Locally bi-2-transitive graphs and cycle-regular graphs, and the answer to a 2001 problem posed by Fouquet and Hahn

DOI10.1016/j.jctb.2022.09.005OpenAlexW4301374000MaRDI QIDQ2101170

Jin-Xin Zhou, Marston D. E. Conder

Publication date: 28 November 2022

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

Full work available at URL: https://doi.org/10.1016/j.jctb.2022.09.005

zbMATH Keywords

cycle-regularedge-girth-regularlocally bi-2-transitive

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Paths and cycles (05C38) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group actions on combinatorial structures (05E18)

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Constructing half-arc-transitive graphs of valency four with prescribed vertex stabilizers
• On symmetric and locally finite actions of groups on the quintic tree
• Smallest tetravalent half-arc-transitive graphs with the vertex-stabiliser isomorphic to the dihedral group of order 8
• Elementary abelian covers of graphs
• A classification of tightly attached half-arc-transitive graphs of valency 4
• A list of 4-valent 2-arc-transitive graphs and finite faithful amalgams of index (4, 2)
• The Magma algebra system. I: The user language
• Linear criteria for lifting automorphisms of elementary abelian regular coverings
• Lifting graph automorphisms by voltage assignments
• Edge-girth-regular graphs
• Cubic vertex-transitive graphs on up to 1280 vertices
• Bounding the order of the vertex-stabiliser in 3-valent vertex-transitive and 4-valent arc-transitive graphs
• Edge-transitive graphs of small order and the answer to a 1967 question by Folkman
• Symmetry properties of generalized graph truncations
• A census of semisymmetric cubic graphs on up to 768 vertices
• Tetravalent half-arc-transitive \(p\)-graphs
• On edge but not vertex transitive regular graphs
• Two local conditions on the vertex stabiliser of arc-transitive graphs and their effect on the Sylow subgroups
• Tetravalent half-edge-transitive graphs and non-normal Cayley graphs
• Some Historical and Intuitive Aspects of Graph Theory
• On the Symmetry of Cubic Graphs
• Homological Coverings of Graphs
• The Affine Permutation Groups of Rank Three
• Finite Permutation Groups and Finite Simple Groups
• THOMPSON–WIELANDT-LIKE THEOREMS REVISITED
• Lifting a prescribed group of automorphisms of graphs
• Regular line-symmetric graphs
• ARC TRANSITIVITY IN GRAPHS
• Cycle regular graphs need not be transitive
• Half-arc-transitive graphs of arbitrary even valency greater than 2

This page was built for publication: Locally bi-2-transitive graphs and cycle-regular graphs, and the answer to a 2001 problem posed by Fouquet and Hahn