Association schemes of small order

DOI10.1016/S0378-3758(98)00064-0zbMath0935.05098OpenAlexW1979481247MaRDI QIDQ1299091

Kyoungah See, Sung-Yell Song

Publication date: 4 May 2000

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(98)00064-0

zbMATH Keywords

Bose-Mesner algebraassociation schemespartially ordered setsSchur ringsfusion relationcellular ringscentralizer ringsfission schemes

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Designs and configurations (05B99)

Related Items

A non-Schurian coherent configuration on 14 points exists ⋮ Wedge-direct sums of table algebras and applications to association schemes. II ⋮ On the characters of nilpotent association schemes ⋮ Irreducible representations of wreath products of association schemes ⋮ Association schemes all of whose symmetric fusion schemes are integral ⋮ Clifford theory for commutative association schemes ⋮ Some families of directed strongly regular graphs obtained from certain finite incidence structures ⋮ Semidirect products of association schemes ⋮ On generalized semidirect product of association schemes

Uses Software

• GAP

Cites Work

• Schur rings and cyclic association schemes of class three
• Algebraic decompositions of commutative association schemes
• Characters of finite quasigroups. III: Quotients and fusion
• Galois correspondence between permutation groups and cellular rings (association schemes)
• Subschemes of some association schemes
• Amorphous association schemes over the Galois rings of characteristic 4
• Skew-symmetric association schemes with two classes and strongly regular graphs of type \(L_{2n-1}(4n-1)\)
• Coherent configurations. I: Ordinary representation theory
• On construction and identification of graphs. With contributions by A. Lehman, G. M. Adelson-Velsky, V. Arlazarov, I. Faragev, A. Uskov, I. Zuev, M. Rosenfeld and B. Weisfeiler
• Character tables of fission schemes and fusion schemes
• On the structure of basic sets of Schur rings over cyclic groups
• Class 3 association schemes whose symmetrizations have two classes
• An algebraic approach to association schemes
• Association schemes of new types and necessary conditions for existence of regular and symmetrical PBIB designs with those association schemes
• Intersection matrices for finite permutation groups
• Automorphisms of certain classes of graphs
• On Linear Associative Algebras Corresponding to Association Schemes of Partially Balanced Designs
• The transitive groups of degree up to eleven⁺
• THE CLASSIFICATION OF ASSOCIATION SCHEMES WITH 11 OR 12 VERTICES
• CLASSIFICATION OF ASSOCIATION SCHEMES WITH 16 AND 17 VERTICES
• CLASSIFICATION OF ASSOCIATION SCHEMES WITH AT MOST TEN VERTICES
• Classification and Analysis of Partially Balanced Incomplete Block Designs with Two Associate Classes
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