Partial difference triples

DOI10.1023/A:1022475918250zbMath0788.05094MaRDI QIDQ1310602

Ka Hin Leung, Siu Lun Ma

Publication date: 30 May 1994

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

zbMATH Keywords

automorphism groupstrongly regular graphdifference setcyclic groupsemi-Cayley graphpartial difference triple

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (25)

A survey of partial difference sets ⋮ Eigenvalues of Cayley graphs ⋮ Cubic non-Cayley vertex-transitive bi-Cayley graphs over a regular \(p\)-group ⋮ Symmetry structure of bicirculants ⋮ Trivalent vertex-transitive bi-dihedrants ⋮ On strongly regular bicirculants ⋮ New tools for the construction of directed strongly regular graphs: difference digraphs and partial sum families ⋮ Normalized Laplacian polynomial of n-Cayley graphs ⋮ Two-arc-transitive bicirculants ⋮ The automorphisms of bi-Cayley graphs ⋮ Arc‐transitive bicirculants ⋮ On the Laplacian and signless Laplacian polynomials of graphs with semiregular automorphisms ⋮ Edge connectivity in difference graphs and some new constructions of partial sum families ⋮ Edge-transitive bi-Cayley graphs ⋮ On difference sets in high exponent 2-groups ⋮ Partial sum quadruples and bi-abelian digraphs ⋮ Cubic bi-Cayley graphs over abelian groups ⋮ Two kinds of constructions of directed strongly regular graphs ⋮ On tetravalent vertex-transitive bi-circulants ⋮ Primitive bicirculant association schemes and a generalization of Wielandt’s theorem ⋮ Semiregular relative difference sets in 2-groups containing a cyclic subgroup of index 2 ⋮ One-matching bi-Cayley graphs over Abelian groups ⋮ Normality of one-matching semi-Cayley graphs over finite abelian groups with maximum degree 3 ⋮ Strongly regular tri-Cayley graphs ⋮ A construction of difference sets in high exponent 2-groups using representation theory

Cites Work

• Partial difference sets
• Rational G-matrices with rational eigenvalues
• On multipliers of partial addition sets
• On the existence of periodic complementary binary sequences
• Strongly regular semi-Cayley graphs
• Character sums and difference sets
• Endliche Gruppen I
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