Makhnev, A. A.; Golubyatnikov, M. P. Automorphisms of a graph with intersection array \(\{nm - 1, nm - n + m - 1, n - m + 1;1, 1, nm - n + m - 1\}\). (English. Russian original) Zbl 07291182 Algebra Logic 59, No. 5, 385-394 (2020); translation from Algebra Logika 59, No. 5, 567-581 (2020). Summary: Automorphisms of a graph with intersection array \(\{nm - 1, nm - n + m - 1, n - m + 1;1, 1, nm - n + m - 1\}\) are considered. MSC: 05E30 Association schemes, strongly regular graphs Keywords:distance-regular graphs; strongly regular graphs; graph automorphisms PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{M. P. Golubyatnikov}, Algebra Logic 59, No. 5, 385--394 (2020; Zbl 07291182); translation from Algebra Logika 59, No. 5, 567--581 (2020) Full Text: DOI OpenURL References: [1] Brouwer, AE; Cohen, AM; Neumaier, A., Distance-Regular Graphs (1989), Berlin: Springer-Verlag, Berlin [2] Makhnev, AA; Nirova, MS, Distance-regular Shilla graphs with b_2 = c_2, Mat. Zametki, 103, 5, 730-744 (2018) · Zbl 1394.05027 [3] Makhnev, AA; Golubyatnikov, MP; Guo, aW, Inverse problems in distance-regular graphs: Nets, Comm. Math. Stat., 7, 1, 69-83 (2019) · Zbl 1414.05142 [4] Efimov, KS; Makhnev, AA, Automorphisms of a distance-regular graph with intersection array {39, 36, 4; 1, 1, 36}, Ural Math. J., 4, 2, 69-78 (2018) · Zbl 1448.05232 [5] Bose, RC; Dowling, TA, A generalization of Moore graphs of diameter two, J. Comb. Th., Ser. B, 11, 213-226 (1971) · Zbl 0184.49101 [6] Gavrilyuk, AL; Makhnev, AA, On automorphisms of a distance-regular graph with intersection array {56, 45, 1; 1, 9, 56}, Dokl. AN, 432, 5, 583-587 (2010) · Zbl 1250.05059 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.