On quasi-thin association schemes

Details On quasi-thin association schemes On quasi-thin association schemes

2010-10-21

arxiv.org/abs/1010.4450v1

Mathematics

Combinatorics

Scientific paper

An association scheme is called quasi-thin if the valency of each its basic relation is one or two. A quasi-thin scheme is Kleinian if the thin residue of it forms a Klein group with respect to the relation product. It is proved that any Kleinian scheme arises from near-pencil on~$3$ points, or affine or projective plane of order~$2$. The main result is that any non-Kleinian quasi-thin scheme a) is the two-orbit scheme of a suitable permutation group, and b) is characterized up to isomorphism by its intersection number array. An infinite family of Kleinian quasi-thin schemes for which neither a) nor b) holds is also constructed.

Affiliated with

Also associated with

No associations

Rating

On quasi-thin association schemes 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 On quasi-thin association schemes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On quasi-thin association schemes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-423495