The nonexistence of locally $\bar J(10,5)$-graphs
Trudy Instituta matematiki i mehaniki, Группы и графы, Tome 13 (2007) no. 1, pp. 158-165 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper, the nonexistence of graphs is proved for which the neighborhood of every vertex is isomorphic to the graph $\bar J(10,5)$.
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D. V. Paduchikh. The nonexistence of locally $\bar J(10,5)$-graphs. Trudy Instituta matematiki i mehaniki, Группы и графы, Tome 13 (2007) no. 1, pp. 158-165. http://geodesic.mathdoc.fr/item/TIMM_2007_13_1_a11/

[1] Makhnev A. A., “On the graphs with $\mu$-subgraphs isomorphic to $K_{u\times2}$”, Proc. Steklov Inst. Math., Suppl. 2, 2001, 169–178 | MR

[2] Kabanov V. V., Makhnev A. A., Paduchikh D. V., “Lokalnoe stroenie grafov bez 3-koron s reberno regulyarnymi $\mu$-podgrafami”, Algebra i ee prilozheniya: Tez. dokl. mezhdunar. konf., izd-vo Krasnoyarsk. gos. un-ta, Krasnoyarsk, 2002, 55–56

[3] Blokhuis A., Brouwer A. E., “On locally 4-by-4 grid graphs”, J. Graph Theory, 13:2 (1989), 229–244 | DOI | MR | Zbl