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On Quasi-thin Association Schemes with Odd Number of Points

✍ Scribed by Mitsugu Hirasaka

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 130 KB
Volume: 240
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8740

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✦ Synopsis

X is a finite set and R is a partition of Ž . X = X. We say that X, R is quasi-thin if each element of R has a valency of at most two. In this paper we focus on quasi-thin association schemes with an odd Ž . number of points and obtain that X, R has a regular automorphism group when n is square-free.

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## Abstract The sporadic complete 12‐arc in PG(2, 13) contains eight points from a conic. In PG(2,__q__) with __q__>13 odd, all known complete __k__‐arcs sharing exactly ½(__q__+3) points with a conic 𝒞 have size at most ½(__q__+3)+2, with only two exceptions, both due to Pellegrino, which are comp