# Bled'11 - 7th Slovenian International Conference on Graph Theory

19-25 June 2011
Bled, Slovenia
Europe/Ljubljana timezone
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# Any 3-equivalenced association scheme is Frobenius

Presented by Dr. Mitsugu HIRASAKA
Type: Oral presentation
Track: Association Schemes

## Content

Let $(\Omega,S)$ be an association scheme where $\Omega$ is a finite set and $S$ is a partition of $\Omega\times \Omega$. For a positive integer $k$ we say that $(\Omega,S)$ is $k$-\textit{equivalenced} if each nonidentity element of $S$ has valency $k$. In this talk we focus on $3$-equivalenced association schemes to show that they are Frobenius, i.e., it is obtained from the orbitals of a Frobenius group.

## Place

Location: Bled, Slovenia
Address: Best Western Hotel Kompas Bled

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