The Terwilliger algebra of the incidence graphs of Johnson geometry

Details The Terwilliger algebra of the incidence graphs of Johnson geometry The Terwilliger algebra of the incidence graphs of Johnson geometry

2011-11-06

arxiv.org/abs/1111.1369v1

Mathematics

Combinatorics

10 pages

Scientific paper

Levstein and Maldonado [F. Levstein, C. Maldonado, The Terwilliger algebra of the Johnson schemes, Discrete Mathematics 307 (2007) 1621--1635] computed the Terwilliger algebra of the Johnson scheme $J(n,m)$ when $3m\leq n$. In this paper, we determine the Terwilliger algebra of the incidence graph $J(n,m,m+1)$ of Johnson geometry when $3m\leq n$, give two bases of this algebra, and calculate its dimension.

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