On classifying finite edge colored graphs with two transitive automorphism groups.

DOI10.1016/S0095-8956(03)00079-0zbMath1033.05046MaRDI QIDQ1425112

Thomas Q. Sibley

Publication date: 15 March 2004

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

zbMATH Keywords

association schemesdoubly transitive automorphism groupsdoubly transitive balanced incomplete block designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Association schemes, strongly regular graphs (05E30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coloring of graphs and hypergraphs (05C15)

Related Items (17)

Rank 3 transitive decompositions of complete multipartite graphs ⋮ Symmetric factorizations of the complete uniform hypergraph ⋮ Wreath product in automorphism groups of graphs ⋮ Transitive decompositions of graphs ⋮ Primitive decompositions of Johnson graphs ⋮ On 2-factorizations whose automorphism group acts doubly transitively on the factors ⋮ On finite edge-primitive and edge-quasiprimitive graphs ⋮ Cyclic Hamiltonian cycle systems of the \(\lambda \)-fold complete and cocktail party graphs ⋮ Transitive decompositions of graph products: rank 3 grid type ⋮ Examples of rank 3 product action transitive decompositions ⋮ Homogeneous factorisations of complete graphs with edge-transitive factors ⋮ Graphical representations of cyclic permutation groups ⋮ Totally symmetric colored graphs ⋮ On transitive decompositions of disconnected graphs ⋮ On edge-primitive graphs of order twice a prime power ⋮ On sharply vertex transitive 2-factorizations of the complete graph ⋮ On 2-factorizations with some symmetry

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• On a class of doubly transitive groups

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