Mühendislik ve Fen Bilimleri Dergisi
Published
2025-01-01
DOI
https://doi.org/10.14744/sigma.2025.00043
Primary Topic
Advanced Topics in Algebra
Type
article
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0.00
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article

Antipodal resolving sets on algebraic graphs of finite groups

K. Aruna Sakthi
Sigma Journal of Engineering and Natural Sciences – Sigma Mühendislik ve Fen Bilimleri Dergisi
Advanced Topics in Algebra
article

Antipodal resolving sets on algebraic graphs of finite groups

K. Aruna Sakthi
article en

Abstract

In this research article concept of antipodal resolving sets have been introduced and the concepts have been analysed on some algebraic graphs like identity graphs and order prime graphs of finite groups.Also its dimensions have been found and compared with various antipodal sets like antipodal independent, pendant, cototal, equitable resolving sets.Finally those dimensions comparison have been elucidated as a theorem.

Sigma Journal of Engineering and Natural Sciences – Sigma Mühendislik ve Fen Bilimleri Dergisi
Openalex Percentile: Top 88%
Advanced Topics in Algebra
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Antipodal resolving sets on algebraic graphs of finite groups — K. Aruna Sakthi · Sigma Journal of Engineering and Natural Sciences – Sigma Mühendislik ve Fen Bilimleri Dergisi (2025) | TGRS Research Map | TGRS