Nonexistence of exceptional imprimitive Q-polynomial association schemes with six classes

Details Nonexistence of exceptional imprimitive Q-polynomial association schemes with six classes Nonexistence of exceptional imprimitive Q-polynomial association schemes with six classes

2010-05-20

arxiv.org/abs/1005.3598v1

European J. Combin. 32 (2011) 155-161

Mathematics

Combinatorics

7 pages

Scientific paper

10.1016/j.ejc.2010.09.006

Suzuki (1998) showed that an imprimitive Q-polynomial association scheme with first multiplicity at least three is either Q-bipartite, Q-antipodal, or with four or six classes. The exceptional case with four classes has recently been ruled out by Cerzo and Suzuki (2009). In this paper, we show the nonexistence of the last case with six classes. Hence Suzuki's theorem now exactly mirrors its well-known counterpart for imprimitive distance-regular graphs.

Affiliated with

Also associated with

No associations

Rating

Nonexistence of exceptional imprimitive Q-polynomial association schemes with six classes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonexistence of exceptional imprimitive Q-polynomial association schemes with six classes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonexistence of exceptional imprimitive Q-polynomial association schemes with six classes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-209318