Antipodal resolving sets on algebraic graphs of finite groups
1A. P. C. Mahalaxmi College for Women, Thoothukudi, Manonmaniam Sundaranar University, Abhishekapatti, TamilNadu, 627012, India
2PG and Research Department of Mathematics, A. P. C. Mahalaxmi College for Women, TamilNadu, 628002, TamilNadu, India
2PG and Research Department of Mathematics, A. P. C. Mahalaxmi College for Women, TamilNadu, 628002, TamilNadu, India
Sigma J Eng Nat Sci 2025; 43(2): 555-561 DOI: 10.14744/sigma.2025.00043
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.
Keywords: Antipodal Resolving Set; Co-Equitable Resolving Set; Identity Graphs; Independent Resolving Sets; Neighborhood Resolving Set
