Makhnev, Alexander A.; Belousov, Ivan N. Shilla graphs with \(b = 5\) and \(b = 6\). (English) Zbl 1486.05322 Ural Math. J. 7, No. 2, 51-58 (2021). MSC: 05E30 05C12 PDFBibTeX XMLCite \textit{A. A. Makhnev} and \textit{I. N. Belousov}, Ural Math. J. 7, No. 2, 51--58 (2021; Zbl 1486.05322) Full Text: DOI MNR
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 PDFBibTeX XMLCite \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) Full Text: DOI
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 PDFBibTeX XMLCite \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
Belousov, I. N. Codes in Shilla distance-regular graphs. (English. Russian original) Zbl 1432.05034 Proc. Steklov Inst. Math. 305, Suppl. 1, S4-S9 (2019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 2, 34-39 (2018). MSC: 05C12 05C50 94B99 PDFBibTeX XMLCite \textit{I. N. Belousov}, Proc. Steklov Inst. Math. 305, S4--S9 (2019; Zbl 1432.05034); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 2, 34--39 (2018) Full Text: DOI
Belousov, Ivan Nikolaevich; Makhnev, Aleksandr Alekseevich; Nirova, Marina Sefovna On \(Q\)-polynomial distance-regular graphs \(\Gamma\) with strongly regular graphs \(\Gamma_2\) and \(\Gamma_3\). (Russian. English summary) Zbl 1426.05061 Sib. Èlektron. Mat. Izv. 16, 1385-1392 (2019). MSC: 05C25 05C12 05E30 PDFBibTeX XMLCite \textit{I. N. Belousov} et al., Sib. Èlektron. Mat. Izv. 16, 1385--1392 (2019; Zbl 1426.05061) Full Text: DOI
Belousov, Ivan Nikolaevich; Makhnev, Aleksandr Alekseevich Distance-regular graph with intersection array \(\{105,72,24;1,12,70\}\) does not exist. (Russian. English summary) Zbl 1410.05031 Sib. Èlektron. Mat. Izv. 16, 206-216 (2019). MSC: 05C12 05C25 PDFBibTeX XMLCite \textit{I. N. Belousov} and \textit{A. A. Makhnev}, Sib. Èlektron. Mat. Izv. 16, 206--216 (2019; Zbl 1410.05031) Full Text: DOI
Belousov, Ivan Nikolaevich; Makhnev, Aleksandr Alekseevich Distance-regular graphs with intersection arrays \(\{42,30,12;1,6,28\}\) and \(\{60,45,8;1,12,50\}\) do not exist. (Russian. English summary) Zbl 1411.05071 Sib. Èlektron. Mat. Izv. 15, 1506-1512 (2018). MSC: 05C12 PDFBibTeX XMLCite \textit{I. N. Belousov} and \textit{A. A. Makhnev}, Sib. Èlektron. Mat. Izv. 15, 1506--1512 (2018; Zbl 1411.05071) Full Text: DOI
Makhnev, Aleksandr Alekseevich; Belousov, Ivan Nikolaevich To the theory of Shilla graphs with \(b_2=c_2\). (Russian. English summary) Zbl 1430.05076 Sib. Èlektron. Mat. Izv. 14, 1135-1146 (2017). MSC: 05C50 05C12 05C25 PDFBibTeX XMLCite \textit{A. A. Makhnev} and \textit{I. N. Belousov}, Sib. Èlektron. Mat. Izv. 14, 1135--1146 (2017; Zbl 1430.05076) Full Text: DOI