van Dam, Edwin R.; Jazaeri, Mojtaba On bipartite distance-regular Cayley graphs with small diameter. (English) Zbl 1487.05126 Electron. J. Comb. 29, No. 2, Research Paper P2.12, 19 p. (2022). MSC: 05C25 05C12 05B10 PDFBibTeX XMLCite \textit{E. R. van Dam} and \textit{M. Jazaeri}, Electron. J. Comb. 29, No. 2, Research Paper P2.12, 19 p. (2022; Zbl 1487.05126) Full Text: DOI arXiv
Jánoš, Pavol; Mesežnikov, Dávid An upper bound on the order of graphs of diameter two arising as abelian lifts of multigraphs. (English) Zbl 1482.05085 Australas. J. Comb. 81, Part 3, 357-366 (2021). MSC: 05C12 05C25 PDFBibTeX XMLCite \textit{P. Jánoš} and \textit{D. Mesežnikov}, Australas. J. Comb. 81, Part 3, 357--366 (2021; Zbl 1482.05085) Full Text: Link
Dinitz, Michael; Schapira, Michael; Shahaf, Gal Approximate Moore graphs are good expanders. (English) Zbl 1430.05027 J. Comb. Theory, Ser. B 141, 240-263 (2020). MSC: 05C12 05C48 PDFBibTeX XMLCite \textit{M. Dinitz} et al., J. Comb. Theory, Ser. B 141, 240--263 (2020; Zbl 1430.05027) Full Text: DOI arXiv
Zhang, Tao; Ge, Gennian Improved lower bounds on the degree-diameter problem. (English) Zbl 1414.05105 J. Algebr. Comb. 49, No. 2, 135-146 (2019). MSC: 05C12 05C25 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{G. Ge}, J. Algebr. Comb. 49, No. 2, 135--146 (2019; Zbl 1414.05105) Full Text: DOI
López, Nacho; Pérez-Rosés, Hebert; Pujolàs, Jordi; Ždímalová, Mária Construction of extremal mixed graphs of diameter two. (English) Zbl 1414.05162 Discrete Appl. Math. 263, 204-211 (2019). MSC: 05C35 05C12 05C20 PDFBibTeX XMLCite \textit{N. López} et al., Discrete Appl. Math. 263, 204--211 (2019; Zbl 1414.05162) Full Text: DOI
Dinitz, Michael; Schapira, Michael; Shahaf, Gal Large low-diameter graphs are good expanders. (English) Zbl 1482.05084 Azar, Yossi (ed.) et al., 26th annual European symposium on algorithms, ESA 2018, August 20–22, 2018, Helsinki, Finland. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 112, Article 71, 15 p. (2018). MSC: 05C12 05C48 05C50 68R10 PDFBibTeX XMLCite \textit{M. Dinitz} et al., LIPIcs -- Leibniz Int. Proc. Inform. 112, Article 71, 15 p. (2018; Zbl 1482.05084) Full Text: DOI
Badia, Valentina; Pérez-Rosés, Hebert; Ryan, Joe Eulogy for Professor Mirka Miller (1949–2016). (English) Zbl 1432.01079 Math. Comput. Sci. 12, No. 3, 251-254 (2018). MSC: 01A70 PDFBibTeX XMLCite \textit{V. Badia} et al., Math. Comput. Sci. 12, No. 3, 251--254 (2018; Zbl 1432.01079) Full Text: DOI
Fiala, Jiří; Klavík, Pavel; Kratochvíl, Jan; Nedela, Roman 3-connected reduction for regular graph covers. (English) Zbl 1393.05207 Eur. J. Comb. 73, 170-210 (2018). MSC: 05C70 PDFBibTeX XMLCite \textit{J. Fiala} et al., Eur. J. Comb. 73, 170--210 (2018; Zbl 1393.05207) Full Text: DOI arXiv
López, Nacho; Pérez-Rosés, Hebert; Pujolàs, Jordi; Ždímalová, Mária A variant of the McKay-Miller-Širáň construction for mixed graphs. (English) Zbl 1356.05072 de Mier, Anna (ed.) et al., Discrete mathematical days. Extended abstracts of the 10th “Jornadas de matemática discreta y algorítmica” (JMDA), Barcelona, Spain, July 6–8, 2016. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 54, 151-156 (2016). MSC: 05C35 05C12 05C07 05C82 68R10 68M10 PDFBibTeX XMLCite \textit{N. López} et al., Electron. Notes Discrete Math. 54, 151--156 (2016; Zbl 1356.05072) Full Text: DOI Link
Abas, Marcel Cayley graphs of diameter two with order greater than \(0.684\) of the Moore bound for any degree. (English) Zbl 1339.05175 Eur. J. Comb. 57, 109-120 (2016). MSC: 05C25 05C12 05C82 PDFBibTeX XMLCite \textit{M. Abas}, Eur. J. Comb. 57, 109--120 (2016; Zbl 1339.05175) Full Text: DOI arXiv
Aronov, Boris; Dulieu, Muriel; Hurtado, Ferran Witness rectangle graphs. (English) Zbl 1298.05091 Graphs Comb. 30, No. 4, 827-846 (2014). MSC: 05C12 05C62 05C69 PDFBibTeX XMLCite \textit{B. Aronov} et al., Graphs Comb. 30, No. 4, 827--846 (2014; Zbl 1298.05091) Full Text: DOI arXiv
Abas, Marcel Cayley graphs of diameter two and any degree with order half of the Moore bound. (English) Zbl 1298.05154 Discrete Appl. Math. 173, 1-7 (2014). MSC: 05C25 05C07 05C12 PDFBibTeX XMLCite \textit{M. Abas}, Discrete Appl. Math. 173, 1--7 (2014; Zbl 1298.05154) Full Text: DOI
Zhou, Sanming Unitary graphs. (English) Zbl 1280.05036 J. Graph Theory 75, No. 1, 37-47 (2014). MSC: 05C12 05C07 PDFBibTeX XMLCite \textit{S. Zhou}, J. Graph Theory 75, No. 1, 37--47 (2014; Zbl 1280.05036) Full Text: DOI arXiv
Balbuena, C.; Miller, M.; Širáň, J.; Ždímalová, M. Large vertex-transitive graphs of diameter 2 from incidence graphs of biaffine planes. (English) Zbl 1277.05049 Discrete Math. 313, No. 19, 2014-2019 (2013). MSC: 05C12 05C07 PDFBibTeX XMLCite \textit{C. Balbuena} et al., Discrete Math. 313, No. 19, 2014--2019 (2013; Zbl 1277.05049) Full Text: DOI
Mesežnikov, Dávid A construction of large graphs of diameter two and given degree from abelian lifts of dipoles. (English) Zbl 1252.05053 Kybernetika 48, No. 3, 518-521 (2012). MSC: 05C12 05C35 PDFBibTeX XMLCite \textit{D. Mesežnikov}, Kybernetika 48, No. 3, 518--521 (2012; Zbl 1252.05053) Full Text: Link
Šiagiová, Jana; Širáň, Jozef Approaching the Moore bound for diameter two by Cayley graphs. (English) Zbl 1237.05101 J. Comb. Theory, Ser. B 102, No. 2, 470-473 (2012). MSC: 05C25 05C05 05C12 PDFBibTeX XMLCite \textit{J. Šiagiová} and \textit{J. Širáň}, J. Comb. Theory, Ser. B 102, No. 2, 470--473 (2012; Zbl 1237.05101) Full Text: DOI
Macbeth, Heather; Šiagiová, Jana; Širáň, Jozef Cayley graphs of given degree and diameter for cyclic, Abelian, and metacyclic groups. (English) Zbl 1232.05091 Discrete Math. 312, No. 1, 94-99 (2012). MSC: 05C25 PDFBibTeX XMLCite \textit{H. Macbeth} et al., Discrete Math. 312, No. 1, 94--99 (2012; Zbl 1232.05091) Full Text: DOI
Macbeth, Heather; Šiagiová, Jana; Širáň, Jozef; Vetrík, Tomáš Large Cayley graphs and vertex-transitive non-Cayley graphs of given degree and diameter. (English) Zbl 1230.05158 J. Graph Theory 64, No. 2, 87-98 (2010). MSC: 05C25 05C07 05C12 PDFBibTeX XMLCite \textit{H. Macbeth} et al., J. Graph Theory 64, No. 2, 87--98 (2010; Zbl 1230.05158) Full Text: DOI
Tomanová, Jana A note on vertex-transitive non-Cayley graphs from Cayley graphs generated by involutions. (English) Zbl 1227.05164 Discrete Math. 310, No. 1, 192-195 (2010). MSC: 05C25 PDFBibTeX XMLCite \textit{J. Tomanová}, Discrete Math. 310, No. 1, 192--195 (2010; Zbl 1227.05164) Full Text: DOI
Gómez, J. Some new large (\(\Delta\),3)-graphs. (English) Zbl 1167.05023 Networks 53, No. 1, 1-5 (2009). MSC: 05C12 05C90 PDFBibTeX XMLCite \textit{J. Gómez}, Networks 53, No. 1, 1--5 (2009; Zbl 1167.05023) Full Text: DOI
Loz, Eyal Graphs of given degree and diameter obtained as abelian lifts of dipoles. (English) Zbl 1229.05096 Discrete Math. 309, No. 10, 3125-3130 (2009). MSC: 05C12 05C25 PDFBibTeX XMLCite \textit{E. Loz}, Discrete Math. 309, No. 10, 3125--3130 (2009; Zbl 1229.05096) Full Text: DOI
Šiagiová, Jana; Vetrík, Tomáš Large vertex-transitive and Cayley graphs with given degree and diameter. (English) Zbl 1291.05087 Hliněný, Petr (ed.) et al., 6th Czech-Slovak international symposium on combinatorics, graph theory, algorithms and applications, DIMATIA Center, Charles University, Prague, Czech Republic, July 10–16, 2006. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 28, 365-369 (2007). MSC: 05C25 05C07 05C12 PDFBibTeX XMLCite \textit{J. Šiagiová} and \textit{T. Vetrík}, Electron. Notes Discrete Math. 28, 365--369 (2007; Zbl 1291.05087) Full Text: DOI
Molodtsov, Sergey G. Largest graphs of diameter 2 and maximum degree 6. (English) Zbl 1158.68434 Ahlswede, Rudolf (ed.) et al., General theory of information transfer and combinatorics. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 21, 365-366 (2005). MSC: 68R10 05-04 PDFBibTeX XMLCite \textit{S. G. Molodtsov}, Electron. Notes Discrete Math. 21, 365--366 (2005; Zbl 1158.68434) Full Text: DOI
Šiagiová, Jana; Širáň, Jozef A note on large Cayley graphs of diameter two and given degree. (English) Zbl 1078.05037 Discrete Math. 305, No. 1-3, 379-382 (2005). MSC: 05C25 05C12 PDFBibTeX XMLCite \textit{J. Šiagiová} and \textit{J. Širáň}, Discrete Math. 305, No. 1--3, 379--382 (2005; Zbl 1078.05037) Full Text: DOI
Hafner, Paul R. Geometric realisation of the graphs of McKay-Miller-Širáň. (English) Zbl 1043.05060 J. Comb. Theory, Ser. B 90, No. 2, 223-232 (2004). Reviewer: Ulrike Baumann (Dresden) MSC: 05C25 05C62 PDFBibTeX XMLCite \textit{P. R. Hafner}, J. Comb. Theory, Ser. B 90, No. 2, 223--232 (2004; Zbl 1043.05060) Full Text: DOI
Hafner, Paul R. The Hoffman-Singleton graph and its automorphisms. (English) Zbl 1021.05046 J. Algebr. Comb. 18, No. 1, 7-12 (2003). MSC: 05C25 PDFBibTeX XMLCite \textit{P. R. Hafner}, J. Algebr. Comb. 18, No. 1, 7--12 (2003; Zbl 1021.05046) Full Text: DOI
Šiagiová, Jana A note on the McKay-Miller-Širáň graphs. (English) Zbl 1024.05039 J. Comb. Theory, Ser. B 81, No. 2, 205-208 (2001). MSC: 05C25 PDFBibTeX XMLCite \textit{J. Šiagiová}, J. Comb. Theory, Ser. B 81, No. 2, 205--208 (2001; Zbl 1024.05039) Full Text: DOI