Geodesic
The Terwilliger algebra of the incidence graphs of Johnson geometry
The electronic journal of combinatorics, Tome 20 (2013) no. 4
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In 2007, Levstein and Maldonado computed the Terwilliger algebra of the Johnson graph $J(n,m)$ when $3m\leq n$. It is well known that the halved graphs of the incidence graph $J(n,m,m+1)$ of Johnson geometry are Johnson graphs. In this paper, we determine the Terwilliger algebra of $J(n,m,m+1)$ when $3m\leq n$, give two bases of this algebra, and calculate its dimension.
DOI : 10.37236/3751
Classification : 05E30
Mots-clés : Terwilliger algebra, Johnson graph, incidence graph, Johnson geometry 
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     author = {Qian Kong and Benjian Lv and Kaishun Wang},
     title = {The {Terwilliger} algebra of the incidence graphs of {Johnson} geometry},
     journal = {The electronic journal of combinatorics},
     year = {2013},
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     number = {4},
     doi = {10.37236/3751},
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Qian Kong; Benjian Lv; Kaishun Wang. The Terwilliger algebra of the incidence graphs of Johnson geometry. The electronic journal of combinatorics, Tome 20 (2013) no. 4. doi: 10.37236/3751

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