Association schemes generated by a non-symmetric relation of valency 2

Authors:
M. Hirasaka;M. Muzychuk
Affiliations:
Combinatorial and Computational Mathematics Center, POSTECH, Pohang, 790-784, South Korea;Department of Mathematics and Computer Science, Netanya Academic College, 16 Kibutz Galuyot St., 42365 Netanya, Israel
Venue:
Discrete Mathematics - Algebraic and topological methods in graph theory
Year:
2002

Citing 6
Cited 4

Character tables of fission schemes and fusion schemes

European Journal of Combinatorics - Special issue: association schemes
On isomorphisms of connected Cayley graphs

Discrete Mathematics
On finite groups with the Cayley isomorphism property

Journal of Graph Theory
Half-transitive group actions on finite graphs of valency 4

Journal of Combinatorial Theory Series B
On isomorphisms of connected Cayley graphs, II

Journal of Combinatorial Theory Series B
Tetravalent graphs admitting half-transitive group actions: alternating cycles

Journal of Combinatorial Theory Series B

Classification of association schemes of small order

Discrete Mathematics - The 2000 Com2MaC conference on association schemes, codes and designs
Association schemes on 28 points as mergings of a half-homogeneous coherent configuration

European Journal of Combinatorics
Representations of finite association schemes

European Journal of Combinatorics
Trends and lines of development in scheme theory

European Journal of Combinatorics

Quantified Score

Hi-index	0.00

Visualization

Abstract

We give some observations on association schemes with a relation of valency 2 from the representation theory of Bose-Mesner algebras and the basic structure theory. One of the applications of these observations is the classification of the association schemes with a nonsymmetric relation of valency 2 if the cardinality of the point set is a product of two primes, and another is the proof of Li's conjecture that any finite simple group is a connected 2-DCI-group.