On Terwilliger graphs with $\mu=4$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 2, pp. 84-93

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A Terwilliger graph is an incomplete connected graph in which the intersection of the neighborhoods of any two vertices lying at the distance of 2 is a $\mu$-clique for some constant $\mu$. The local structure of Terwilliger graphs with $\mu=4$ is described.
Keywords: Terwilliger graphs, regularity problem.
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     author = {A. L. Gavrilyuk},
     title = {On {Terwilliger} graphs with $\mu=4$},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {84--93},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2009},
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     url = {http://geodesic.mathdoc.fr/item/TIMM_2009_15_2_a7/}
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A. L. Gavrilyuk. On Terwilliger graphs with $\mu=4$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 2, pp. 84-93. http://geodesic.mathdoc.fr/item/TIMM_2009_15_2_a7/