Geodesic
Terwilliger Graphs with $\mu\le3$
Matematičeskie zametki, Tome 82 (2007) no. 1, pp. 14-26

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A Terwilliger graph is a noncomplete graph in which intersection of the neighborhoods of any two vertices at distance 2 from each other is a $\mu$-clique. We classify connected Terwilliger graphs with $\mu=3$ and describe the structure of Terwilliger graphs of diameter 2 with $\mu=2$.
Keywords: undirected graph, regular graph, biregular graph, Terwilliger graph, edge regular graph, Fibonacci number, affine and projective plane.
Mots-clés : clique extension 
@article{MZM_2007_82_1_a2,
     author = {A. L. Gavrilyuk and A. A. Makhnev},
     title = {Terwilliger {Graphs} with $\mu\le3$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {14--26},
     publisher = {mathdoc},
     volume = {82},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_82_1_a2/}
}
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A. L. Gavrilyuk; A. A. Makhnev. Terwilliger Graphs with $\mu\le3$. Matematičeskie zametki, Tome 82 (2007) no. 1, pp. 14-26. http://geodesic.mathdoc.fr/item/MZM_2007_82_1_a2/