Gavrilyuk, Alexander L.; Makhnev, A. A. Automorphisms of graphs with intersection arrays \(\{60, 45, 8; 1, 12, 50\}\) and \(\{49, 36, 8; 1, 6, 42\}\). (English. Russian original) Zbl 1369.05054 Math. Notes 101, No. 6, 942-950 (2017); translation from Mat. Zametki 101, No. 6, 823-831 (2017). MSC: 05C12 05C51 PDFBibTeX XMLCite \textit{A. L. Gavrilyuk} and \textit{A. A. Makhnev}, Math. Notes 101, No. 6, 942--950 (2017; Zbl 1369.05054); translation from Mat. Zametki 101, No. 6, 823--831 (2017) Full Text: DOI
Gavrilyuk, Alexander L.; Koolen, Jack H. The Terwilliger polynomial of a \(Q\)-polynomial distance-regular graph and its application to pseudo-partition graphs. (English) Zbl 1303.05214 Linear Algebra Appl. 466, 117-140 (2015). MSC: 05E30 05C31 05C12 PDFBibTeX XMLCite \textit{A. L. Gavrilyuk} and \textit{J. H. Koolen}, Linear Algebra Appl. 466, 117--140 (2015; Zbl 1303.05214) Full Text: DOI arXiv
Gavrilyuk, A. L.; Makhnev, A. A. Distance-regular graph with the intersection array \(\{45, 30, 7; 1, 2, 27\}\) does not exist. (English. Russian original) Zbl 1311.05050 Discrete Math. Appl. 23, No. 3-4, 225-244 (2013); translation from Diskretn. Mat. 25, No. 2, 13-30 (2013). MSC: 05C12 05C69 PDFBibTeX XMLCite \textit{A. L. Gavrilyuk} and \textit{A. A. Makhnev}, Discrete Math. Appl. 23, No. 3--4, 225--244 (2013; Zbl 1311.05050); translation from Diskretn. Mat. 25, No. 2, 13--30 (2013) Full Text: DOI
Gavrilyuk, A. L.; Makhnev, A. A.; Paduchikh, D. V. On distance-regular graphs in which neighborhoods of vertices are strongly regular. (English. Russian original) Zbl 1284.05338 Dokl. Math. 88, No. 2, 532-536 (2013); translation from Dokl. Akad. Nauk. 452, No. 3, 247-251 (2013). Reviewer: Kaishun Wang (Beijing) MSC: 05E30 05C12 PDFBibTeX XMLCite \textit{A. L. Gavrilyuk} et al., Dokl. Math. 88, No. 2, 532--536 (2013; Zbl 1284.05338); translation from Dokl. Akad. Nauk. 452, No. 3, 247--251 (2013) Full Text: DOI
Gavrilyuk, Alexander L.; Goryainov, Sergey V. On perfect 2-colorings of Johnson graphs \(J(v, 3)\). (English) Zbl 1266.05033 J. Comb. Des. 21, No. 5-6, 232-252 (2013). MSC: 05C15 05C70 05C12 PDFBibTeX XMLCite \textit{A. L. Gavrilyuk} and \textit{S. V. Goryainov}, J. Comb. Des. 21, No. 5--6, 232--252 (2013; Zbl 1266.05033) Full Text: DOI
Gavrilyuk, Alexander L.; Makhnev, Alexander A. Distance-regular graphs with intersection arrays \(\{52, 35, 16; 1, 4, 28\}\) and \(\{69, 48, 24; 1, 4, 46\}\) do not exist. (English) Zbl 1245.05035 Des. Codes Cryptography 65, No. 1-2, 49-54 (2012). MSC: 05C12 05E30 PDFBibTeX XMLCite \textit{A. L. Gavrilyuk} and \textit{A. A. Makhnev}, Des. Codes Cryptography 65, No. 1--2, 49--54 (2012; Zbl 1245.05035) Full Text: DOI
Gavrilyuk, A. L. Distance-regular graphs with intersection arrays \(\{55, 36, 11; 1, 4, 45\}\) and \(\{56, 36, 9; 1, 3, 48\}\) do not exist. (English. Russian original) Zbl 1283.05232 Dokl. Math. 84, No. 1, 444-446 (2011); translation from Dokl. Akad. Nauk 439, No. 1, 14-17 (2011). MSC: 05C75 05E30 05C12 PDFBibTeX XMLCite \textit{A. L. Gavrilyuk}, Dokl. Math. 84, No. 1, 444--446 (2011; Zbl 1283.05232); translation from Dokl. Akad. Nauk 439, No. 1, 14--17 (2011) Full Text: DOI
Gavrilyuk, A. L.; Makhnev, A. A. On Terwilliger graphs in which the neighborhood of each vertex is isomorphic to the Hoffman-Singleton graph. (English. Russian original) Zbl 1233.05220 Math. Notes 89, No. 5, 633-644 (2011); translation from Mat. Zametki 89, No. 5, 673-685 (2011). MSC: 05E30 05C12 PDFBibTeX XMLCite \textit{A. L. Gavrilyuk} and \textit{A. A. Makhnev}, Math. Notes 89, No. 5, 633--644 (2011; Zbl 1233.05220); translation from Mat. Zametki 89, No. 5, 673--685 (2011) Full Text: DOI
Gavrilyuk, A. L.; Makhnev, A. A. On automorphisms of distance-regular graphs with intersection array \(\{56,\, 45,\, 1;\, 1,\, 9,\, 56\}\). (English. Russian original) Zbl 1250.05059 Dokl. Math. 81, No. 3, 439-442 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 432, No. 5, 583-587 (2010). MSC: 05C25 05C12 05E30 PDFBibTeX XMLCite \textit{A. L. Gavrilyuk} and \textit{A. A. Makhnev}, Dokl. Math. 81, No. 3, 439--442 (2010; Zbl 1250.05059); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 432, No. 5, 583--587 (2010) Full Text: DOI
Gavrilyuk, A. L.; Makhnev, A. A. On distance-regular graphs in which the neighborhood of each vertex is isomorphic to the Hoffman-Singleton graph. (English. Russian original) Zbl 1285.05153 Dokl. Math. 80, No. 2, 665-668 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 428, No. 2, 157-160 (2009). MSC: 05C75 05C25 PDFBibTeX XMLCite \textit{A. L. Gavrilyuk} and \textit{A. A. Makhnev}, Dokl. Math. 80, No. 2, 665--668 (2009; Zbl 1285.05153); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 428, No. 2, 157--160 (2009) Full Text: DOI
Gavrilyuk, A. L. Classification of Ryser graphs. (English. Russian original) Zbl 1172.05352 Math. Notes 86, No. 1, 19-25 (2009); translation from Mat. Zametki 86, No. 1, 14-21 (2009). MSC: 05E30 05C70 PDFBibTeX XMLCite \textit{A. L. Gavrilyuk}, Math. Notes 86, No. 1, 19--25 (2009; Zbl 1172.05352); translation from Mat. Zametki 86, No. 1, 14--21 (2009) Full Text: DOI
Gavrilyuk, A. L.; Guo, Wenbin; Makhnev, A. A. Automorphisms of Terwilliger graphs with \(\mu=2\). (Russian, English) Zbl 1164.05466 Algebra Logika 47, No. 5, 584-600 (2008); translation in Algebra Logic 47, No. 5, 330-339 (2008). MSC: 05E30 05C12 PDFBibTeX XMLCite \textit{A. L. Gavrilyuk} et al., Algebra Logika 47, No. 5, 584--600 (2008; Zbl 1164.05466); translation in Algebra Logic 47, No. 5, 330--339 (2008) Full Text: DOI
Gavrilyuk, A. L.; Makhnev, A. A. On the regularity problem in Terwilliger graphs. (English. Russian original) Zbl 1177.05130 Dokl. Math. 76, No. 3, 820-823 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 417, No. 2, 151-155 (2007). MSC: 05E30 05C12 PDFBibTeX XMLCite \textit{A. L. Gavrilyuk} and \textit{A. A. Makhnev}, Dokl. Math. 76, No. 3, 820--823 (2007; Zbl 1177.05130); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 417, No. 2, 151--155 (2007) Full Text: DOI
Gavrilyuk, A. L.; Makhnev, A. A. Amply regular graphs and block designs. (Russian, English) Zbl 1150.05393 Sib. Mat. Zh. 47, No. 4, 753-768 (2006); translation in Sib. Math. J. 47, No. 4, 621-633 (2006). MSC: 05C75 05E30 PDFBibTeX XMLCite \textit{A. L. Gavrilyuk} and \textit{A. A. Makhnev}, Sib. Mat. Zh. 47, No. 4, 753--768 (2006; Zbl 1150.05393); translation in Sib. Math. J. 47, No. 4, 621--633 (2006) Full Text: EuDML EMIS