Constructions of self-complementary circulants with no multiplicative isomorphisms

DOI10.1006/EUJC.2001.0529zbMath0986.05056OpenAlexW1993394072MaRDI QIDQ5952155

Jajcay, Robert, Cai Heng Li

Publication date: 3 June 2002

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

Full work available at URL: https://doi.org/10.1006/eujc.2001.0529

zbMATH Keywords

Cayley graphcirculant graphsself-complementary graphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (15)

Homogeneous factorisations of complete multipartite graphs ⋮ New constructions of self-complementary Cayley graphs ⋮ The core of a vertex-transitive complementary prism ⋮ Almost self-complementary circulant graphs. ⋮ On finite self-complementary metacirculants ⋮ On Self-complementary Circulants of Square Free Order ⋮ Edge-transitive almost self-complementary graphs ⋮ SELF-COMPLEMENTARY VERTEX-TRANSITIVE GRAPHS OF ORDER A PRODUCT OF TWO PRIMES ⋮ Non-Cayley-isomorphic self-complementary circulant graphs ⋮ On self-complementary vertex-transitive graphs ⋮ NEW CONSTRUCTIONS OF SELF-COMPLEMENTARY CAYLEY GRAPHS ⋮ Self-complementary Cayley graphs of extraspecial \(p\)-groups ⋮ Homogeneous factorisations of complete graphs with edge-transitive factors ⋮ Homogeneous factorisations of graphs and digraphs ⋮ On partitioning the orbitals of a transitive permutation group

Cites Work

• On self-complementary strongly regular graphs
• On the full automorphism group of a graph
• Non-Cayley vertex-transitive graphs of order twice the product of two odd primes
• On isomorphisms of connected Cayley graphs
• The existence of selfcomplementary circulant graphs
• Ádám's conjecture is true in the square-free case
• On regular and strongly-regular self-complementary graphs
• Self-complementary symmetric graphs
• On self-complementary vertex-transitive graphs
• Point-symmetric graphs with a prime number of points
• Self-complementary graphs
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