Edit Profile (opens in new tab) Širáň, Jozef Co-Author Distance Author ID: siran.jozef Published as: Širáň, Jozef; Širáň, J.; Siran, Jozef; Širán, Jozef; Siran, J.; Širán, J.; Širáň, Josef more...less Homepage: http://www-kmadg.svf.stuba.sk/siran/ External Links: MGP · Google Scholar · dblp · GND Documents Indexed: 183 Publications since 1980, including 5 Additional arXiv Preprints 5 Contributions as Editor · 1 Further Contribution Reviewing Activity: 284 Reviews Co-Authors: 103 Co-Authors with 164 Joint Publications 3,216 Co-Co-Authors all top 5 Co-Authors 25 single-authored 18 Griggs, Terry S. 15 Miller, Mirka 14 Škoviera, Martin 12 Archdeacon, Dan Steven 11 Conder, Marston Donald Edward 10 Bonnington, C. Paul 10 Jajcay, Robert 9 Grannell, Michael John 9 Horák, Peter 9 Pavlíková, Soňa 9 Richter, Robert Bruce 9 Šiagiová, Jana 8 Mačaj, Martin 7 Branković, Ljiljana 7 Rosa, Alexander 6 Erskine, Grahame 5 Gvozdjak, Pavol 5 Knor, Martin 5 Potočnik, Primož 5 Tucker, Thomas W. 4 Baskoro, Edy Tri 4 Dalfó, Cristina 4 Fiol, Miquel Angel 4 Hahn, Gena 4 Nedela, Roman 4 Plesník, Ján 4 Ryan, Joe 3 Fronček, Dalibor 3 Ipolyiová, Mária 3 Li, Caiheng 3 Wang, Yan 3 Watkins, Mark E. 2 Bachratý, Martin 2 Bodendiek, Rainer 2 Breda d’Azevedo, Antonio J. 2 Exoo, Geoffrey 2 Jones, Gareth A. 2 Korzhik, Vladimir P. 2 Kwon, Young Soo 2 Lladser, Manuel E. 2 Loz, Eyal 2 Macbeth, Heather R. 2 Olejár, Marián 2 Reade, Olivia 2 Šeliga, Adam 2 Šipošová, Alexandra 2 Tuza, Zsolt 2 Wilson, Mark Curtis 1 Aldred, Robert E. L. 1 Asciak, Kirstie 1 Balbuena, Camino 1 Bennett, G. Kemble 1 Bertram, Edward Arthur 1 Brunet, Richard 1 Burosch, Gustav 1 Catalano, Domenico A. 1 Colbourn, Charles J. 1 Dinitz, Jeffrey H. 1 Dutour-Sikiric, Mathieu 1 Erdős, Pál 1 Fleischner, Herbert J. 1 Forbes, Anthony D. 1 Fraser, Jay 1 Fratrič, Peter 1 Gardiner, Anthony D. 1 Gimbert, Joan 1 Goddyn, Luis A. 1 Gyürki, Štefan 1 Hartsfield, Nora 1 Hriňáková, Katarína 1 Hucíková, Veronika 1 Jeans, Olivia Reade 1 Kratochvíl, Jan 1 Laviolette, François 1 McCourt, Thomas A. 1 McKay, Brendan D. 1 Mendelsohn, Eric 1 Nakamoto, Atsuhiro 1 Negami, Seiya 1 Niepel, Ľudovít 1 Ota, Katsuhiro 1 Ponomarenko, Ilya Nikolaevich 1 Porubsky, Stefan 1 Psomas, Constantinos 1 Ryjáček, Zdeněk 1 Sauer, Norbert W. 1 Serra, Oriol 1 Ševčovič, Daniel 1 Seymour, Paul D. 1 Shim, Sangho 1 Simanjuntak, Rinovia 1 Šipeky, Ladislav 1 Širáň, Martin 1 Škrekovski, Riste 1 Slamin, Slamin 1 Sotteau, Dominique 1 Staneková, Ľubica 1 Sutton, Martin 1 Tomanová, Jana 1 Vetrík, Tomáš ...and 7 more Co-Authors all top 5 Serials 27 Discrete Mathematics 19 Journal of Graph Theory 18 Journal of Combinatorial Theory. Series B 12 The Australasian Journal of Combinatorics 8 Ars Mathematica Contemporanea 7 Mathematica Slovaca 5 European Journal of Combinatorics 5 Acta Mathematica Universitatis Comenianae. New Series 4 Bulletin of the London Mathematical Society 4 Journal of Algebraic Combinatorics 3 Discrete Applied Mathematics 3 Ars Combinatoria 3 Glasgow Mathematical Journal 3 Journal of Algebra 3 Mathematische Nachrichten 3 Graphs and Combinatorics 3 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 3 Journal of Combinatorial Designs 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Transactions of the American Mathematical Society 2 The Electronic Journal of Combinatorics 2 AKCE International Journal of Graphs and Combinatorics 2 Iranian Journal of Fuzzy Systems 2 Springer Proceedings in Mathematics & Statistics 1 Communications in Algebra 1 Linear and Multilinear Algebra 1 Periodica Mathematica Hungarica 1 Zastosowania Matematyki 1 Fuzzy Sets and Systems 1 Geometriae Dedicata 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the London Mathematical Society. Third Series 1 Yokohama Mathematical Journal 1 International Journal of Computer Mathematics 1 Journal of the Australian Mathematical Society. Series A 1 Linear Algebra and its Applications 1 Congressus Numerantium 1 Bulletin of the Institute of Combinatorics and its Applications 1 Annals of Combinatorics 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Australian Mathematical Society 1 Journal of Mahani Mathematical Research Center 1 The Art of Discrete and Applied Mathematics all top 5 Fields 175 Combinatorics (05-XX) 28 Group theory and generalizations (20-XX) 20 Manifolds and cell complexes (57-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 4 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Computer science (68-XX) 2 Real functions (26-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 147 Publications have been cited 1,278 times in 757 Documents Cited by ▼ Year ▼ On the injective chromatic number of graphs. Zbl 1007.05046 Hahn, Geňa; Kratochvíl, Jan; Širáň, Jozef; Sotteau, Dominique 85 2002 Moore graphs and beyond: a survey of the degree/diameter problem. Zbl 1079.05043 Miller, Mirka; Širáň, Jozef 70 2005 Characterisation of graphs which underlie regular maps on closed surfaces. Zbl 0940.05037 Gardiner, A.; Nedela, R.; Širáň, J.; Škoviera, M. 50 1999 Skew-morphisms of regular Cayley maps. Zbl 0988.05047 Jajcay, Robert; Širáň, Jozef 49 2002 Regular maps from Cayley graphs. I: Balanced Cayley maps. Zbl 0782.05028 Škoviera, Martin; Širáň, Jozef 48 1992 Cayley maps. Zbl 1079.05029 Richter, R. Bruce; Širáň, Jozef; Jajcay, Robert; Tucker, Thomas W.; Watkins, Mark E. 47 2005 Exponential families of non-isomorphic triangulations of complete graphs. Zbl 1023.05041 Bonnington, C. Paul; Grannell, M. J.; Griggs, T. S.; Širáň, J. 39 2000 Realizing finite edge-transitive orientable maps. Zbl 0989.05027 Širáň, Jozef; Tucker, Thomas W.; Watkins, Mark E. 29 2001 A note on large graphs of diameter two and given maximum degree. Zbl 0911.05031 McKay, Brendan D.; Miller, Mirka; Širáň, Jozef 27 1998 The genera, reflexibility and simplicity of regular maps. Zbl 1221.05197 Conder, Marston D. E.; Širáň, Jozef; Tucker, Thomas W. 26 2010 Recursive constructions for triangulations. Zbl 0999.05021 Grannell, M. J.; Griggs, T. S.; Širáň, J. 25 2002 Regular maps from Cayley graphs. II: Antibalanced Cayley maps. Zbl 0791.05031 Širáň, Jozef; Škoviera, Martin 25 1994 Regular hypermaps over projective linear groups. Zbl 1181.57003 Conder, Marston; Potočnik, Primož; Širáň, Jozef 23 2008 Constructing and forbidding automorphisms in lifted maps. Zbl 1053.05503 Archdeacon, Dan; Gvozdjak, Pavol; Širáň, Jozef 20 1997 The existence of selfcomplementary circulant graphs. Zbl 0869.05036 Fronček, Dalibor; Rosa, Alexander; Širáň, Jozef 20 1996 Surface embeddings of Steiner triple systems. Zbl 0916.05009 Grannell, M. J.; Griggs, T. S.; Širáň, Jozef 19 1998 How symmetric can maps on surfaces be? Zbl 1301.05323 Širáň, Jozef 19 2013 Face 2-colourable triangular embeddings of complete graphs. Zbl 0914.05019 Grannell, M. J.; Griggs, T. S.; Širáň, Jozef 18 1998 Classification of regular maps of negative prime Euler characteristic. Zbl 1065.05033 Breda d’Azevedo, Antonio; Nedela, Roman; Širáň, Jozef 17 2005 Large Cayley graphs and vertex-transitive non-Cayley graphs of given degree and diameter. Zbl 1230.05158 Macbeth, Heather; Šiagiová, Jana; Širáň, Jozef; Vetrík, Tomáš 17 2010 Search for properties of the missing Moore graph. Zbl 1217.05149 Mačaj, Martin; Širáň, Jozef 16 2010 Coverings of graphs and maps, orthogonality, and eigenvectors. Zbl 0990.05068 Širáň, Jozef 15 2001 Bipartite labelings of trees and the gracesize. Zbl 0818.05054 Rosa, Alexander; Širáň, Jozef 14 1995 Complete characterization of almost Moore digraphs of degree three. Zbl 1060.05036 Baskoro, Edy Tri; Miller, Mirka; Širáň, Jozef; Sutton, Martin 14 2005 Infinite families of crossing-critical graphs with a given crossing number. Zbl 0535.05026 Širáň, Jozef 13 1984 Triangle group representations and constructions of regular maps. Zbl 1015.05033 Širáň, Jozef 13 2001 Almost Moore digraphs are diregular. Zbl 0942.05026 Miller, Mirka; Gimbert, Joan; Širáň, Jozef; Slamin 12 2000 Cayley graphs of given degree and diameter for cyclic, Abelian, and metacyclic groups. Zbl 1232.05091 Macbeth, Heather; Šiagiová, Jana; Širáň, Jozef 12 2012 A note on the number of graceful labellings of paths. Zbl 1008.05132 Aldred, R. E. L.; Širáň, Jozef; Širáň, Martin 12 2003 Regular maps whose groups do not act faithfully on vertices, edges, or faces. Zbl 1056.05078 Li, Cai Heng; Širáň, Jozef 12 2005 Characterization of the maximum genus of a signed graph. Zbl 0742.05037 Širáň, Jozef; Škoviera, Martin 12 1991 Triangular embeddings of complete graphs from graceful labellings of paths. Zbl 1247.05205 Goddyn, Luis; Richter, R. Bruce; Širáň, Jozef 11 2007 Regular maps with almost Sylow-cyclic automorphism groups, and classification of regular maps with Euler characteristic \(-p^{2}\). Zbl 1225.05123 Conder, Marston; Potočnik, Primož; Širáň, Jozef 11 2010 Approaching the Moore bound for diameter two by Cayley graphs. Zbl 1237.05101 Šiagiová, Jana; Širáň, Jozef 11 2012 The spectra of lifted digraphs. Zbl 1429.05083 Dalfó, C.; Fiol, M. A.; Širáň, J. 11 2019 Regular maps on a given surface: a survey. Zbl 1117.05024 Širán, Jozef 10 2006 Circular embedding of planar graphs in nonspherical surfaces. Zbl 0798.05020 Richter, R. B.; Seymour, P. D.; Širáň, J. 10 1994 Branched coverings of maps and lifts of map homomorphisms. Zbl 0804.05025 Archdeacon, Dan; Richter, R. Bruce; Širáň, Jozef; Škoviera, Martin 10 1994 Relative embeddings of graphs on closed surfaces. Zbl 0646.05024 Širáň, Jozef; Škoviera, Martin 9 1988 Small vertex-transitive and Cayley graphs of girth six and given degree: An algebraic approach. Zbl 1234.05121 Loz, Eyal; Mačaj, Martin; Miller, Mirka; Šiagiová, Jana; Širáň, Jozef; Tomanová, Jana 9 2011 Obstructions to directed embeddings of Eulerian digraphs in the plane. Zbl 1052.05026 Bonnington, C. Paul; Hartsfield, Nora; Širáň, Jozef 9 2004 A note on large Cayley graphs of diameter two and given degree. Zbl 1078.05037 Šiagiová, Jana; Širáň, Jozef 9 2005 Reflexibility of regular Cayley maps for Abelian groups. Zbl 1184.05060 Conder, Marston D. E.; Kwon, Young Soo; Širáň, Jozef 9 2009 Anti-mitre Steiner triple systems. Zbl 0815.05017 Colbourn, Charles J.; Mendelsohn, Eric; Rosa, Alexander; Širáň, Jozef 9 1994 New record graphs in the degree-diameter problem. Zbl 1178.05038 Loz, Eyal; Širáň, Jozef 9 2008 A note on constructing large Cayley graphs of given degree and diameter by voltage assignments. Zbl 0885.05071 Branković, Ljiljana; Miller, Mirka; Plesník, Ján; Ryan, Joe; Širáň, Jozef 8 1998 Groups with sign structure and their antiautomorphisms. Zbl 0806.20025 Širáň, Jozef; Škoviera, Martin 8 1992 Trinity symmetry and kaleidoscopic regular maps. Zbl 1300.05178 Archdeacon, Dan; Conder, Marston; Širáň, Jozef 8 2014 An algebraic approach to lifts of digraphs. Zbl 1421.05048 Dalfó, C.; Fiol, M. A.; Miller, M.; Ryan, J.; Širáň, J. 8 2019 The crossing number of \(K_{3,n}\) in a surface. Zbl 0838.05033 Richter, R. Bruce; Širán, J. 7 1996 Small vertex-transitive graphs of given degree and girth. Zbl 1237.05098 Jajcay, Robert; Širáň, Jozef 7 2011 Triangulations of orientable surfaces by complete tripartite graphs. Zbl 1099.05025 Grannell, M. J.; Griggs, T. S.; Knor, M.; Širáň, J. 7 2006 Oriented relative embeddings of graphs. Zbl 0736.05035 Škoviera, M.; Širáň, J. 7 1987 End-faithful forests and spanning trees in infinite graphs. Zbl 0763.05034 Širáň, Jozef 7 1991 Regular maps from voltage assignments. Zbl 0791.05025 Gvozdjak, Pavol; Širáň, Jozef 7 1993 Inverting non-invertible labeled trees. Zbl 1429.05184 Pavlíková, Soňa; Širáň, Jozef 7 2019 Hamiltonian embeddings from triangulations. Zbl 1123.05032 Grannell, Mike J.; Griggs, Terry S.; Širáň, Jozef 6 2007 Self-dual and self-Petrie-dual regular maps. Zbl 1242.05076 Richter, R. Bruce; Širáň, Jozef; Wang, Yan 6 2012 Chiral maps of given hyperbolic type. Zbl 1331.05234 Conder, Marston D. E.; Hucíková, Veronika; Nedela, Roman; Širáň, Jozef 6 2016 Graphs, 0-1 matrices, and usability of statistical databases. Zbl 0901.05071 Branković, Ljiljana; Miller, Mirka; Širáň, Jozef 5 1996 Maximum genus embeddings of Steiner triple systems. Zbl 1056.05022 Grannell, Mike J.; Griggs, Terry S.; Širáň, Jozef 5 2005 Orientable and non-orientable maps with given automorphism groups. Zbl 0777.05054 Širáň, Jozef; Škoviera, Martin 5 1993 Spectra and eigenspaces of arbitrary lifts of graphs. Zbl 1477.05103 Dalfó, C.; Fiol, M. A.; Pavlíková, S.; Širáň, J. 5 2021 The crossing function of a graph. Zbl 0498.05026 Siran, Jozef 4 1983 Additivity of the crossing number of graphs with connectivity 2. Zbl 0527.05029 Širáň, J. 4 1984 Edges and Kuratowski subgraphs of non-planar graphs. Zbl 0539.05028 Širáň, Jozef 4 1983 A construction of vertex-transitive non-Cayley graphs. Zbl 0820.05030 Jajcay, Robert; Širáň, Jozef 4 1994 Self-dual regular maps from medial graphs. Zbl 0823.05026 Archdeacon, D.; Širáň, J.; Škoviera, M. 4 1992 Hyperbolic analogues of fullerenes on orientable surfaces. Zbl 1239.05184 Dutour Sikirić, M.; Knor, M.; Potočnik, P.; Širáň, J.; Škrekovski, R. 4 2012 Symmetric maps. Zbl 1201.05022 Širáň, Jozef; Tucker, Thomas W. 4 2009 On the existence of aggregation functions with given super-additive and sub-additive transformations. Zbl 1380.68363 Šipošová, Alexandra; Šipeky, Ladislav; Širáň, Jozef 4 2017 Digraphs of degree two which miss the Moore bound by two. Zbl 0959.05054 Miller, Mirka; Širáň, Jozef 4 2001 Bipartite labeling of trees with maximum degree three. Zbl 0918.05089 Bonnington, C. Paul; Širáň, Jozef 4 1999 On range query usability of statistical databases. Zbl 1008.62005 Branković, Ljiljana; Miller, Mirka; Širáň, Jozef 4 2002 Labellings of trees with maximum degree three – an improved bound. Zbl 1109.05095 Brankovic, Ljiljana; Rosa, Alex; Širán, Jozef 4 2005 Möbius regular maps. Zbl 1106.05033 Li, Cai Heng; Širáň, Jozef 4 2007 Duke’s theorem does not extend to signed graph embeddings. Zbl 0742.05036 Širáň, Jozef 4 1991 Kuratowski-type theorems do not extend to pseudosurfaces. Zbl 0766.05023 Širáň, Jozef; Gvozdjak, Pavol 4 1992 Extremal graphs of diameter two and given maximum degree, embeddable in a fixed surface. Zbl 0862.05072 Knor, Martin; Širáň, Jozef 4 1997 Edge-ends in countable graphs. Zbl 0873.05038 Hahn, Geňa; Laviolette, François; Širáň, Jozef 4 1997 Polarity graphs revisited. Zbl 1317.05085 Bachratý, Martin; Širáň, Jozef 4 2015 Cayley cages. Zbl 1269.05053 Exoo, Geoffrey; Jajcay, Robert; Širáň, Jozef 4 2013 Bi-rotary maps of negative prime characteristic. Zbl 1414.05090 d’Azevedo, Antonio Breda; Catalano, Domenico A.; Širáň, Jozef 4 2019 Classification of regular maps of Euler characteristic \(-3p\). Zbl 1244.05072 Conder, Marston; Nedela, Roman; Širáň, Jozef 3 2012 Three remarks on end-faithfulness. Zbl 0845.05031 Hahn, Geňa; Širáň, Jozef 3 1993 Characterizing planarity using theta graphs. Zbl 0887.05016 Archdeacon, Dan; Širáň, Josef 3 1998 Trading crossings for handles and crosscaps. Zbl 0994.05056 Archdeacon, Dan; Bonnington, C. Paul; Širáň, Jozef 3 2001 Large graphs with small degree and diameter: A voltage assignment approach. Zbl 0929.05040 Branković, Ljiljana; Miller, Mirka; Plesník, Ján; Ryan, Joe; Širáň, Jozef 3 1998 Planar triangulations which quadrangulate other surfaces. Zbl 1050.05037 Nakamoto, Atsuhiro; Negami, Seiya; Ota, Katsuhiro; Širáň, Jozef 3 2004 A new lower bound for the inducibility of a graph. Zbl 0612.05038 Širáň, Jozef 3 1984 On a construction of Thomassen. Zbl 0612.05041 Horák, Peter; Širáň, Jozef 3 1986 More constructions of vertex-transitive non-Cayley graphs based on counting closed walks. Zbl 0872.05018 Jajcay, Robert; Širáň, Jozef 3 1996 Decomposing cubes. Zbl 0878.05069 Horák, P.; Širáň, J.; Wallis, W. 3 1996 Large digraphs with small diameter: A voltage assignment approach. Zbl 0884.05046 Baskoro, Edy Tri; Branković, Ljiljana; Miller, Mirka; Plesník, Ján; Ryan, Joe; Širáň, Jozef 3 1997 Nonorientable regular maps over linear fractional groups. Zbl 1301.05087 Jones, Gareth A.; Mačaj, Martin; Širáň, Jozef 3 2013 Counterexamples to the uniform shortest path routing conjecture for vertex-transitive graphs. Zbl 1019.90013 Shim, Sangho; Širáň, Jozef; Žerovnik, Janez 3 2002 Orientably-regular maps on twisted linear fractional groups. Zbl 1442.05084 Erskine, Grahame; Hriňáková, Katarína; Širáň, Jozef 3 2020 Large vertex-transitive graphs of diameter 2 from incidence graphs of biaffine planes. Zbl 1277.05049 Balbuena, C.; Miller, M.; Širáň, J.; Ždímalová, M. 3 2013 Regular self-dual and self-Petrie-dual maps of arbitrary valency. Zbl 1416.05137 Fraser, Jay; Jeans, Olivia; Širáň, Jozef 3 2019 Characterization of graphs which admit vertex-transitive embeddings. Zbl 1121.05036 Širáň, Jozef; Tucker, Thomas W. 2 2007 On the spectra and eigenspaces of the universal adjacency matrices of arbitrary lifts of graphs. Zbl 1512.05259 Dalfó, C.; Fiol, M. A.; Pavlíková, S.; Širáň, J. 2 2023 Enumeration of regular maps of given type on twisted linear fractional groups. Zbl 07738093 Mačaj, Martin; Pavlíková, Soňa; Širáň, Jozef 1 2023 Characters of twisted fractional linear groups. Zbl 1521.20020 Pavlíková, Soňa; Širáň, Jozef 1 2022 Classifying edge-biregular maps of negative prime Euler characteristic. Zbl 07612290 Reade, Olivia; Širáň, Jozef 1 2022 Spectra and eigenspaces of arbitrary lifts of graphs. Zbl 1477.05103 Dalfó, C.; Fiol, M. A.; Pavlíková, S.; Širáň, J. 5 2021 Orientably-regular maps on twisted linear fractional groups. Zbl 1442.05084 Erskine, Grahame; Hriňáková, Katarína; Širáň, Jozef 3 2020 On the upper embedding of symmetric configurations with block size 3. Zbl 1433.05048 Erskine, Grahame; Griggs, Terry; Širáň, Jozef 2 2020 Continuity of super- and sub-additive transformations of continuous functions. Zbl 1458.26017 Seliga, A.; Siran, J. 1 2020 The spectra of lifted digraphs. Zbl 1429.05083 Dalfó, C.; Fiol, M. A.; Širáň, J. 11 2019 An algebraic approach to lifts of digraphs. Zbl 1421.05048 Dalfó, C.; Fiol, M. A.; Miller, M.; Ryan, J.; Širáň, J. 8 2019 Inverting non-invertible labeled trees. Zbl 1429.05184 Pavlíková, Soňa; Širáň, Jozef 7 2019 Bi-rotary maps of negative prime characteristic. Zbl 1414.05090 d’Azevedo, Antonio Breda; Catalano, Domenico A.; Širáň, Jozef 4 2019 Regular self-dual and self-Petrie-dual maps of arbitrary valency. Zbl 1416.05137 Fraser, Jay; Jeans, Olivia; Širáň, Jozef 3 2019 Lifting continuity properties of aggregation functions to their super- and sub-additive transformations. Zbl 1513.26018 Šeliga, Adam; Šipošová, Alexandra; Širáň, Jozef 2 2019 On the defect of vertex-transitive graphs of given degree and diameter. Zbl 1402.05038 Exoo, Geoffrey; Jajcay, Robert; Mačaj, Martin; Širáň, Jozef 2 2019 Regular and orientably-regular maps with quasiprimitive automorphism groups on vertices. Zbl 1426.05178 Jajcay, Robert; Li, Cai-Heng; Širáň, Jozef; Wang, Yan 1 2019 Asymptotically approaching the Moore bound for diameter three by Cayley graphs. Zbl 1402.05097 Bachratý, Martin; Šiagiová, Jana; Širáň, Jozef 1 2019 Maximum genus embeddings of Latin squares. Zbl 1384.05056 Griggs, Terry S.; Psomas, Constantinos; Širáň, Jozef 2 2018 On the existence of aggregation functions with given super-additive and sub-additive transformations. Zbl 1380.68363 Šipošová, Alexandra; Šipeky, Ladislav; Širáň, Jozef 4 2017 Chiral maps of given hyperbolic type. Zbl 1331.05234 Conder, Marston D. E.; Hucíková, Veronika; Nedela, Roman; Širáň, Jozef 6 2016 Orientably-regular maps with given exponent group. Zbl 1372.57036 Conder, Marston; Širáň, Jozef 2 2016 Polarity graphs revisited. Zbl 1317.05085 Bachratý, Martin; Širáň, Jozef 4 2015 Trinity symmetry and kaleidoscopic regular maps. Zbl 1300.05178 Archdeacon, Dan; Conder, Marston; Širáň, Jozef 8 2014 Regular pinched maps. Zbl 1296.05052 Archdeacon, Dan; Bonnington, C. Paul; Širáň, Jozef 2 2014 Smallest vertex-transitive graphs of given degree and diameter. Zbl 1280.05066 Knor, Martin; Širáň, Jozef 2 2014 How symmetric can maps on surfaces be? Zbl 1301.05323 Širáň, Jozef 19 2013 Cayley cages. Zbl 1269.05053 Exoo, Geoffrey; Jajcay, Robert; Širáň, Jozef 4 2013 Nonorientable regular maps over linear fractional groups. Zbl 1301.05087 Jones, Gareth A.; Mačaj, Martin; Širáň, Jozef 3 2013 Large vertex-transitive graphs of diameter 2 from incidence graphs of biaffine planes. Zbl 1277.05049 Balbuena, C.; Miller, M.; Širáň, J.; Ždímalová, M. 3 2013 Cayley graphs of given degree and diameter for cyclic, Abelian, and metacyclic groups. Zbl 1232.05091 Macbeth, Heather; Šiagiová, Jana; Širáň, Jozef 12 2012 Approaching the Moore bound for diameter two by Cayley graphs. Zbl 1237.05101 Šiagiová, Jana; Širáň, Jozef 11 2012 Self-dual and self-Petrie-dual regular maps. Zbl 1242.05076 Richter, R. Bruce; Širáň, Jozef; Wang, Yan 6 2012 Hyperbolic analogues of fullerenes on orientable surfaces. Zbl 1239.05184 Dutour Sikirić, M.; Knor, M.; Potočnik, P.; Širáň, J.; Škrekovski, R. 4 2012 Classification of regular maps of Euler characteristic \(-3p\). Zbl 1244.05072 Conder, Marston; Nedela, Roman; Širáň, Jozef 3 2012 Random Cayley digraphs of diameter 2 and given degree. Zbl 1283.05251 Lladser, Manuel E.; Potocnik, Primoz; Širáň, Jozef; Wilson, Mark C. 2 2012 Imprimitivity of locally finite, 1-ended, planar graphs. Zbl 1258.05051 Watkins, Mark E.; Širáň, Jozef 1 2012 Small vertex-transitive and Cayley graphs of girth six and given degree: An algebraic approach. Zbl 1234.05121 Loz, Eyal; Mačaj, Martin; Miller, Mirka; Šiagiová, Jana; Širáň, Jozef; Tomanová, Jana 9 2011 Small vertex-transitive graphs of given degree and girth. Zbl 1237.05098 Jajcay, Robert; Širáň, Jozef 7 2011 Reflexible regular maps with no non-trivial exponents from residual finiteness. Zbl 1245.05064 Širáň, Jozef; Staneková, Ľubica; Olejár, Marián 2 2011 The genera, reflexibility and simplicity of regular maps. Zbl 1221.05197 Conder, Marston D. E.; Širáň, Jozef; Tucker, Thomas W. 26 2010 Large Cayley graphs and vertex-transitive non-Cayley graphs of given degree and diameter. Zbl 1230.05158 Macbeth, Heather; Šiagiová, Jana; Širáň, Jozef; Vetrík, Tomáš 17 2010 Search for properties of the missing Moore graph. Zbl 1217.05149 Mačaj, Martin; Širáň, Jozef 16 2010 Regular maps with almost Sylow-cyclic automorphism groups, and classification of regular maps with Euler characteristic \(-p^{2}\). Zbl 1225.05123 Conder, Marston; Potočnik, Primož; Širáň, Jozef 11 2010 Maps with highest level of symmetry that are even more symmetric than other such maps: regular maps with largest exponent groups. Zbl 1232.05088 Širáň, Jozef; Wang, Yan 2 2010 Non-orientable regular maps of a given type over linear fractional groups. Zbl 1221.05066 Širáň, Jozef 2 2010 Reflexibility of regular Cayley maps for Abelian groups. Zbl 1184.05060 Conder, Marston D. E.; Kwon, Young Soo; Širáň, Jozef 9 2009 Symmetric maps. Zbl 1201.05022 Širáň, Jozef; Tucker, Thomas W. 4 2009 Regular hypermaps over projective linear groups. Zbl 1181.57003 Conder, Marston; Potočnik, Primož; Širáň, Jozef 23 2008 New record graphs in the degree-diameter problem. Zbl 1178.05038 Loz, Eyal; Širáň, Jozef 9 2008 Injectivity radius of representations of triangle groups and planar width of regular hypermaps. Zbl 1162.05014 Mačaj, Martin; Širáň, Jozef; Ipolyiová, Mária 2 2008 Regular Hamiltonian embeddings of \(K_{n,n}\) and regular triangular embeddings of \(K_{n,n,n}\). Zbl 1159.05025 Knor, Martin; Širáň, Jozef 2 2008 Triangular embeddings of complete graphs from graceful labellings of paths. Zbl 1247.05205 Goddyn, Luis; Richter, R. Bruce; Širáň, Jozef 11 2007 Hamiltonian embeddings from triangulations. Zbl 1123.05032 Grannell, Mike J.; Griggs, Terry S.; Širáň, Jozef 6 2007 Möbius regular maps. Zbl 1106.05033 Li, Cai Heng; Širáň, Jozef 4 2007 Characterization of graphs which admit vertex-transitive embeddings. Zbl 1121.05036 Širáň, Jozef; Tucker, Thomas W. 2 2007 Regular maps on a given surface: a survey. Zbl 1117.05024 Širán, Jozef 10 2006 Triangulations of orientable surfaces by complete tripartite graphs. Zbl 1099.05025 Grannell, M. J.; Griggs, T. S.; Knor, M.; Širáň, J. 7 2006 Moore graphs and beyond: a survey of the degree/diameter problem. Zbl 1079.05043 Miller, Mirka; Širáň, Jozef 70 2005 Cayley maps. Zbl 1079.05029 Richter, R. Bruce; Širáň, Jozef; Jajcay, Robert; Tucker, Thomas W.; Watkins, Mark E. 47 2005 Classification of regular maps of negative prime Euler characteristic. Zbl 1065.05033 Breda d’Azevedo, Antonio; Nedela, Roman; Širáň, Jozef 17 2005 Complete characterization of almost Moore digraphs of degree three. Zbl 1060.05036 Baskoro, Edy Tri; Miller, Mirka; Širáň, Jozef; Sutton, Martin 14 2005 Regular maps whose groups do not act faithfully on vertices, edges, or faces. Zbl 1056.05078 Li, Cai Heng; Širáň, Jozef 12 2005 A note on large Cayley graphs of diameter two and given degree. Zbl 1078.05037 Šiagiová, Jana; Širáň, Jozef 9 2005 Maximum genus embeddings of Steiner triple systems. Zbl 1056.05022 Grannell, Mike J.; Griggs, Terry S.; Širáň, Jozef 5 2005 Labellings of trees with maximum degree three – an improved bound. Zbl 1109.05095 Brankovic, Ljiljana; Rosa, Alex; Širán, Jozef 4 2005 Obstructions to directed embeddings of Eulerian digraphs in the plane. Zbl 1052.05026 Bonnington, C. Paul; Hartsfield, Nora; Širáň, Jozef 9 2004 Planar triangulations which quadrangulate other surfaces. Zbl 1050.05037 Nakamoto, Atsuhiro; Negami, Seiya; Ota, Katsuhiro; Širáň, Jozef 3 2004 Halin’s theorem for cubic graphs on an annulus. Zbl 1055.05034 Archdeacon, Dan; Bonnington, C. Paul; Širáň, Jozef 2 2004 A note on the number of graceful labellings of paths. Zbl 1008.05132 Aldred, R. E. L.; Širáň, Jozef; Širáň, Martin 12 2003 On the minimal nonzero distance between triangular embeddings of a complete graph. Zbl 1035.05032 Grannell, M. J.; Griggs, T. S.; Korzhik, V. P.; Širáň, J. 2 2003 On the injective chromatic number of graphs. Zbl 1007.05046 Hahn, Geňa; Kratochvíl, Jan; Širáň, Jozef; Sotteau, Dominique 85 2002 Skew-morphisms of regular Cayley maps. Zbl 0988.05047 Jajcay, Robert; Širáň, Jozef 49 2002 Recursive constructions for triangulations. Zbl 0999.05021 Grannell, M. J.; Griggs, T. S.; Širáň, J. 25 2002 On range query usability of statistical databases. Zbl 1008.62005 Branković, Ljiljana; Miller, Mirka; Širáň, Jozef 4 2002 Counterexamples to the uniform shortest path routing conjecture for vertex-transitive graphs. Zbl 1019.90013 Shim, Sangho; Širáň, Jozef; Žerovnik, Janez 3 2002 2-compromise usability in 1-dimensional statistical databases. Zbl 1077.68625 Branković, Ljiljana; Širáň, Jozef 2 2002 Sewing ribbons on graphs in space. Zbl 1028.05027 Archdeacon, Dan; Bonnington, C. Paul; Richter, R. Bruce; Širáň, Jozef 1 2002 Realizing finite edge-transitive orientable maps. Zbl 0989.05027 Širáň, Jozef; Tucker, Thomas W.; Watkins, Mark E. 29 2001 Coverings of graphs and maps, orthogonality, and eigenvectors. Zbl 0990.05068 Širáň, Jozef 15 2001 Triangle group representations and constructions of regular maps. Zbl 1015.05033 Širáň, Jozef 13 2001 Digraphs of degree two which miss the Moore bound by two. Zbl 0959.05054 Miller, Mirka; Širáň, Jozef 4 2001 Trading crossings for handles and crosscaps. Zbl 0994.05056 Archdeacon, Dan; Bonnington, C. Paul; Širáň, Jozef 3 2001 Triangle group representations and their applications to graphs and maps. Zbl 0988.05046 Širáň, Jozef 2 2001 Exponential families of non-isomorphic triangulations of complete graphs. Zbl 1023.05041 Bonnington, C. Paul; Grannell, M. J.; Griggs, T. S.; Širáň, J. 39 2000 Almost Moore digraphs are diregular. Zbl 0942.05026 Miller, Mirka; Gimbert, Joan; Širáň, Jozef; Slamin 12 2000 Halving complete 4-partite graphs. Zbl 0994.05117 Fronček, Dalibor; Širáň, Jozef 2 2000 Characterisation of graphs which underlie regular maps on closed surfaces. Zbl 0940.05037 Gardiner, A.; Nedela, R.; Širáň, J.; Škoviera, M. 50 1999 Bipartite labeling of trees with maximum degree three. Zbl 0918.05089 Bonnington, C. Paul; Širáň, Jozef 4 1999 The “walk calculus” of regular lifts of graph and map automorphisms. Zbl 0947.05027 Širáň, Jozef 2 1999 A note on large graphs of diameter two and given maximum degree. Zbl 0911.05031 McKay, Brendan D.; Miller, Mirka; Širáň, Jozef 27 1998 Surface embeddings of Steiner triple systems. Zbl 0916.05009 Grannell, M. J.; Griggs, T. S.; Širáň, Jozef 19 1998 Face 2-colourable triangular embeddings of complete graphs. Zbl 0914.05019 Grannell, M. J.; Griggs, T. S.; Širáň, Jozef 18 1998 A note on constructing large Cayley graphs of given degree and diameter by voltage assignments. Zbl 0885.05071 Branković, Ljiljana; Miller, Mirka; Plesník, Ján; Ryan, Joe; Širáň, Jozef 8 1998 Characterizing planarity using theta graphs. Zbl 0887.05016 Archdeacon, Dan; Širáň, Josef 3 1998 Large graphs with small degree and diameter: A voltage assignment approach. Zbl 0929.05040 Branković, Ljiljana; Miller, Mirka; Plesník, Ján; Ryan, Joe; Širáň, Jozef 3 1998 A Nebeský-type characterization for relative maximum genus. Zbl 0920.05021 Archdeacon, Dan; Bonnington, C. Paul; Širáň, Jozef 2 1998 Constructing and forbidding automorphisms in lifted maps. Zbl 1053.05503 Archdeacon, Dan; Gvozdjak, Pavol; Širáň, Jozef 20 1997 Extremal graphs of diameter two and given maximum degree, embeddable in a fixed surface. Zbl 0862.05072 Knor, Martin; Širáň, Jozef 4 1997 Edge-ends in countable graphs. Zbl 0873.05038 Hahn, Geňa; Laviolette, François; Širáň, Jozef 4 1997 Large digraphs with small diameter: A voltage assignment approach. Zbl 0884.05046 Baskoro, Edy Tri; Branković, Ljiljana; Miller, Mirka; Plesník, Ján; Ryan, Joe; Širáň, Jozef 3 1997 ...and 47 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 769 Authors 70 Širáň, Jozef 31 Conder, Marston Donald Edward 25 Nedela, Roman 24 Grannell, Michael John 24 Jajcay, Robert 23 Griggs, Terry S. 22 Li, Caiheng 20 Du, Shaofei 20 Kwak, Jin Ho 19 Korzhik, Vladimir P. 18 Miller, Mirka 18 Škoviera, Martin 17 Kwon, Young Soo 14 Leemans, Dimitri 13 Fiol, Miquel Angel 12 Erskine, Grahame 12 Jones, Gareth A. 10 Dalfó, Cristina 10 Feng, Yanquan 10 Knor, Martin 10 López, Nacho 10 Marušič, Dragan 10 Pérez-Rosés, Hebert 10 Zhang, Junyang 9 Archdeacon, Dan Steven 9 Bu, Yuehua 9 Hu, Kan 9 Potočnik, Primož 9 Raspaud, André 9 Ryan, Joe 9 Tucker, Thomas W. 8 Mohar, Bojan 8 Oh, Ju-Mok 8 Richter, Robert Bruce 8 Šiagiová, Jana 7 Bokal, Drago 7 Breda d’Azevedo, Antonio J. 7 Fan, Wenwen 7 Kutnar, Klavdija 7 Malnič, Aleksander 7 Pineda-Villavicencio, Guillermo 7 Tuite, James 7 Vetrík, Tomáš 7 Wang, Yan 6 Bonnington, C. Paul 6 Catalano, Domenico A. 6 Hubard, Isabel 6 Liu, Yanpei 6 Martin, Barnaby D. 6 Paulusma, Daniël 6 Pavlíková, Soňa 6 Pellicer, Daniel 6 Pisanski, Tomaž 6 Praeger, Cheryl Elisabeth 6 Smith, Siani 6 Voss, Heinz-Jürgen 6 Wilson, Stephen E. 6 Ždímalová, Mária 5 Barrientos, Christian 5 Ellingham, Mark Norman 5 Exoo, Geoffrey 5 Filipovski, Slobodan 5 Gimbert, Joan 5 Hliněný, Petr 5 Miret, Josep M. 5 Nandi, Raju 5 Ren, Han 5 Salazar, Gelasio 5 Šámal, Robert 5 Suzuki, Yusuke 5 Wang, Na’er 5 Yuan, Kai 5 Zhou, Sanming 5 Zhu, YanHong 4 Bachratý, Martin 4 Bennett, G. Kemble 4 Branković, Ljiljana 4 Chimani, Markus 4 Conde, Josep 4 Connor, Thomas 4 Cunningham, Gabe 4 Diestel, Reinhard 4 Donovan, Diane M. 4 Gomez, Jose 4 Gross, Jonathan L. 4 Hahn, Gena 4 Horák, Peter 4 Kovács, István 4 Mačaj, Martin 4 MacGillivray, Gary 4 McCourt, Thomas A. 4 Mixer, Mark D. 4 Orbanić, Alen 4 Przybyło, Jakub 4 Pujolàs, Jordi 4 Sivakumar, Koratti Chengalrayan 4 Watkins, Mark E. 4 Xu, Baogang 3 Abas, Marcel 3 Abrams, Lowell ...and 669 more Authors all top 5 Cited in 136 Serials 135 Discrete Mathematics 60 Journal of Combinatorial Theory. Series B 55 European Journal of Combinatorics 33 Journal of Algebraic Combinatorics 31 Discrete Applied Mathematics 28 Graphs and Combinatorics 24 Journal of Graph Theory 22 The Electronic Journal of Combinatorics 19 Ars Mathematica Contemporanea 15 Journal of Algebra 13 Journal of Combinatorial Theory. 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New Series 2 Designs, Codes and Cryptography 2 The Australasian Journal of Combinatorics 2 Combinatorics, Probability and Computing 2 Journal of Mathematical Sciences (New York) 2 Computational and Applied Mathematics 2 Journal of Mathematical Chemistry 2 Journal of Graph Algorithms and Applications 2 Journal of Discrete Algorithms 2 AKCE International Journal of Graphs and Combinatorics 2 Journal of Mahani Mathematical Research Center 2 Prikladnaya Diskretnaya Matematika 1 Bulletin of the Australian Mathematical Society 1 Moscow University Mathematics Bulletin 1 Physica A 1 Problems of Information Transmission 1 Rocky Mountain Journal of Mathematics 1 The Mathematical Intelligencer 1 Beiträge zur Algebra und Geometrie 1 Advances in Mathematics 1 Commentarii Mathematici Helvetici 1 Fuzzy Sets and Systems 1 Geometriae Dedicata 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Kybernetika 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Siberian Mathematical Journal 1 Topology and its Applications 1 Combinatorica 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Advances in Mathematics (Beijing) 1 Journal of Symbolic Computation 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Forum Mathematicum 1 The Annals of Applied Probability 1 Computational Geometry 1 International Journal of Algebra and Computation 1 Aequationes Mathematicae 1 European Journal of Operational Research 1 Expositiones Mathematicae 1 Journal of Knot Theory and its Ramifications 1 Applied Mathematics. Series B (English Edition) 1 Algebra Colloquium 1 Acta Universitatis Matthiae Belii. Series Mathematics ...and 36 more Serials all top 5 Cited in 35 Fields 691 Combinatorics (05-XX) 139 Group theory and generalizations (20-XX) 56 Manifolds and cell complexes (57-XX) 43 Computer science (68-XX) 31 Convex and discrete geometry (52-XX) 27 Geometry (51-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 10 Algebraic geometry (14-XX) 9 Number theory (11-XX) 9 Information and communication theory, circuits (94-XX) 8 Functions of a complex variable (30-XX) 8 Operations research, mathematical programming (90-XX) 5 History and biography (01-XX) 5 Biology and other natural sciences (92-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Probability theory and stochastic processes (60-XX) 3 Associative rings and algebras (16-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 2 Real functions (26-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX) Citations by Year