Terwilliger algebra of Odd graphs

Details Terwilliger algebra of Odd graphs Terwilliger algebra of Odd graphs

2011-12-02

arxiv.org/abs/1112.0410v1

Mathematics

Combinatorics

7 pages

Scientific paper

In [The Terwilliger algebra of the Johnson schemes, Discrete Mathematics 307
(2007) 1621--1635], Levstein and Maldonado computed the Terwilliger algebra of
the Johnson scheme $J(n,m)$ when $3m\leq n$. The distance-$m$ graph of
$J(2m+1,m)$ is the Odd graph $O_{m+1}$. In this paper, we determine the
Terwilliger algebra of $O_{m+1}$ and give its basis.

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