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Jin, Wei; Tan, Li
Discrete mathematics, August 2022, 2022-08-00, Letnik: 345, Številka: 8Journal Article
A 2-geodesic of a graph is a vertex triple (u,v,w) with v adjacent to both u and w, u≠w and u,w are not adjacent. A graph is said to be 2-geodesic-transitive if its automorphism group is transitive on both the set of arcs and the set of 2-geodesics. In this paper, we first determine the family of 2-geodesic-transitive graphs which are locally self-complementary, and then classify the family of 2-geodesic-transitive graphs that the local subgraph induced by the neighbor of a vertex is an arc-transitive circulant.
