Neighbourhoods of transitive graphs and GRR's

DOI10.1016/0095-8956(80)90048-9zbMath0443.05047OpenAlexW2031420493MaRDI QIDQ1144042

Chris D. Godsil

Publication date: 1980

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0095-8956(80)90048-9

zbMATH Keywords

automorphism groupneighborhood graphsimple groupsgraphical regular representationGRR

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Abstract finite groups (20D99) Infinite automorphism groups (20B27)

Related Items (7)

Constructing cospectral graphs ⋮ Transitive Graphs With Fewer Than Twenty Vertices ⋮ Digraph representations of 2-closed permutation groups with a normal regular cyclic subgroup ⋮ Vertex-minimal graphs with dihedral symmetry. I. ⋮ Vertex-minimal planar graphs with cyclic 2-group symmetry ⋮ Vertex-minimal graphs with nonabelian \(\mathbf{2}\)-group symmetry ⋮ Unnamed Item

Cites Work

• Graphical regular representations of alternating, symmetric and miscellaneous small groups
• Equiangular lines, the graph extension theorem, and transfer in triply transitive groups
• On construction and identification of graphs. With contributions by A. Lehman, G. M. Adelson-Velsky, V. Arlazarov, I. Faragev, A. Uskov, I. Zuev, M. Rosenfeld and B. Weisfeiler
• On the action of non-Abelian groups on graphs
• Distributive Quasigruppen endlicher Ordnung
• On a Class of Fixed-Point-Free Graphs
• Endliche Gruppen I
• Totally Variant Sets in Finite Groups and Vector Spaces
• Graphical Regular Representations of Non-Abelian Groups, I
• Graphical Regular Representations of Non-Abelian Groups, II
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Neighbourhoods of transitive graphs and GRR's