Tsiovkina, Ludmila Yu. On some vertex-transitive distance-regular antipodal covers of complete graphs. (English) Zbl 1511.05240 Ural Math. J. 8, No. 2, 162-176 (2022). MSC: 05E18 05C25 20D06 20D08 05C12 PDFBibTeX XMLCite \textit{L. Yu. Tsiovkina}, Ural Math. J. 8, No. 2, 162--176 (2022; Zbl 1511.05240) Full Text: DOI MNR
Tardif, Claude Counterexamples to Hedetniemi’s conjecture with large fractional chromatic numbers. (English) Zbl 1498.05107 Graphs Comb. 38, No. 6, Paper No. 171, 7 p. (2022). Reviewer: Stijn Cambie (Nijmegen) MSC: 05C15 05C76 PDFBibTeX XMLCite \textit{C. Tardif}, Graphs Comb. 38, No. 6, Paper No. 171, 7 p. (2022; Zbl 1498.05107) Full Text: DOI
Kabanov, Vladislav V. New versions of the Wallis-Fon-Der-Flaass construction to create divisible design graphs. (English) Zbl 1495.05183 Discrete Math. 345, No. 11, Article ID 113054, 9 p. (2022). MSC: 05C51 05B99 05E30 05C70 PDFBibTeX XMLCite \textit{V. V. Kabanov}, Discrete Math. 345, No. 11, Article ID 113054, 9 p. (2022; Zbl 1495.05183) Full Text: DOI arXiv
Erskine, Grahame; Griggs, Terry; Širáň, Jozef Clique-partitioned graphs. (English) Zbl 1486.05242 Discrete Appl. Math. 314, 238-248 (2022). MSC: 05C70 05C35 PDFBibTeX XMLCite \textit{G. Erskine} et al., Discrete Appl. Math. 314, 238--248 (2022; Zbl 1486.05242) Full Text: DOI arXiv
Crnković, Dean; Rukavina, Sanja; Švob, Andrea On some distance-regular graphs with many vertices. (English) Zbl 1441.05246 J. Algebr. Comb. 51, No. 4, 641-652 (2020). MSC: 05E30 05E18 05C12 PDFBibTeX XMLCite \textit{D. Crnković} et al., J. Algebr. Comb. 51, No. 4, 641--652 (2020; Zbl 1441.05246) Full Text: DOI arXiv
Maksimović, Marija Enumeration of strongly regular graphs on up to 50 vertices having \(S_{3}\) as an automorphism group. (English) Zbl 1423.05197 Symmetry 10, No. 6, Paper No. 212, 11 p. (2018). MSC: 05E30 05C25 PDFBibTeX XMLCite \textit{M. Maksimović}, Symmetry 10, No. 6, Paper No. 212, 11 p. (2018; Zbl 1423.05197) Full Text: DOI
Ahmadidelir, Karim On the non-commuting graph in finite Moufang loops. (English) Zbl 1455.20035 J. Algebra Appl. 17, No. 4, Article ID 1850070, 22 p. (2018). Reviewer: Přemysl Jedlička (Praha) MSC: 20N05 05C25 PDFBibTeX XMLCite \textit{K. Ahmadidelir}, J. Algebra Appl. 17, No. 4, Article ID 1850070, 22 p. (2018; Zbl 1455.20035) Full Text: DOI
Östergård, Patric R. J.; Soicher, Leonard H. There is no McLaughlin geometry. (English) Zbl 1377.05043 J. Comb. Theory, Ser. A 155, 27-41 (2018). MSC: 05C10 05E30 51E12 PDFBibTeX XMLCite \textit{P. R. J. Östergård} and \textit{L. H. Soicher}, J. Comb. Theory, Ser. A 155, 27--41 (2018; Zbl 1377.05043) Full Text: DOI arXiv
Klin, Mikhail H.; Woldar, Andrew J. The strongly regular graph with parameters \((100,22,0,6)\): hidden history and beyond. (English) Zbl 1430.05137 Acta Univ. M. Belii, Ser. Math. 25, 5-62 (2017). Reviewer: Michael Barany (Edinburgh) MSC: 05E30 05C51 05B05 05B07 05-03 01A60 PDFBibTeX XMLCite \textit{M. H. Klin} and \textit{A. J. Woldar}, Acta Univ. M. Belii, Ser. Math. 25, 5--62 (2017; Zbl 1430.05137) Full Text: Link
Klin, Mikhail; Ziv-Av, Matan A non-Schurian coherent configuration on 14 points exists. (English) Zbl 1367.05216 Des. Codes Cryptography 84, No. 1-2, 203-221 (2017). MSC: 05E30 05C25 PDFBibTeX XMLCite \textit{M. Klin} and \textit{M. Ziv-Av}, Des. Codes Cryptography 84, No. 1--2, 203--221 (2017; Zbl 1367.05216) Full Text: DOI
Soicher, Leonard H. The uniqueness of a distance-regular graph with intersection array \(\{32,27,8,1;1,4,27,32\}\) and related results. (English) Zbl 1367.05060 Des. Codes Cryptography 84, No. 1-2, 101-108 (2017). MSC: 05C12 05E45 55-04 PDFBibTeX XMLCite \textit{L. H. Soicher}, Des. Codes Cryptography 84, No. 1--2, 101--108 (2017; Zbl 1367.05060) Full Text: DOI arXiv
Klin, Mikhail; Kriger, Nimrod; Woldar, Andrew On the existence of self-complementary and non-self-complementary strongly regular graphs with Paley parameters. (English) Zbl 1360.05186 J. Geom. 107, No. 2, 329-356 (2016). Reviewer: Matthew Davis (New Concord) MSC: 05E30 05E18 05C30 PDFBibTeX XMLCite \textit{M. Klin} et al., J. Geom. 107, No. 2, 329--356 (2016; Zbl 1360.05186) Full Text: DOI
AbuGhneim, Omar A. All \((64,28,12)\) difference sets and related structures. (English) Zbl 1413.05036 Ars Comb. 125, 271-285 (2016). MSC: 05B10 05C30 PDFBibTeX XMLCite \textit{O. A. AbuGhneim}, Ars Comb. 125, 271--285 (2016; Zbl 1413.05036)
Abdollahi, Alireza; Janbaz, Shahrooz; Jazaeri, Mojtaba Groups all of whose undirected Cayley graphs are determined by their spectra. (English) Zbl 1346.05156 J. Algebra Appl. 15, No. 9, Article ID 1650175, 15 p. (2016). MSC: 05C50 15A18 05C25 PDFBibTeX XMLCite \textit{A. Abdollahi} et al., J. Algebra Appl. 15, No. 9, Article ID 1650175, 15 p. (2016; Zbl 1346.05156) Full Text: DOI arXiv
Gyürki, Štefan Infinite families of directed strongly regular graphs using equitable partitions. (English) Zbl 1343.05069 Discrete Math. 339, No. 12, 2970-2986 (2016). MSC: 05C20 05E30 05C70 PDFBibTeX XMLCite \textit{Š. Gyürki}, Discrete Math. 339, No. 12, 2970--2986 (2016; Zbl 1343.05069) Full Text: DOI arXiv
Corr, Brian P.; Praeger, Cheryl E. Normal edge-transitive Cayley graphs of Frobenius groups. (English) Zbl 1325.05087 J. Algebr. Comb. 42, No. 3, 803-827 (2015). MSC: 05C25 20D10 PDFBibTeX XMLCite \textit{B. P. Corr} and \textit{C. E. Praeger}, J. Algebr. Comb. 42, No. 3, 803--827 (2015; Zbl 1325.05087) Full Text: DOI arXiv
Minchenko, Marsha; Wanless, Ian M. Quartic integral Cayley graphs. (English) Zbl 1328.05090 Ars Math. Contemp. 8, No. 2, 381-408 (2015). Reviewer: Mark E. Watkins (Syracuse) MSC: 05C25 05C50 05C70 05C40 PDFBibTeX XMLCite \textit{M. Minchenko} and \textit{I. M. Wanless}, Ars Math. Contemp. 8, No. 2, 381--408 (2015; Zbl 1328.05090) Full Text: DOI
Araújo, João; Bentz, Wolfram; Janusz, Konieczny The commuting graph of the symmetric inverse semigroup. (English) Zbl 1314.05226 Isr. J. Math. 207, Part 1, 103-149 (2015). MSC: 05E15 05C12 20B30 20M20 20M14 20B35 16Y60 PDFBibTeX XMLCite \textit{J. Araújo} et al., Isr. J. Math. 207, Part 1, 103--149 (2015; Zbl 1314.05226) Full Text: DOI arXiv
Bachoc, Christine; Passuello, Alberto; Thiery, Alain The density of sets avoiding distance 1 in Euclidean space. (English) Zbl 1327.52032 Discrete Comput. Geom. 53, No. 4, 783-808 (2015). Reviewer: László A. Székely (Columbia) MSC: 52C10 90C05 90C27 05C69 PDFBibTeX XMLCite \textit{C. Bachoc} et al., Discrete Comput. Geom. 53, No. 4, 783--808 (2015; Zbl 1327.52032) Full Text: DOI arXiv
Bamberg, John; Devillers, Alice; Fawcett, Joanna B.; Praeger, Cheryl E. Locally triangular graphs and rectagraphs with symmetry. (English) Zbl 1315.05080 J. Comb. Theory, Ser. A 133, 1-28 (2015). MSC: 05C40 05C10 PDFBibTeX XMLCite \textit{J. Bamberg} et al., J. Comb. Theory, Ser. A 133, 1--28 (2015; Zbl 1315.05080) Full Text: DOI arXiv
Soicher, Leonard H. On cliques in edge-regular graphs. (English) Zbl 1302.05082 J. Algebra 421, 260-267 (2015). MSC: 05C30 05C69 PDFBibTeX XMLCite \textit{L. H. Soicher}, J. Algebra 421, 260--267 (2015; Zbl 1302.05082) Full Text: DOI
Abdollahi, Alireza; Jazaeri, Mojtaba Groups all of whose undirected Cayley graphs are integral. (English) Zbl 1282.05063 Eur. J. Comb. 38, 102-109 (2014). MSC: 05C25 PDFBibTeX XMLCite \textit{A. Abdollahi} and \textit{M. Jazaeri}, Eur. J. Comb. 38, 102--109 (2014; Zbl 1282.05063) Full Text: DOI arXiv
Gyürki, Štefan; Mazák, Ján An efficient algorithm for testing goal-minimality of graphs. (English) Zbl 1287.05037 Discrete Appl. Math. 161, No. 10-11, 1632-1634 (2013). MSC: 05C12 05C35 05C85 PDFBibTeX XMLCite \textit{Š. Gyürki} and \textit{J. Mazák}, Discrete Appl. Math. 161, No. 10--11, 1632--1634 (2013; Zbl 1287.05037) Full Text: DOI
Soicher, Leonard H. Designs, groups and computing. (English) Zbl 1268.05029 Detinko, Alla (ed.) et al., Probabilistic group theory, combinatorics, and computing. Lectures from the fifth de Brún workshop on groups, combinatorics, computing, Galway, Ireland, April 11–16, 2011. Berlin: Springer (ISBN 978-1-4471-4813-5/pbk; 978-1-4471-4814-2/ebook). Lecture Notes in Mathematics 2070, 83-107 (2013). MSC: 05B05 05B15 05C25 PDFBibTeX XMLCite \textit{L. H. Soicher}, Lect. Notes Math. 2070, 83--107 (2013; Zbl 1268.05029) Full Text: DOI
Klin, Mikhail; Lauri, Josef; Ziv-Av, Matan Links between two semisymmetric graphs on 112 vertices via association schemes. (English) Zbl 1244.05235 J. Symb. Comput. 47, No. 10, 1175-1191 (2012). MSC: 05E30 05C60 68W30 PDFBibTeX XMLCite \textit{M. Klin} et al., J. Symb. Comput. 47, No. 10, 1175--1191 (2012; Zbl 1244.05235) Full Text: DOI
Klin, Mikhail; Pech, Christian A new construction of antipodal distance regular covers of complete graphs through the use of Godsil-Hensel matrices. (English) Zbl 1245.05136 Ars Math. Contemp. 4, No. 2, 205-243 (2011). Reviewer: Zoltán Halasi (Debrecen) MSC: 05E30 05B20 20B25 05E18 05C63 PDFBibTeX XMLCite \textit{M. Klin} and \textit{C. Pech}, Ars Math. Contemp. 4, No. 2, 205--243 (2011; Zbl 1245.05136) Full Text: DOI
Cameron, Peter J.; Ghosh, Shamik The power graph of a finite group. (English) Zbl 1276.05059 Discrete Math. 311, No. 13, 1220-1222 (2011). MSC: 05C25 PDFBibTeX XMLCite \textit{P. J. Cameron} and \textit{S. Ghosh}, Discrete Math. 311, No. 13, 1220--1222 (2011; Zbl 1276.05059) Full Text: DOI
Fang, Xingui; Ma, Xuesong; Wang, Jie On locally primitive Cayley graphs of finite simple groups. (English) Zbl 1232.05090 J. Comb. Theory, Ser. A 118, No. 3, 1039-1051 (2011). MSC: 05C25 20D05 PDFBibTeX XMLCite \textit{X. Fang} et al., J. Comb. Theory, Ser. A 118, No. 3, 1039--1051 (2011; Zbl 1232.05090) Full Text: DOI
Duncan, David M.; Hoffman, Thomas R.; Solazzo, James P. Numerical measures for two-graphs. (English) Zbl 1213.05165 Rocky Mt. J. Math. 41, No. 1, 133-154 (2011). MSC: 05C50 05C90 PDFBibTeX XMLCite \textit{D. M. Duncan} et al., Rocky Mt. J. Math. 41, No. 1, 133--154 (2011; Zbl 1213.05165) Full Text: DOI arXiv
Araújo, João; Kinyon, Michael; Konieczny, Janusz Minimal paths in the commuting graphs of semigroups. (English) Zbl 1227.05161 Eur. J. Comb. 32, No. 2, 178-197 (2011). MSC: 05C25 20M20 05C38 05C35 PDFBibTeX XMLCite \textit{J. Araújo} et al., Eur. J. Comb. 32, No. 2, 178--197 (2011; Zbl 1227.05161) Full Text: DOI arXiv
Pogorelov, B. A.; Pudovkina, M. A. Properties of graphs of orbitals for overgroups of the Jevons group. (Russian. English summary) Zbl 1469.05166 Mat. Vopr. Kriptografii 1, No. 1, 55-83 (2010). MSC: 05E30 05C12 PDFBibTeX XMLCite \textit{B. A. Pogorelov} and \textit{M. A. Pudovkina}, Mat. Vopr. Kriptografii 1, No. 1, 55--83 (2010; Zbl 1469.05166) Full Text: DOI MNR
Bailey, Robert F.; Stevens, Brett Hamiltonian decompositions of complete \(k\)-uniform hypergraphs. (English) Zbl 1221.05253 Discrete Math. 310, No. 22, 3088-3095 (2010). MSC: 05C65 05C45 05C70 PDFBibTeX XMLCite \textit{R. F. Bailey} and \textit{B. Stevens}, Discrete Math. 310, No. 22, 3088--3095 (2010; Zbl 1221.05253) Full Text: DOI
Klin, Mikhail; Reichard, Sven; Woldar, Andrew Siamese combinatorial objects via computer algebra experimentation. (English) Zbl 1200.05084 Klin, Mikhail (ed.) et al., Algorithmic algebraic combinatorics and Gröbner bases. Dordrecht: Springer (ISBN 978-3-642-01959-3/hbk; 978-3-642-01960-9/ebook). 67-112 (2009). MSC: 05C15 05E30 05B05 68W30 PDFBibTeX XMLCite \textit{M. Klin} et al., in: Algorithmic algebraic combinatorics and Gröbner bases. Dordrecht: Springer. 67--112 (2009; Zbl 1200.05084)
Boykett, Tim Orderly algorithm to enumerate central groupoids and their graphs. (English) Zbl 1117.05054 Acta Math. Sin., Engl. Ser. 23, No. 2, 249-264 (2007). MSC: 05C30 05C38 05C50 05C12 68R10 PDFBibTeX XMLCite \textit{T. Boykett}, Acta Math. Sin., Engl. Ser. 23, No. 2, 249--264 (2007; Zbl 1117.05054) Full Text: DOI arXiv
Monson, Barry; Weiss, Asia Ivić Medial layer graphs of equivelar 4-polytopes. (English) Zbl 1110.52016 Eur. J. Comb. 28, No. 1, 43-60 (2007). Reviewer: Wolfgang Kühnel (Stuttgart) MSC: 52B15 05C25 51M20 20F55 PDFBibTeX XMLCite \textit{B. Monson} and \textit{A. I. Weiss}, Eur. J. Comb. 28, No. 1, 43--60 (2007; Zbl 1110.52016) Full Text: DOI
Fiala, Nick C.; Haemers, Willem H. 5-chromatic strongly regular graphs. (English) Zbl 1105.05074 Discrete Math. 306, No. 23, 3083-3096 (2006). MSC: 05E30 05C15 05C50 PDFBibTeX XMLCite \textit{N. C. Fiala} and \textit{W. H. Haemers}, Discrete Math. 306, No. 23, 3083--3096 (2006; Zbl 1105.05074) Full Text: DOI Link
Soicher, Leonard H. Computing with graphs and groups. (English) Zbl 1067.05036 Beineke, Lowell W. (ed.) et al., Topics in algebraic graph theory. Cambridge: Cambridge University Press (ISBN 0-521-80197-4/hbk). Encyclopedia of Mathematics and Its Applications 102, 250-266 (2004). MSC: 05C25 05E30 PDFBibTeX XMLCite \textit{L. H. Soicher}, Encycl. Math. Appl. 102, 250--266 (2004; Zbl 1067.05036)
Mansilla, Sònia P.; Serra, Oriol Automorphism groups of \(k\)-arc transitive covers. (English) Zbl 1035.05049 Discrete Math. 276, No. 1-3, 273-285 (2004). Reviewer: Josep M. Brunat Blay (Barcelona) MSC: 05C25 05C20 PDFBibTeX XMLCite \textit{S. P. Mansilla} and \textit{O. Serra}, Discrete Math. 276, No. 1--3, 273--285 (2004; Zbl 1035.05049) Full Text: DOI
Lauri, Josef; Scapellato, Raffaele Topics in graph automorphisms and reconstruction. (English) Zbl 1038.05025 London Mathematical Society Student Texts 54. Cambridge: Cambridge University Press (ISBN 0-521-82151-7/hbk; 0-521-52903-4/pbk). xii, 159 p. (2003). Reviewer: Mark E. Watkins (Syracuse) MSC: 05C25 05C60 05-01 PDFBibTeX XMLCite \textit{J. Lauri} and \textit{R. Scapellato}, Topics in graph automorphisms and reconstruction. Cambridge: Cambridge University Press (2003; Zbl 1038.05025)
Hansen, Pierre; Mélot, Hadrien Computers and discovery in algebraic graph theory. (English) Zbl 1015.05087 Linear Algebra Appl. 356, No. 1-3, 211-230 (2002). MSC: 05C85 PDFBibTeX XMLCite \textit{P. Hansen} and \textit{H. Mélot}, Linear Algebra Appl. 356, No. 1--3, 211--230 (2002; Zbl 1015.05087) Full Text: DOI
Miller, Alice Ann; Praeger, Cheryl E. Non-Cayley vertex-transitive graphs of order twice the product of two odd primes. (English) Zbl 0794.05046 J. Algebr. Comb. 3, No. 1, 77-111 (1994). Reviewer: M.E.Watkins (Syracuse) MSC: 05C25 05E15 PDFBibTeX XMLCite \textit{A. A. Miller} and \textit{C. E. Praeger}, J. Algebr. Comb. 3, No. 1, 77--111 (1994; Zbl 0794.05046) Full Text: DOI
Soicher, Leonard H. GRAPE: A system for computing with graphs and groups. (English) Zbl 0833.05071 Finkelstein, Larry (ed.) et al., Groups and computation. Papers from the workshop held at DIMACS, Rutgers University, New Brunswick, NJ (USA), October 7-10, 1991. Providence, RI: American Mathematical Society. DIMACS, Ser. Discrete Math. Theor. Comput. Sci. 11, 287-291 (1993). Reviewer: A.Bonisoli (Potenza) MSC: 05C85 05C25 20B40 68R10 PDFBibTeX XMLCite \textit{L. H. Soicher}, DIMACS, Ser. Discrete Math. Theor. Comput. Sci. 11, 287--291 (1993; Zbl 0833.05071)