s-Arc-regular prime-valent Cayley graphs of square-free order

DOI10.1142/S0219498819500920zbMath1481.05073OpenAlexW2805779791WikidataQ129712756 ScholiaQ129712756MaRDI QIDQ5383871

Jiangmin Pan, Menglin Ding, Bo Ling

Publication date: 20 June 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498819500920

zbMATH Keywords

simple group\(s\)-arc-regular graphquasiprimitive group

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Symmetric groups (20B30) Primitive groups (20B15)

Related Items (1)

On symmetric graphs of order four times an odd square-free integer and valency seven

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A characterization of a family of edge-transitive metacirculant graphs
• On edge-transitive graphs of square-free order
• Arc-transitive regular cyclic covers of the complete bipartite graph \(\mathsf{K}_{p,p}\)
• Arc-transitive pentavalent graphs of square-free order
• Arc-transitive cyclic covers of graphs with order twice a prime
• One-regular graphs of square-free order of prime valency
• Tetravalent one-regular graphs of order \(2pq\)
• Symmetrical path-cycle covers of a graph and polygonal graphs
• Möbius regular maps
• Regular groups of automorphisms of cubic graphs
• Maps and half-transitive graphs of valency 4
• Recent developments in half-transitive graphs
• On \(2\)-arc-transitive covers of complete graphs
• On 1-arc-regular graphs
• Locally primitive Cayley graphs of dihedral groups
• Finite 2-arc-transitive abelian Cayley graphs
• The trivalent symmetric graphs of girth at most six
• ON ARC-REGULAR FROBENIUS METACIRCULANTS
• An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
• Finite Permutation Groups and Finite Simple Groups
• An application of p-factorization methods to symmetric graphs
• Algebraic Graph Theory
• One-regular cubic graphs of order a small number times a prime or a prime square
• Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups
• A One-Regular Graph of Degree Three
• A family of one-regular graphs of valency 4

This page was built for publication: s-Arc-regular prime-valent Cayley graphs of square-free order