Certain distance-regular digraphs and related rings of characteristic 4

DOI10.1016/0097-3165(88)90045-3zbMath0641.05022OpenAlexW2087582295MaRDI QIDQ1100478

Robert A. Liebler, Roberto A. Mena

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0097-3165(88)90045-3

zbMATH Keywords

girthAutomorphism groupsdistance regular digraphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20)

Related Items (23)

Difference sets over the Galois ring \(\text{GR}(2^n,2)\) ⋮ Distance-regular digraphs of girth 4 over an extension ring of Z/4Z ⋮ Three-class association schemes on Galois rings in characteristic 4 ⋮ Feasibility conditions for non-symmetric 3-class association schemes ⋮ Minimum cuts of distance-regular digraphs ⋮ Normally regular digraphs ⋮ \(P\)-polynomial weakly distance-regular digraphs ⋮ Four-class skew-symmetric association schemes ⋮ Weakly distance-regular digraphs. ⋮ Non-symmetric, metric, cometric association schemes are self-dual ⋮ On nonsymmetric \(P\)- and \(Q\)-polynomial association schemes ⋮ Association schemes related to Delsarte-Goethals codes ⋮ Amorphous association schemes over the Galois rings of characteristic 4 ⋮ A spectral excess theorem for normal digraphs ⋮ On the \(G\)-matrices with entries and eigenvalues in \(Q(i)\) ⋮ New pseudo-planar binomials in characteristic two and related schemes ⋮ Complex spherical codes with three inner products ⋮ Nonsymmetric primitive translation schemes of prime power order ⋮ The non-existence of certain skew-symmetric amorphous association schemes ⋮ Schur rings and non-symmetric association schemes on 64 vertices ⋮ Directed distance regular graphs with the Q-polynomial property ⋮ An upper bound for the extended Kloosterman sums over Galois rings ⋮ Cyclotomic schemes over finite, commutative, admissible rings

Cites Work

• Unnamed Item
• On the rational spectra of graphs with Abelian Singer groups
• Distance-regular digraphs of girth 4
• Linear groups containing a Singer cycle
• Distance transitive digraphs
• Distance-transitive and distance-regular digraphs
• Nonexistence of certain distance-transitive digraphs
• In search of nonsolvable groups of central type
• Finite Permutation Groups and Finite Simple Groups

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