On finite self-complementary metacirculants

DOI10.1007/S10801-014-0522-9zbMath1304.05071OpenAlexW2030222437MaRDI QIDQ484171

Shu Jiao Song, Guang Rao, Cai Heng Li

Publication date: 18 December 2014

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-014-0522-9

zbMATH Keywords

metacirculantsvertex-transitiveself-complementary

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General theory for finite permutation groups (20B05) Characterization theorems for permutation groups (20B10)

Related Items (7)

SELF-COMPLEMENTARY VERTEX-TRANSITIVE GRAPHS ⋮ New constructions of self-complementary Cayley graphs ⋮ The core of a vertex-transitive complementary prism ⋮ NEW CONSTRUCTIONS OF SELF-COMPLEMENTARY CAYLEY GRAPHS ⋮ Tetravalent edge-transitive Cayley graphs of Frobenius groups ⋮ AUTOMORPHISM GROUPS OF SELF-COMPLEMENTARY VERTEX-TRANSITIVE GRAPHS ⋮ Self-complementary Cayley graphs of extraspecial \(p\)-groups

Uses Software

• GAP

Cites Work

• On finite permutation groups with a transitive cyclic subgroup.
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• Common circulant homogeneous factorisations of the complete digraph
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• A characterization of metacirculants
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• Sylow subgraphs in self-complementary vertex transitive graphs
• Ramsey's theorem and self-complementary graphs
• A class of self-complementary graphs and lower bounds of some ramsey numbers
• A Construction for Vertex-Transitive Graphs
• On Sylow Subgraphs of Vertex-Transitive Self-Complementary Graphs
• Non-Cayley-isomorphic self-complementary circulant graphs
• New lower bounds of some diagonal Ramsey numbers
• On partitioning the orbitals of a transitive permutation group
• On orbital partitions and exceptionality of primitive permutation groups
• Self-Complementary Circulants of Prime-Power Order
• SELF-COMPLEMENTARY VERTEX-TRANSITIVE GRAPHS OF ORDER A PRODUCT OF TWO PRIMES
• Self-complementary graphs
• Constructions of self-complementary circulants with no multiplicative isomorphisms
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