Shrikhande, Mohan S.; Pawale, Rajendra M.; Yadav, Ajeet Kumar Designs over regular graphs with least eigenvalue \(-2\). (English) Zbl 1479.05215 J. Algebr. Comb. 54, No. 4, 1021-1045 (2021). MSC: 05C51 05B05 05B20 05C50 05E30 PDF BibTeX XML Cite \textit{M. S. Shrikhande} et al., J. Algebr. Comb. 54, No. 4, 1021--1045 (2021; Zbl 1479.05215) Full Text: DOI OpenURL
Makhnev, A. A.; Paduchikh, D. V. On extensions of exceptional strongly regular graphs with eigenvalue 3. (English. Russian original) Zbl 1317.05193 Proc. Steklov Inst. Math. 288, Suppl. 1, S112-S128 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 1, 169-184 (2014). MSC: 05E30 05C50 05C12 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{D. V. Paduchikh}, Proc. Steklov Inst. Math. 288, S112--S128 (2015; Zbl 1317.05193); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 1, 169--184 (2014) Full Text: DOI OpenURL
Efimov, K. S.; Makhnev, A. A. On graphs with in strongly regular local subgraphs having parameters \((88, 27, 6, 9)\). (English. Russian original) Zbl 1319.05152 Dokl. Math. 91, No. 1, 80-83 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 5, 512-516 (2015). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05E30 05C12 05C50 PDF BibTeX XML Cite \textit{K. S. Efimov} and \textit{A. A. Makhnev}, Dokl. Math. 91, No. 1, 80--83 (2015; Zbl 1319.05152); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 5, 512--516 (2015) Full Text: DOI OpenURL
Belousov, I. N.; Makhnev, A. A. On extensions of strongly regular graphs without triangles with eigenvalue 3. (English. Russian original) Zbl 1304.05154 Dokl. Math. 90, No. 1, 395-398 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 1, 7-10 (2014). MSC: 05E30 05C50 05C07 PDF BibTeX XML Cite \textit{I. N. Belousov} and \textit{A. A. Makhnev}, Dokl. Math. 90, No. 1, 395--398 (2014; Zbl 1304.05154); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 1, 7--10 (2014) Full Text: DOI OpenURL
Makhnev, A. A.; Paduchikh, D. V. On extensions of exceptional strongly regular graphs with eigenvalue 3. (English. Russian original) Zbl 1304.05157 Dokl. Math. 89, No. 3, 354-358 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 5, 523-527 (2014). MSC: 05E30 05C07 05C12 05C50 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{D. V. Paduchikh}, Dokl. Math. 89, No. 3, 354--358 (2014; Zbl 1304.05157); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 5, 523--527 (2014) Full Text: DOI OpenURL
Kagazezheva, A. M.; Makhnev, A. A. On graphs with strongly regular local subgraphs with parameters \((111,30,5,9)\) or \((169,42,5,12)\). (English. Russian original) Zbl 1306.05252 Dokl. Math. 89, No. 3, 283-286 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 2, 135-139 (2014). MSC: 05E30 05C60 PDF BibTeX XML Cite \textit{A. M. Kagazezheva} and \textit{A. A. Makhnev}, Dokl. Math. 89, No. 3, 283--286 (2014; Zbl 1306.05252); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 2, 135--139 (2014) Full Text: DOI OpenURL
Makhnev, A. A.; Tokbaeva, A. A. On graphs with strongly regular local subgraphs with parameters \((196,45,4,12)\). (English. Russian original) Zbl 1306.05254 Dokl. Math. 89, No. 3, 276-278 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 1, 20-22 (2014). MSC: 05E30 05C60 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{A. A. Tokbaeva}, Dokl. Math. 89, No. 3, 276--278 (2014; Zbl 1306.05254); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 1, 20--22 (2014) Full Text: DOI OpenURL
Makhnev, A. A.; Paduchikh, D. V. On graphs whose local subgraphs are strongly regular with parameters \((144, 39, 6, 12)\). (English. Russian original) Zbl 1304.05156 Dokl. Math. 89, No. 2, 235-238 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 6, 633-636 (2014). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05E30 05C60 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{D. V. Paduchikh}, Dokl. Math. 89, No. 2, 235--238 (2014; Zbl 1304.05156); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 6, 633--636 (2014) Full Text: DOI OpenURL
Kabanov, V. V.; Makhnev, A. A. On graphs in which all neighborhoods of vertices are locally pseudocyclic graphs. (English. Russian original) Zbl 1305.05238 Dokl. Math. 89, No. 1, 76-79 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 4, 387-391 (2014). Reviewer: Kaishun Wang (Beijing) MSC: 05E30 05C12 PDF BibTeX XML Cite \textit{V. V. Kabanov} and \textit{A. A. Makhnev}, Dokl. Math. 89, No. 1, 76--79 (2014; Zbl 1305.05238); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 4, 387--391 (2014) Full Text: DOI OpenURL
Gutnova, A. K.; Makhnev, A. A. Amply regular graphs whose local subgraphs are pseudogeometric graphs for \(pG_{s - 3}(s, t)\). (English. Russian original) Zbl 1304.05035 Dokl. Math. 89, No. 1, 38-41 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 2, 145-148 (2014). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05C12 05E30 PDF BibTeX XML Cite \textit{A. K. Gutnova} and \textit{A. A. Makhnev}, Dokl. Math. 89, No. 1, 38--41 (2014; Zbl 1304.05035); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 2, 145--148 (2014) Full Text: DOI OpenURL
Efimov, K. S. Classification of amply regular graphs with \(b_1=6\). (English. Russian original) Zbl 1304.05033 Proc. Steklov Inst. Math. 283, Suppl. 1, S46-S55 (2013); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 18, No. 3, 90-98 (2012). MSC: 05C12 05C07 PDF BibTeX XML Cite \textit{K. S. Efimov}, Proc. Steklov Inst. Math. 283, S46--S55 (2013; Zbl 1304.05033); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 18, No. 3, 90--98 (2012) Full Text: DOI OpenURL
Frelih, Boštjan; Miklavič, Štefko Edge regular graph products. (English) Zbl 1266.05130 Electron. J. Comb. 20, No. 1, Research Paper P62, 17 p. (2013). MSC: 05C75 05C76 PDF BibTeX XML Cite \textit{B. Frelih} and \textit{Š. Miklavič}, Electron. J. Comb. 20, No. 1, Research Paper P62, 17 p. (2013; Zbl 1266.05130) Full Text: Link OpenURL
Makhnev, A. A.; Nirova, M. S. On graphs in which the neighborhoods of vertices are strongly regular with eigenvalue 2. (English. Russian original) Zbl 1258.05073 Dokl. Math. 85, No. 3, 363-366 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 3, 258-261 (2012). Reviewer: Mirko Lepović (Kragujevac) MSC: 05C50 05C30 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{M. S. Nirova}, Dokl. Math. 85, No. 3, 363--366 (2012; Zbl 1258.05073); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 3, 258--261 (2012) Full Text: DOI OpenURL
Makhnev, A. A.; Paduchikh, D. V.; Khamgokova, M. M. On amply regular locally \(GQ(4, 6)\)-graphs. (English. Russian original) Zbl 1276.05019 Dokl. Math. 85, No. 3, 344-346 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 2, 146-149 (2012). Reviewer: Sanming Zhou (Parkville) MSC: 05B25 05C25 PDF BibTeX XML Cite \textit{A. A. Makhnev} et al., Dokl. Math. 85, No. 3, 344--346 (2012; Zbl 1276.05019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 444, No. 2, 146--149 (2012) Full Text: DOI OpenURL
Zyulyarkina, N. D.; Makhnev, A. A. Extensions of strongly regular graphs with eigenvalue 2. (English. Russian original) Zbl 1247.05276 Dokl. Math. 85, No. 1, 1-4 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 442, No. 1, 7-10 (2012). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05E30 PDF BibTeX XML Cite \textit{N. D. Zyulyarkina} and \textit{A. A. Makhnev}, Dokl. Math. 85, No. 1, 1--4 (2012; Zbl 1247.05276); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 442, No. 1, 7--10 (2012) Full Text: DOI OpenURL
Kardanova, M. L.; Makhnev, A. A.; Paduchikh, D. V. On graphs in which the neighborhood of each vertex is isomorphic to the Higman-Sims graph. (English. Russian original) Zbl 1236.05132 Dokl. Math. 84, No. 1, 471-474 (2011); translation from Dokl. Akad. Nauk 439, No. 2, 163-166 (2011). Reviewer: Mirko Lepović (Kragujevac) MSC: 05C60 05C07 05C69 05E30 PDF BibTeX XML Cite \textit{M. L. Kardanova} et al., Dokl. Math. 84, No. 1, 471--474 (2011; Zbl 1236.05132); translation from Dokl. Akad. Nauk 439, No. 2, 163--166 (2011) Full Text: DOI OpenURL
Gutnova, A. K.; Makhnev, A. A. Graphs in which the neighborhoods of vertices are pseudogeometric graphs for \(GQ(3, 5)\). (English. Russian original) Zbl 1239.05188 Dokl. Math. 83, No. 3, 376-379 (2011); translation from Dokl. Akad. Nauk 438, No. 5, 595-598 (2011). Reviewer: Ko-Wei Lih (Taipei) MSC: 05C75 51E14 PDF BibTeX XML Cite \textit{A. K. Gutnova} and \textit{A. A. Makhnev}, Dokl. Math. 83, No. 3, 376--379 (2011; Zbl 1239.05188); translation from Dokl. Akad. Nauk 438, No. 5, 595--598 (2011) Full Text: DOI OpenURL
Makhnev, A. A.; Paduchikh, D. V. On amply regular locally \(GQ(5,5)\)-graphs. (English. Russian original) Zbl 1291.05136 Dokl. Math. 82, No. 3, 854-857 (2010); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 435, No. 1, 18-21 (2010). MSC: 05C60 05C99 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{D. V. Paduchikh}, Dokl. Math. 82, No. 3, 854--857 (2010; Zbl 1291.05136); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 435, No. 1, 18--21 (2010) Full Text: DOI OpenURL
Makhnev, A. A.; Paduchikh, D. V. On graphs in which each \(\mu\)-subgraph is a pentagon. (English. Russian original) Zbl 1292.05207 Dokl. Math. 81, No. 2, 251-254 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 431, No. 4, 450-453 (2010). MSC: 05C69 05C40 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{D. V. Paduchikh}, Dokl. Math. 81, No. 2, 251--254 (2010; Zbl 1292.05207); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 431, No. 4, 450--453 (2010) Full Text: DOI OpenURL
Gutnova, A. K.; Makhnev, A. A. Graphs in which the neighborhoods of vertices are pseudogeometric graphs for \(GQ(3,3)\). (English. Russian original) Zbl 1292.05274 Dokl. Math. 82, No. 1, 609-612 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 433, No. 6. 727-730 (2010). MSC: 05E30 05C75 51E12 PDF BibTeX XML Cite \textit{A. K. Gutnova} and \textit{A. A. Makhnev}, Dokl. Math. 82, No. 1, 609--612 (2010; Zbl 1292.05274); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 433, No. 6. 727--730 (2010) Full Text: DOI OpenURL
Soicher, Leonard H. More on block intersection polynomials and new applications to graphs and block designs. (English) Zbl 1228.05080 J. Comb. Theory, Ser. A 117, No. 7, 799-809 (2010). MSC: 05B05 05C69 PDF BibTeX XML Cite \textit{L. H. Soicher}, J. Comb. Theory, Ser. A 117, No. 7, 799--809 (2010; Zbl 1228.05080) Full Text: DOI OpenURL
Efimov, Konstantin S.; Makhnev, Aleksandr A. Amply regular graphs with \(b_1=6\). (Russian. English summary) Zbl 07324698 J. Sib. Fed. Univ., Math. Phys. 2, No. 1, 63-77 (2009). MSC: 05-XX 57-XX PDF BibTeX XML Cite \textit{K. S. Efimov} and \textit{A. A. Makhnev}, J. Sib. Fed. Univ., Math. Phys. 2, No. 1, 63--77 (2009; Zbl 07324698) Full Text: MNR OpenURL
Makhnev, A. A. Pseudodual grids and extensions of generalized quadrangles. (Russian, English) Zbl 1014.05014 Sib. Mat. Zh. 42, No. 5, 1117-1124 (2001); translation in Sib. Math. J. 42, No. 5, 936-941 (2001). Reviewer: A.N.Ryaskin (Novosibirsk) MSC: 05B25 51E12 05E30 PDF BibTeX XML Cite \textit{A. A. Makhnev}, Sib. Mat. Zh. 42, No. 5, 1117--1124 (2001; Zbl 1014.05014); translation in Sib. Math. J. 42, No. 5, 936--941 (2001) Full Text: EuDML EMIS OpenURL
Makhnev, A. A. On graphs the neighbourhoods of whose vertices are strongly regular with \(k=2\mu\). (English. Russian original) Zbl 0971.05112 Sb. Math. 191, No. 7, 1033-1048 (2000); translation from Mat. Sb. 191, No. 7, 89-104 (2000). Reviewer: L.Teirlinck (Auburn) MSC: 05E30 05C75 05B25 51E12 51E14 PDF BibTeX XML Cite \textit{A. A. Makhnev}, Sb. Math. 191, No. 7, 1033--1048 (2000; Zbl 0971.05112); translation from Mat. Sb. 191, No. 7, 89--104 (2000) Full Text: DOI OpenURL
Kabanov, V. V.; Makhnev, A. A. On separated graphs with certain regularity conditions. (English. Russian original) Zbl 0868.05045 Sb. Math. 187, No. 10, 1487-1501 (1996); translation from Mat. Sb. 187, No. 10, 73-86 (1996). MSC: 05C75 05C12 05E30 PDF BibTeX XML Cite \textit{V. V. Kabanov} and \textit{A. A. Makhnev}, Sb. Math. 187, No. 10, 1487--1501 (1996; Zbl 0868.05045); translation from Mat. Sb. 187, No. 10, 73--86 (1996) Full Text: DOI OpenURL