TY - JOUR
T1 - Association schemes generated by a non-symmetric relation of valency 2
AU - Hirasaka, M.
AU - Muzychuk, M.
N1 - Funding Information:
∗Corresponding author. E-mail address: [email protected] (M. Muzychuk). 1Supported by the Japan Society for Promotion of Science and worked at the Emmy Noether Research Institute for Mathematical Science at Bar-Ilan University. The author wishes to express his gratitude to both institutions for their support. 2Partially supported by the Israeli Ministry of Absorption.
PY - 2002/2/6
Y1 - 2002/2/6
N2 - 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 non-symmetric 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.
AB - 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 non-symmetric 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.
KW - 2-dci-group
KW - Association schemes
UR - http://www.scopus.com/inward/record.url?scp=31244433144&partnerID=8YFLogxK
U2 - 10.1016/S0012-365X(01)00063-2
DO - 10.1016/S0012-365X(01)00063-2
M3 - Conference article
AN - SCOPUS:31244433144
SN - 0012-365X
VL - 244
SP - 109
EP - 135
JO - Discrete Mathematics
JF - Discrete Mathematics
IS - 1-3
T2 - Algebraic and Topological Methods in Graph Theory (ATMGT)
Y2 - 28 June 1999 through 2 July 1999
ER -