Name: Vertex and Edge Transitive, but not 1-Transitive, Graphs
Creator: I. Z. Bouwer
Keywords: Connectivity, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences

Vertex and edge transitive, but not 1-transitive, graphs

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1970 English Publisher:Canadian Mathematical SocietyJournal:Canadian Mathematical Bulletin, volume 13, pages 231-237 (issn: 0008-4395, eissn: 1496-4287,

Authors: I. Z. Bouwer;

doi: 10.4153/cmb-1970-047-8

Vertex and Edge Transitive, but not 1-Transitive, Graphs

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Abstract

A (simple, undirected) graphGisvertex transitiveif for any two vertices ofGthere is an automorphism ofGthat maps one to the other. Similarly,Gisedge transitiveif for any two edges [a,b] and [c,d] ofGthere is an automorphism ofGsuch that {c,d} = {f(a),f(b)}. A 1-pathofGis an ordered pair (a,b) of (distinct) verticesaandbofG, such thataandbare joined by an edge.Gis 1-transitiveif for any two 1-paths (a,b) and (c,d) ofGthere is an automorphismfofGsuch thatc=f(a) andd=f(b). A graph isregular of valency dif each of its vertices is incident with exactlydof its edges.

Related Organizations

University of New Brunswick
Canada

Keywords

Connectivity

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