Geodesic
Inverse problems of graph theory: graphs without triangles
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 27-42

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Graph $\Gamma_i$ for a distance-regular graph $\Gamma$ of diameter 3 can be strongly regular for $i=2$ or $i=3$. Finding intersection array of graph $\Gamma$ by the parameters of $\Gamma_i$ is an inverse problem. Earlier direct and inverse problems have been solved by A.A. Makhnev, M.S. Nirova for $i=3$ and by A.A. Makhnev and D.V. Paduchikh for $i=2$. In this work it is consider the case when graph $\Gamma_3$ is strongly regular without triangles and $v\le 100000$.
Keywords: distance regular graph, strongly regular graph without triangles. 
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     title = {Inverse problems of graph theory: graphs without triangles},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a13/}
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A. A. Makhnev; I. N. Belousov; D. V. Paduchikh. Inverse problems of graph theory: graphs without triangles. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 27-42. http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a13/