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Makhnev, Aleksandr A.; Golubyatnikov, Mikhail P.

On small distance-regular graphs with the intersection arrays \( \{mn - 1, (m - 1)(n + 1), n - m + 1; 1, 1, (m - 1)(n + 1)\}\). (English. Russian original) Zbl 07767365

Discrete Math. Appl. 33, No. 5, 273-281 (2023); translation from Diskretn. Mat. 34, No. 1, 76-87 (2022).
MSC:  05E30 05C12 05C10
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\textit{A. A. Makhnev} and \textit{M. P. Golubyatnikov}, Discrete Math. Appl. 33, No. 5, 273--281 (2023; Zbl 07767365); translation from Diskretn. Mat. 34, No. 1, 76--87 (2022)
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Makhnev, Aleksandr A.; Guo, Wenbin

On distance-regular graphs \(\Gamma\) of diameter 3 for which \(\Gamma_3\) is a triangle-free graph. (English. Russian original) Zbl 07740750

Discrete Math. Appl. 33, No. 4, 199-204 (2023); translation from Diskretn. Mat. 33, No. 4, 61-67 (2021).
Reviewer: Hirotake Kurihara (Yamaguchi)
MSC:  05E30 05C12
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\textit{A. A. Makhnev} and \textit{W. Guo}, Discrete Math. Appl. 33, No. 4, 199--204 (2023; Zbl 07740750); translation from Diskretn. Mat. 33, No. 4, 61--67 (2021)
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Tian, Yi; Kang, Na; Wu, Weili; Du, Ding-Zhu; Gao, Suogang

Distance magic labeling of the halved folded \(n\)-cube. (English) Zbl 1522.68427

Ni, Qiufen (ed.) et al., Algorithmic aspects in information and management. 16th international conference, AAIM 2022, Guangzhou, China, August 13–14, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13513, 327-338 (2022).
MSC:  68R10 05C12 05C78
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\textit{Y. Tian} et al., Lect. Notes Comput. Sci. 13513, 327--338 (2022; Zbl 1522.68427)
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Makhnev, A. A.; Paduchikh, D. V.

Inverse problems in the class of distance-regular graphs of diameter 4. (English. Russian original) Zbl 1504.05305

Proc. Steklov Inst. Math. 317, Suppl. 1, S121-S129 (2022); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 1, 199-208 (2022).
MSC:  05E30 05C12
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\textit{A. A. Makhnev} and \textit{D. V. Paduchikh}, Proc. Steklov Inst. Math. 317, S121--S129 (2022; Zbl 1504.05305); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 1, 199--208 (2022)
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Makhnev, A. A.; Belousov, I. N.; Golubyatnikov, M. P.; Nirova, M. S.

Three infinite families of Shilla graphs do not exist. (English. Russian original) Zbl 1477.05065

Dokl. Math. 103, No. 3, 133-138 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 45-50 (2021).
MSC:  05C12 05C50
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\textit{A. A. Makhnev} et al., Dokl. Math. 103, No. 3, 133--138 (2021; Zbl 1477.05065); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 45--50 (2021)
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Belousov, I. N.; Makhnev, A. A.

Inverse problems in the theory of distance-regular graphs: dual 2-designs. (English. Russian original) Zbl 1469.05050

Proc. Steklov Inst. Math. 313, Suppl. 1, S14-S20 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 25, No. 4, 44-51 (2019).
MSC:  05C12 05E30 05B30
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\textit{I. N. Belousov} and \textit{A. A. Makhnev}, Proc. Steklov Inst. Math. 313, S14--S20 (2021; Zbl 1469.05050); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 25, No. 4, 44--51 (2019)
Full Text: DOI
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 1508.05176

Algebra Logic 59, No. 5, 385-394 (2020); translation from Algebra Logika 59, No. 5, 567-581 (2020).
MSC:  05E30
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\textit{A. A. Makhnev} and \textit{M. P. Golubyatnikov}, Algebra Logic 59, No. 5, 385--394 (2020; Zbl 1508.05176); translation from Algebra Logika 59, No. 5, 567--581 (2020)
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Makhnev, A. A.; Paduchikh, D. V.

The largest Moore graph and a distance-regular graph with intersection array \(\{55, 54, 2; 1, 1, 54\}\). (English. Russian original) Zbl 1458.05056

Algebra Logic 59, No. 4, 322-327 (2020); translation from Algebra Logika 59, No. 4, 471-479 (2020).
MSC:  05C12 05C25
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\textit{A. A. Makhnev} and \textit{D. V. Paduchikh}, Algebra Logic 59, No. 4, 322--327 (2020; Zbl 1458.05056); translation from Algebra Logika 59, No. 4, 471--479 (2020)
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Gyürki, Štefan; Klin, Mikhail; Ziv-Av, Matan

The Paulus-Rozenfeld-Thompson graph on 26 vertices revisited and related combinatorial structures. (English) Zbl 1442.05248

Jones, Gareth A. (ed.) et al., Isomorphisms, symmetry and computations in algebraic graph theory. Selected papers based on the presentations at the workshop on algebraic graph theory, Pilsen, Czech Republic, October 3–7, 2016. Cham: Springer. Springer Proc. Math. Stat. 305, 73-154 (2020).
MSC:  05E30 05B05 62K10
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\textit{Š. Gyürki} et al., Springer Proc. Math. Stat. 305, 73--154 (2020; Zbl 1442.05248)
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Makhnev, A. A.; Paduchikh, D. V.

Inverse problems in the theory of distance-regular graphs. (English. Russian original) Zbl 1441.05247

Proc. Steklov Inst. Math. 307, Suppl. 1, S88-S98 (2019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 3, 133-144 (2018).
MSC:  05E30 05C12
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\textit{A. A. Makhnev} and \textit{D. V. Paduchikh}, Proc. Steklov Inst. Math. 307, S88--S98 (2019; Zbl 1441.05247); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 3, 133--144 (2018)
Full Text: DOI
Makhnev, A. A.; Paduchikh, D. V.

Automorphisms of a distance-regular graph with intersection array \(\{176, 135, 32, 1; 1, 16, 135, 176\}\). (English. Russian original) Zbl 1430.05138

Proc. Steklov Inst. Math. 305, Suppl. 1, S102-S113 (2019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 2, 173-184 (2018).
MSC:  05E30 05C25 05C12 20B05
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\textit{A. A. Makhnev} and \textit{D. V. Paduchikh}, Proc. Steklov Inst. Math. 305, S102--S113 (2019; Zbl 1430.05138); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 2, 173--184 (2018)
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