On Automorphism Group of a Family of Symmetric Graphs

2024/02/06 by Sucharita Biswas, Biswas, Sucharita
Computer Science · Mathematics · #05C12 #05E18 #20B25 #Advanced Graph Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Graph theory and applications

paper · pdf · doi:10.48550/arxiv.2402.04037

openalex publication_date 2024/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the automorphism group and geodesic transitivity of a family of vertex-transitive graphs H(n,k), introduced by Fu-Tao Hu et.al. in 2010. In the process, we address some naturally arising, unanswered questions from that paper.

Related

• Automorphism groups of graphs
• Automorphism groups of edge-transitive maps
• A family of symmetric graphs in relation to 2-point-transitive linear spaces
• Classification of vertex-transitive digraphs via automorphism group
• Towards inductive proofs in algebraic combinatorics