Edit Profile (opens in new tab) Širáň, Jozef Compute Distance To: Compute Author ID: siran.jozef Published as: Širáň, Jozef; Širáň, J.; Siran, Jozef; Širán, Jozef; Siran, J.; Širán, J.; Širáň, Josef more...less Documents Indexed: 174 Publications since 1980 5 Contributions as Editor · 1 Further Contribution Reviewing Activity: 284 Reviews Co-Authors: 99 Co-Authors with 155 Joint Publications 2,972 Co-Co-Authors all top 5 Co-Authors 25 single-authored 17 Griggs, Terry S. 15 Miller, Mirka 14 Škoviera, Martin 12 Archdeacon, Dan Steven 10 Bonnington, C. Paul 10 Conder, Marston D. E. 10 Jajcay, Robert 9 Grannell, Michael John 9 Horák, Peter 9 Richter, Robert Bruce 8 Šiagiová, Jana 7 Branković, Ljiljana 7 Mačaj, Martin 7 Rosa, Alexander 5 Erskine, Grahame 5 Gvozdjak, Pavol 5 Knor, Martin 5 Tucker, Thomas W. 4 Baskoro, Edy Tri 4 Hahn, Gena 4 Nedela, Roman 4 Plesník, Ján 4 Potočnik, Primož 4 Ryan, Joe 3 Dalfó, Cristina 3 Fiol, Miquel Angel 3 Fronček, Dalibor 3 Ipolyiová, Mária 3 Li, Caiheng 3 Pavlíková, Soňa 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 Loz, Eyal 2 Macbeth, Heather R. 2 Olejár, Marián 2 Šeliga, Adam 2 Šipošová, Alexandra 2 Tuza, Zsolt 1 Aldred, Robert E. L. 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 Gimbert, Joan 1 Goddyn, Luis A. 1 Hartsfield, Nora 1 Hriňáková, Katarína 1 Hucíková, Veronika 1 Jeans, Olivia Reade 1 Kratochvíl, Jan 1 Laviolette, François 1 Lladser, Manuel E. 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 Reade, Olivia 1 Ryjáček, Zdeněk 1 Sauer, Norbert W. 1 Serra, Oriol 1 Seymour, Paul D. 1 Shim, Sangho 1 Simanjuntak, Rinovia 1 Šipeky, Ladislav 1 Širáň, Martin 1 Škrekovski, Riste 1 Slamin, S. 1 Sotteau, Dominique 1 Staneková, Ľubica 1 Sutton, Martin 1 Tomanová, Jana 1 Vetrík, Tomáš 1 Voss, Heinz-Jürgen 1 Wagner, Klaus 1 Wallis, Walter D. 1 Walther, Gerd 1 Walther, Hansjoachim ...and 3 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 Journal of Algebraic Combinatorics 3 Discrete Applied Mathematics 3 Ars Combinatoria 3 Bulletin of the London Mathematical Society 3 Glasgow Mathematical Journal 3 Mathematische Nachrichten 3 Graphs and Combinatorics 3 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Journal of Algebra 2 Transactions of the American Mathematical Society 2 The Electronic Journal of Combinatorics 2 Journal of Combinatorial Designs 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 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 168 Combinatorics (05-XX) 26 Group theory and generalizations (20-XX) 18 Manifolds and cell complexes (57-XX) 4 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-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 135 Publications have been cited 1,125 times in 664 Documents Cited by ▼ Year ▼ On the injective chromatic number of graphs. Zbl 1007.05046Hahn, Geňa; Kratochvíl, Jan; Širáň, Jozef; Sotteau, Dominique 71 2002 Moore graphs and beyond: a survey of the degree/diameter problem. Zbl 1079.05043Miller, Mirka; Širáň, Jozef 57 2005 Characterisation of graphs which underlie regular maps on closed surfaces. Zbl 0940.05037Gardiner, A.; Nedela, R.; Širáň, J.; Škoviera, M. 47 1999 Regular maps from Cayley graphs. I: Balanced Cayley maps. Zbl 0782.05028Škoviera, Martin; Širáň, Jozef 47 1992 Skew-morphisms of regular Cayley maps. Zbl 0988.05047Jajcay, Robert; Širáň, Jozef 45 2002 Cayley maps. Zbl 1079.05029Richter, R. Bruce; Širáň, Jozef; Jajcay, Robert; Tucker, Thomas W.; Watkins, Mark E. 45 2005 Exponential families of non-isomorphic triangulations of complete graphs. Zbl 1023.05041Bonnington, C. Paul; Grannell, M. J.; Griggs, T. S.; Širáň, J. 37 2000 A note on large graphs of diameter two and given maximum degree. Zbl 0911.05031McKay, Brendan D.; Miller, Mirka; Širáň, Jozef 27 1998 Recursive constructions for triangulations. Zbl 0999.05021Grannell, M. J.; Griggs, T. S.; Širáň, J. 25 2002 The genera, reflexibility and simplicity of regular maps. Zbl 1221.05197Conder, Marston D. E.; Širáň, Jozef; Tucker, Thomas W. 24 2010 Regular maps from Cayley graphs. II: Antibalanced Cayley maps. Zbl 0791.05031Širáň, Jozef; Škoviera, Martin 24 1994 Realizing finite edge-transitive orientable maps. Zbl 0989.05027Širáň, Jozef; Tucker, Thomas W.; Watkins, Mark E. 23 2001 Constructing and forbidding automorphisms in lifted maps. Zbl 1053.05503Archdeacon, Dan; Gvozdjak, Pavol; Širáň, Jozef 19 1997 The existence of selfcomplementary circulant graphs. Zbl 0869.05036Fronček, Dalibor; Rosa, Alexander; Širáň, Jozef 18 1996 Face 2-colourable triangular embeddings of complete graphs. Zbl 0914.05019Grannell, M. J.; Griggs, T. S.; Širáň, Jozef 18 1998 Surface embeddings of Steiner triple systems. Zbl 0916.05009Grannell, M. J.; Griggs, T. S.; Širáň, Jozef 17 1998 Classification of regular maps of negative prime Euler characteristic. Zbl 1065.05033Breda d’Azevedo, Antonio; Nedela, Roman; Širáň, Jozef 17 2005 Regular hypermaps over projective linear groups. Zbl 1181.57003Conder, Marston; Potočnik, Primož; Širáň, Jozef 17 2008 Large Cayley graphs and vertex-transitive non-Cayley graphs of given degree and diameter. Zbl 1230.05158Macbeth, Heather; Šiagiová, Jana; Širáň, Jozef; Vetrík, Tomáš 17 2010 Search for properties of the missing Moore graph. Zbl 1217.05149Mačaj, Martin; Širáň, Jozef 16 2010 Coverings of graphs and maps, orthogonality, and eigenvectors. Zbl 0990.05068Širáň, Jozef 15 2001 How symmetric can maps on surfaces be? Zbl 1301.05323Širáň, Jozef 15 2013 Complete characterization of almost Moore digraphs of degree three. Zbl 1060.05036Baskoro, Edy Tri; Miller, Mirka; Širáň, Jozef; Sutton, Martin 13 2005 Triangle group representations and constructions of regular maps. Zbl 1015.05033Širáň, Jozef 12 2001 Cayley graphs of given degree and diameter for cyclic, Abelian, and metacyclic groups. Zbl 1232.05091Macbeth, Heather; Šiagiová, Jana; Širáň, Jozef 12 2012 Bipartite labelings of trees and the gracesize. Zbl 0818.05054Rosa, Alexander; Širáň, Jozef 12 1995 A note on the number of graceful labellings of paths. Zbl 1008.05132Aldred, R. E. L.; Širáň, Jozef; Širáň, Martin 11 2003 Regular maps whose groups do not act faithfully on vertices, edges, or faces. Zbl 1056.05078Li, Cai Heng; Širáň, Jozef 11 2005 Characterization of the maximum genus of a signed graph. Zbl 0742.05037Širáň, Jozef; Škoviera, Martin 11 1991 Almost Moore digraphs are diregular. Zbl 0942.05026Miller, Mirka; Gimbert, Joan; Širáň, Jozef; Slamin 10 2000 Branched coverings of maps and lifts of map homomorphisms. Zbl 0804.05025Archdeacon, Dan; Richter, R. Bruce; Širáň, Jozef; Škoviera, Martin 10 1994 Regular maps on a given surface: a survey. Zbl 1117.05024Širán, Jozef 10 2006 Infinite families of crossing-critical graphs with a given crossing number. Zbl 0535.05026Širáň, Jozef 10 1984 Triangular embeddings of complete graphs from graceful labellings of paths. Zbl 1247.05205Goddyn, Luis; Richter, R. Bruce; Širáň, Jozef 10 2007 Obstructions to directed embeddings of Eulerian digraphs in the plane. Zbl 1052.05026Bonnington, C. Paul; Hartsfield, Nora; Širáň, Jozef 9 2004 New record graphs in the degree-diameter problem. Zbl 1178.05038Loz, Eyal; Širáň, Jozef 9 2008 Circular embedding of planar graphs in nonspherical surfaces. Zbl 0798.05020Richter, R. B.; Seymour, P. D.; Širáň, J. 9 1994 Approaching the Moore bound for diameter two by Cayley graphs. Zbl 1237.05101Šiagiová, Jana; Širáň, Jozef 9 2012 Regular maps with almost Sylow-cyclic automorphism groups, and classification of regular maps with Euler characteristic \(-p^{2}\). Zbl 1225.05123Conder, Marston; Potočnik, Primož; Širáň, Jozef 9 2010 Relative embeddings of graphs on closed surfaces. Zbl 0646.05024Širáň, Jozef; Škoviera, Martin 9 1988 Reflexibility of regular Cayley maps for Abelian groups. Zbl 1184.05060Conder, Marston D. E.; Kwon, Young Soo; Širáň, Jozef 9 2009 A note on large Cayley graphs of diameter two and given degree. Zbl 1078.05037Šiagiová, Jana; Širáň, Jozef 8 2005 Groups with sign structure and their antiautomorphisms. Zbl 0806.20025Širáň, Jozef; Škoviera, Martin 8 1992 Anti-mitre Steiner triple systems. Zbl 0815.05017Colbourn, Charles J.; Mendelsohn, Eric; Rosa, Alexander; Širáň, Jozef 8 1994 Regular maps from voltage assignments. Zbl 0791.05025Gvozdjak, Pavol; Širáň, Jozef 7 1993 Small vertex-transitive graphs of given degree and girth. Zbl 1237.05098Jajcay, Robert; Širáň, Jozef 7 2011 Small vertex-transitive and Cayley graphs of girth six and given degree: An algebraic approach. Zbl 1234.05121Loz, Eyal; Mačaj, Martin; Miller, Mirka; Šiagiová, Jana; Širáň, Jozef; Tomanová, Jana 7 2011 Triangulations of orientable surfaces by complete tripartite graphs. Zbl 1099.05025Grannell, M. J.; Griggs, T. S.; Knor, M.; Širáň, J. 7 2006 An algebraic approach to lifts of digraphs. Zbl 1421.05048Dalfó, C.; Fiol, M. A.; Miller, M.; Ryan, J.; Širáň, J. 6 2019 The spectra of lifted digraphs. Zbl 1429.05083Dalfó, C.; Fiol, M. A.; Širáň, J. 6 2019 Oriented relative embeddings of graphs. Zbl 0736.05035Škoviera, M.; Širáň, J. 6 1987 End-faithful forests and spanning trees in infinite graphs. Zbl 0763.05034Širáň, Jozef 6 1991 A note on constructing large Cayley graphs of given degree and diameter by voltage assignments. Zbl 0885.05071Branković, Ljiljana; Miller, Mirka; Plesník, Ján; Ryan, Joe; Širáň, Jozef 6 1998 Hamiltonian embeddings from triangulations. Zbl 1123.05032Grannell, Mike J.; Griggs, Terry S.; Širáň, Jozef 6 2007 Maximum genus embeddings of Steiner triple systems. Zbl 1056.05022Grannell, Mike J.; Griggs, Terry S.; Širáň, Jozef 5 2005 Orientable and non-orientable maps with given automorphism groups. Zbl 0777.05054Širáň, Jozef; Škoviera, Martin 5 1993 The crossing number of \(K_{3,n}\) in a surface. Zbl 0838.05033Richter, R. Bruce; Širán, J. 5 1996 Trinity symmetry and kaleidoscopic regular maps. Zbl 1300.05178Archdeacon, Dan; Conder, Marston; Širáň, Jozef 5 2014 The crossing function of a graph. Zbl 0498.05026Siran, Jozef 4 1983 Bipartite labeling of trees with maximum degree three. Zbl 0918.05089Bonnington, C. Paul; Širáň, Jozef 4 1999 Graphs, 0-1 matrices, and usability of statistical databases. Zbl 0901.05071Branković, Ljiljana; Miller, Mirka; Širáň, Jozef 4 1996 Self-dual regular maps from medial graphs. Zbl 0823.05026Archdeacon, D.; Širáň, J.; Škoviera, M. 4 1992 A construction of vertex-transitive non-Cayley graphs. Zbl 0820.05030Jajcay, Robert; Širáň, Jozef 4 1994 Extremal graphs of diameter two and given maximum degree, embeddable in a fixed surface. Zbl 0862.05072Knor, Martin; Širáň, Jozef 4 1997 Edge-ends in countable graphs. Zbl 0873.05038Hahn, Geňa; Laviolette, François; Širáň, Jozef 4 1997 Hyperbolic analogues of fullerenes on orientable surfaces. Zbl 1239.05184Dutour Sikirić, M.; Knor, M.; Potočnik, P.; Širáň, J.; Škrekovski, R. 4 2012 Symmetric maps. Zbl 1201.05022Širáň, Jozef; Tucker, Thomas W. 4 2009 Labellings of trees with maximum degree three – an improved bound. Zbl 1109.05095Brankovic, Ljiljana; Rosa, Alex; Širán, Jozef 4 2005 Cayley cages. Zbl 1269.05053Exoo, Geoffrey; Jajcay, Robert; Širáň, Jozef 4 2013 Duke’s theorem does not extend to signed graph embeddings. Zbl 0742.05036Širáň, Jozef 4 1991 Kuratowski-type theorems do not extend to pseudosurfaces. Zbl 0766.05023Širáň, Jozef; Gvozdjak, Pavol 4 1992 Additivity of the crossing number of graphs with connectivity 2. Zbl 0527.05029Širáň, J. 4 1984 Digraphs of degree two which miss the Moore bound by two. Zbl 0959.05054Miller, Mirka; Širáň, Jozef 4 2001 Möbius regular maps. Zbl 1106.05033Li, Cai Heng; Širáň, Jozef 4 2007 Edges and Kuratowski subgraphs of non-planar graphs. Zbl 0539.05028Širáň, Jozef 4 1983 Bi-rotary maps of negative prime characteristic. Zbl 1414.05090d’Azevedo, Antonio Breda; Catalano, Domenico A.; Širáň, Jozef 3 2019 Chiral maps of given hyperbolic type. Zbl 1331.05234Conder, Marston D. E.; Hucíková, Veronika; Nedela, Roman; Širáň, Jozef 3 2016 On the existence of aggregation functions with given super-additive and sub-additive transformations. Zbl 1380.68363Šipošová, Alexandra; Šipeky, Ladislav; Širáň, Jozef 3 2017 Planar triangulations which quadrangulate other surfaces. Zbl 1050.05037Nakamoto, Atsuhiro; Negami, Seiya; Ota, Katsuhiro; Širáň, Jozef 3 2004 Trading crossings for handles and crosscaps. Zbl 0994.05056Archdeacon, Dan; Bonnington, C. Paul; Širáň, Jozef 3 2001 Counterexamples to the uniform shortest path routing conjecture for vertex-transitive graphs. Zbl 1019.90013Shim, Sangho; Širáň, Jozef; Žerovnik, Janez 3 2002 On range query usability of statistical databases. Zbl 1008.62005Branković, Ljiljana; Miller, Mirka; Širáň, Jozef 3 2002 Self-dual and self-Petrie-dual regular maps. Zbl 1242.05076Richter, R. Bruce; Širáň, Jozef; Wang, Yan 3 2012 Large vertex-transitive graphs of diameter 2 from incidence graphs of biaffine planes. Zbl 1277.05049Balbuena, C.; Miller, M.; Širáň, J.; Ždímalová, M. 3 2013 More constructions of vertex-transitive non-Cayley graphs based on counting closed walks. Zbl 0872.05018Jajcay, Robert; Širáň, Jozef 3 1996 Decomposing cubes. Zbl 0878.05069Horák, P.; Širáň, J.; Wallis, W. 3 1996 Large digraphs with small diameter: A voltage assignment approach. Zbl 0884.05046Baskoro, Edy Tri; Branković, Ljiljana; Miller, Mirka; Plesník, Ján; Ryan, Joe; Širáň, Jozef 3 1997 Three remarks on end-faithfulness. Zbl 0845.05031Hahn, Geňa; Širáň, Jozef 3 1993 Characterizing planarity using theta graphs. Zbl 0887.05016Archdeacon, Dan; Širáň, Josef 3 1998 On a construction of Thomassen. Zbl 0612.05041Horák, Peter; Širáň, Jozef 3 1986 Classification of regular maps of Euler characteristic \(-3p\). Zbl 1244.05072Conder, Marston; Nedela, Roman; Širáň, Jozef 3 2012 Inverting non-invertible labeled trees. Zbl 1429.05184Pavlíková, Soňa; Širáň, Jozef 2 2019 On a modified concept of thickness of a graph. Zbl 0524.05046Horak, Peter; Siran, Jozef 2 1982 Large graphs with small degree and diameter: A voltage assignment approach. Zbl 0929.05040Branković, Ljiljana; Miller, Mirka; Plesník, Ján; Ryan, Joe; Širáň, Jozef 2 1998 Maximal orthogonal Latin rectangles. Zbl 0933.05020Horák, P.; Rosa, A.; Širáň, J. 2 1997 The “walk calculus” of regular lifts of graph and map automorphisms. Zbl 0947.05027Širáň, Jozef 2 1999 Triangle group representations and their applications to graphs and maps. Zbl 0988.05046Širáň, Jozef 2 2001 Halving complete 4-partite graphs. Zbl 0994.05117Fronček, Dalibor; Širáň, Jozef 2 2000 On the minimal nonzero distance between triangular embeddings of a complete graph. Zbl 1035.05032Grannell, M. J.; Griggs, T. S.; Korzhik, V. P.; Širáň, J. 2 2003 Halin’s theorem for cubic graphs on an annulus. Zbl 1055.05034Archdeacon, Dan; Bonnington, C. Paul; Širáň, Jozef 2 2004 An algebraic approach to lifts of digraphs. Zbl 1421.05048Dalfó, C.; Fiol, M. A.; Miller, M.; Ryan, J.; Širáň, J. 6 2019 The spectra of lifted digraphs. Zbl 1429.05083Dalfó, C.; Fiol, M. A.; Širáň, J. 6 2019 Bi-rotary maps of negative prime characteristic. Zbl 1414.05090d’Azevedo, Antonio Breda; Catalano, Domenico A.; Širáň, Jozef 3 2019 Inverting non-invertible labeled trees. Zbl 1429.05184Pavlíková, Soňa; Širáň, Jozef 2 2019 On the defect of vertex-transitive graphs of given degree and diameter. Zbl 1402.05038Exoo, Geoffrey; Jajcay, Robert; Mačaj, Martin; Širáň, Jozef 2 2019 Regular self-dual and self-Petrie-dual maps of arbitrary valency. Zbl 1416.05137Fraser, Jay; Jeans, Olivia; Širáň, Jozef 1 2019 Regular and orientably-regular maps with quasiprimitive automorphism groups on vertices. Zbl 1426.05178Jajcay, Robert; Li, Cai-Heng; Širáň, Jozef; Wang, Yan 1 2019 Asymptotically approaching the Moore bound for diameter three by Cayley graphs. Zbl 1402.05097Bachratý, Martin; Šiagiová, Jana; Širáň, Jozef 1 2019 Maximum genus embeddings of Latin squares. Zbl 1384.05056Griggs, Terry S.; Psomas, Constantinos; Širáň, Jozef 2 2018 On the existence of aggregation functions with given super-additive and sub-additive transformations. Zbl 1380.68363Šipošová, Alexandra; Šipeky, Ladislav; Širáň, Jozef 3 2017 Chiral maps of given hyperbolic type. Zbl 1331.05234Conder, Marston D. E.; Hucíková, Veronika; Nedela, Roman; Širáň, Jozef 3 2016 Polarity graphs revisited. Zbl 1317.05085Bachratý, Martin; Širáň, Jozef 1 2015 Trinity symmetry and kaleidoscopic regular maps. Zbl 1300.05178Archdeacon, Dan; Conder, Marston; Širáň, Jozef 5 2014 Regular pinched maps. Zbl 1296.05052Archdeacon, Dan; Bonnington, C. Paul; Širáň, Jozef 2 2014 Smallest vertex-transitive graphs of given degree and diameter. Zbl 1280.05066Knor, Martin; Širáň, Jozef 2 2014 How symmetric can maps on surfaces be? Zbl 1301.05323Širáň, Jozef 15 2013 Cayley cages. Zbl 1269.05053Exoo, Geoffrey; Jajcay, Robert; Širáň, Jozef 4 2013 Large vertex-transitive graphs of diameter 2 from incidence graphs of biaffine planes. Zbl 1277.05049Balbuena, C.; Miller, M.; Širáň, J.; Ždímalová, M. 3 2013 Nonorientable regular maps over linear fractional groups. Zbl 1301.05087Jones, Gareth A.; Mačaj, Martin; Širáň, Jozef 1 2013 Cayley graphs of given degree and diameter for cyclic, Abelian, and metacyclic groups. Zbl 1232.05091Macbeth, Heather; Šiagiová, Jana; Širáň, Jozef 12 2012 Approaching the Moore bound for diameter two by Cayley graphs. Zbl 1237.05101Šiagiová, Jana; Širáň, Jozef 9 2012 Hyperbolic analogues of fullerenes on orientable surfaces. Zbl 1239.05184Dutour Sikirić, M.; Knor, M.; Potočnik, P.; Širáň, J.; Škrekovski, R. 4 2012 Self-dual and self-Petrie-dual regular maps. Zbl 1242.05076Richter, R. Bruce; Širáň, Jozef; Wang, Yan 3 2012 Classification of regular maps of Euler characteristic \(-3p\). Zbl 1244.05072Conder, Marston; Nedela, Roman; Širáň, Jozef 3 2012 Random Cayley digraphs of diameter 2 and given degree. Zbl 1283.05251Lladser, Manuel E.; Potocnik, Primoz; Širáň, Jozef; Wilson, Mark C. 1 2012 Imprimitivity of locally finite, 1-ended, planar graphs. Zbl 1258.05051Watkins, Mark E.; Širáň, Jozef 1 2012 Small vertex-transitive graphs of given degree and girth. Zbl 1237.05098Jajcay, Robert; Širáň, Jozef 7 2011 Small vertex-transitive and Cayley graphs of girth six and given degree: An algebraic approach. Zbl 1234.05121Loz, Eyal; Mačaj, Martin; Miller, Mirka; Šiagiová, Jana; Širáň, Jozef; Tomanová, Jana 7 2011 Reflexible regular maps with no non-trivial exponents from residual finiteness. Zbl 1245.05064Širáň, Jozef; Staneková, Ľubica; Olejár, Marián 1 2011 The genera, reflexibility and simplicity of regular maps. Zbl 1221.05197Conder, Marston D. E.; Širáň, Jozef; Tucker, Thomas W. 24 2010 Large Cayley graphs and vertex-transitive non-Cayley graphs of given degree and diameter. Zbl 1230.05158Macbeth, Heather; Šiagiová, Jana; Širáň, Jozef; Vetrík, Tomáš 17 2010 Search for properties of the missing Moore graph. Zbl 1217.05149Mačaj, Martin; Širáň, Jozef 16 2010 Regular maps with almost Sylow-cyclic automorphism groups, and classification of regular maps with Euler characteristic \(-p^{2}\). Zbl 1225.05123Conder, Marston; Potočnik, Primož; Širáň, Jozef 9 2010 Maps with highest level of symmetry that are even more symmetric than other such maps: regular maps with largest exponent groups. Zbl 1232.05088Širáň, Jozef; Wang, Yan 1 2010 Non-orientable regular maps of a given type over linear fractional groups. Zbl 1221.05066Širáň, Jozef 1 2010 Reflexibility of regular Cayley maps for Abelian groups. Zbl 1184.05060Conder, Marston D. E.; Kwon, Young Soo; Širáň, Jozef 9 2009 Symmetric maps. Zbl 1201.05022Širáň, Jozef; Tucker, Thomas W. 4 2009 Regular hypermaps over projective linear groups. Zbl 1181.57003Conder, Marston; Potočnik, Primož; Širáň, Jozef 17 2008 New record graphs in the degree-diameter problem. Zbl 1178.05038Loz, Eyal; Širáň, Jozef 9 2008 Regular Hamiltonian embeddings of \(K_{n,n}\) and regular triangular embeddings of \(K_{n,n,n}\). Zbl 1159.05025Knor, Martin; Širáň, Jozef 2 2008 Injectivity radius of representations of triangle groups and planar width of regular hypermaps. Zbl 1162.05014Mačaj, Martin; Širáň, Jozef; Ipolyiová, Mária 2 2008 Triangular embeddings of complete graphs from graceful labellings of paths. Zbl 1247.05205Goddyn, Luis; Richter, R. Bruce; Širáň, Jozef 10 2007 Hamiltonian embeddings from triangulations. Zbl 1123.05032Grannell, Mike J.; Griggs, Terry S.; Širáň, Jozef 6 2007 Möbius regular maps. Zbl 1106.05033Li, Cai Heng; Širáň, Jozef 4 2007 Characterization of graphs which admit vertex-transitive embeddings. Zbl 1121.05036Širáň, Jozef; Tucker, Thomas W. 2 2007 Regular maps on a given surface: a survey. Zbl 1117.05024Širán, Jozef 10 2006 Triangulations of orientable surfaces by complete tripartite graphs. Zbl 1099.05025Grannell, M. J.; Griggs, T. S.; Knor, M.; Širáň, J. 7 2006 Moore graphs and beyond: a survey of the degree/diameter problem. Zbl 1079.05043Miller, Mirka; Širáň, Jozef 57 2005 Cayley maps. Zbl 1079.05029Richter, R. Bruce; Širáň, Jozef; Jajcay, Robert; Tucker, Thomas W.; Watkins, Mark E. 45 2005 Classification of regular maps of negative prime Euler characteristic. Zbl 1065.05033Breda d’Azevedo, Antonio; Nedela, Roman; Širáň, Jozef 17 2005 Complete characterization of almost Moore digraphs of degree three. Zbl 1060.05036Baskoro, Edy Tri; Miller, Mirka; Širáň, Jozef; Sutton, Martin 13 2005 Regular maps whose groups do not act faithfully on vertices, edges, or faces. Zbl 1056.05078Li, Cai Heng; Širáň, Jozef 11 2005 A note on large Cayley graphs of diameter two and given degree. Zbl 1078.05037Šiagiová, Jana; Širáň, Jozef 8 2005 Maximum genus embeddings of Steiner triple systems. Zbl 1056.05022Grannell, Mike J.; Griggs, Terry S.; Širáň, Jozef 5 2005 Labellings of trees with maximum degree three – an improved bound. Zbl 1109.05095Brankovic, Ljiljana; Rosa, Alex; Širán, Jozef 4 2005 Obstructions to directed embeddings of Eulerian digraphs in the plane. Zbl 1052.05026Bonnington, C. Paul; Hartsfield, Nora; Širáň, Jozef 9 2004 Planar triangulations which quadrangulate other surfaces. Zbl 1050.05037Nakamoto, Atsuhiro; Negami, Seiya; Ota, Katsuhiro; Širáň, Jozef 3 2004 Halin’s theorem for cubic graphs on an annulus. Zbl 1055.05034Archdeacon, Dan; Bonnington, C. Paul; Širáň, Jozef 2 2004 A note on the number of graceful labellings of paths. Zbl 1008.05132Aldred, R. E. L.; Širáň, Jozef; Širáň, Martin 11 2003 On the minimal nonzero distance between triangular embeddings of a complete graph. Zbl 1035.05032Grannell, M. J.; Griggs, T. S.; Korzhik, V. P.; Širáň, J. 2 2003 On the injective chromatic number of graphs. Zbl 1007.05046Hahn, Geňa; Kratochvíl, Jan; Širáň, Jozef; Sotteau, Dominique 71 2002 Skew-morphisms of regular Cayley maps. Zbl 0988.05047Jajcay, Robert; Širáň, Jozef 45 2002 Recursive constructions for triangulations. Zbl 0999.05021Grannell, M. J.; Griggs, T. S.; Širáň, J. 25 2002 Counterexamples to the uniform shortest path routing conjecture for vertex-transitive graphs. Zbl 1019.90013Shim, Sangho; Širáň, Jozef; Žerovnik, Janez 3 2002 On range query usability of statistical databases. Zbl 1008.62005Branković, Ljiljana; Miller, Mirka; Širáň, Jozef 3 2002 Sewing ribbons on graphs in space. Zbl 1028.05027Archdeacon, Dan; Bonnington, C. Paul; Richter, R. Bruce; Širáň, Jozef 1 2002 2-compromise usability in 1-dimensional statistical databases. Zbl 1077.68625Branković, Ljiljana; Širáň, Jozef 1 2002 Realizing finite edge-transitive orientable maps. Zbl 0989.05027Širáň, Jozef; Tucker, Thomas W.; Watkins, Mark E. 23 2001 Coverings of graphs and maps, orthogonality, and eigenvectors. Zbl 0990.05068Širáň, Jozef 15 2001 Triangle group representations and constructions of regular maps. Zbl 1015.05033Širáň, Jozef 12 2001 Digraphs of degree two which miss the Moore bound by two. Zbl 0959.05054Miller, Mirka; Širáň, Jozef 4 2001 Trading crossings for handles and crosscaps. Zbl 0994.05056Archdeacon, Dan; Bonnington, C. Paul; Širáň, Jozef 3 2001 Triangle group representations and their applications to graphs and maps. Zbl 0988.05046Širáň, Jozef 2 2001 Exponential families of non-isomorphic triangulations of complete graphs. Zbl 1023.05041Bonnington, C. Paul; Grannell, M. J.; Griggs, T. S.; Širáň, J. 37 2000 Almost Moore digraphs are diregular. Zbl 0942.05026Miller, Mirka; Gimbert, Joan; Širáň, Jozef; Slamin 10 2000 Halving complete 4-partite graphs. Zbl 0994.05117Fronček, Dalibor; Širáň, Jozef 2 2000 Characterisation of graphs which underlie regular maps on closed surfaces. Zbl 0940.05037Gardiner, A.; Nedela, R.; Širáň, J.; Škoviera, M. 47 1999 Bipartite labeling of trees with maximum degree three. Zbl 0918.05089Bonnington, C. Paul; Širáň, Jozef 4 1999 The “walk calculus” of regular lifts of graph and map automorphisms. Zbl 0947.05027Širáň, Jozef 2 1999 A note on large graphs of diameter two and given maximum degree. Zbl 0911.05031McKay, Brendan D.; Miller, Mirka; Širáň, Jozef 27 1998 Face 2-colourable triangular embeddings of complete graphs. Zbl 0914.05019Grannell, M. J.; Griggs, T. S.; Širáň, Jozef 18 1998 Surface embeddings of Steiner triple systems. Zbl 0916.05009Grannell, M. J.; Griggs, T. S.; Širáň, Jozef 17 1998 A note on constructing large Cayley graphs of given degree and diameter by voltage assignments. Zbl 0885.05071Branković, Ljiljana; Miller, Mirka; Plesník, Ján; Ryan, Joe; Širáň, Jozef 6 1998 Characterizing planarity using theta graphs. Zbl 0887.05016Archdeacon, Dan; Širáň, Josef 3 1998 Large graphs with small degree and diameter: A voltage assignment approach. Zbl 0929.05040Branković, Ljiljana; Miller, Mirka; Plesník, Ján; Ryan, Joe; Širáň, Jozef 2 1998 A Nebeský-type characterization for relative maximum genus. Zbl 0920.05021Archdeacon, Dan; Bonnington, C. Paul; Širáň, Jozef 2 1998 Constructing and forbidding automorphisms in lifted maps. Zbl 1053.05503Archdeacon, Dan; Gvozdjak, Pavol; Širáň, Jozef 19 1997 Extremal graphs of diameter two and given maximum degree, embeddable in a fixed surface. Zbl 0862.05072Knor, Martin; Širáň, Jozef 4 1997 Edge-ends in countable graphs. Zbl 0873.05038Hahn, Geňa; Laviolette, François; Širáň, Jozef 4 1997 Large digraphs with small diameter: A voltage assignment approach. Zbl 0884.05046Baskoro, Edy Tri; Branković, Ljiljana; Miller, Mirka; Plesník, Ján; Ryan, Joe; Širáň, Jozef 3 1997 Maximal orthogonal Latin rectangles. Zbl 0933.05020Horák, P.; Rosa, A.; Širáň, J. 2 1997 The existence of selfcomplementary circulant graphs. Zbl 0869.05036Fronček, Dalibor; Rosa, Alexander; Širáň, Jozef 18 1996 The crossing number of \(K_{3,n}\) in a surface. Zbl 0838.05033Richter, R. Bruce; Širán, J. 5 1996 Graphs, 0-1 matrices, and usability of statistical databases. Zbl 0901.05071Branković, Ljiljana; Miller, Mirka; Širáň, Jozef 4 1996 More constructions of vertex-transitive non-Cayley graphs based on counting closed walks. Zbl 0872.05018Jajcay, Robert; Širáň, Jozef 3 1996 Decomposing cubes. Zbl 0878.05069Horák, P.; Širáň, J.; Wallis, W. 3 1996 The chromatic number of the union of two forests. Zbl 0851.05051Sauer, Norbert; Širáň, Jozef 1 1996 Bipartite labelings of trees and the gracesize. Zbl 0818.05054Rosa, Alexander; Širáň, Jozef 12 1995 A note on intersecting cliques in Cayley graphs. Zbl 0832.05051Hahn, Geňa; Širáň, Jozef 1 1995 Regular maps from Cayley graphs. II: Antibalanced Cayley maps. Zbl 0791.05031Širáň, Jozef; Škoviera, Martin 24 1994 ...and 35 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 678 Authors 64 Širáň, Jozef 27 Conder, Marston D. E. 25 Nedela, Roman 24 Grannell, Michael John 24 Jajcay, Robert 21 Griggs, Terry S. 20 Kwak, Jin Ho 20 Li, Caiheng 19 Korzhik, Vladimir P. 18 Miller, Mirka 17 Du, Shaofei 17 Škoviera, Martin 16 Kwon, Young Soo 12 Jones, Gareth A. 10 Feng, Yanquan 10 Knor, Martin 10 Leemans, Dimitri 10 Marušič, Dragan 10 Pérez-Rosés, Hebert 9 Archdeacon, Dan Steven 9 Bu, Yuehua 9 Erskine, Grahame 9 Fiol, Miquel Angel 9 López, Nacho 9 Potočnik, Primož 9 Ryan, Joe 9 Tucker, Thomas W. 9 Zhang, Junyang 8 Oh, Ju-Mok 8 Richter, Robert Bruce 8 Šiagiová, Jana 7 Dalfó, Cristina 7 Hu, Kan 7 Kutnar, Klavdija 7 Malnič, Aleksander 7 Raspaud, André 7 Vetrík, Tomáš 6 Bokal, Drago 6 Bonnington, C. Paul 6 Breda d’Azevedo, Antonio J. 6 Fan, Wenwen 6 Liu, Yanpei 6 Pellicer, Daniel 6 Pineda-Villavicencio, Guillermo 6 Pisanski, Tomaž 6 Praeger, Cheryl Elisabeth 6 Tuite, James 6 Voss, Heinz-Jürgen 6 Wang, Yan 6 Wilson, Stephen E. 6 Ždímalová, Mária 5 Catalano, Domenico A. 5 Ellingham, Mark Norman 5 Exoo, Geoffrey 5 Filipovski, Slobodan 5 Gimbert, Joan 5 Mohar, Bojan 5 Ren, Han 5 Salazar, Gelasio 5 Šámal, Robert 5 Suzuki, Yusuke 4 Bennett, G. Kemble 4 Chimani, Markus 4 Conde, Josep 4 Connor, Thomas 4 Diestel, Reinhard 4 Donovan, Diane M. 4 Gomez, Jose 4 Gross, Jonathan L. 4 Hahn, Gena 4 Hubard, Isabel 4 Kovács, István 4 MacGillivray, Gary 4 Martin, Barnaby D. 4 McCourt, Thomas A. 4 Miret, Josep M. 4 Orbanić, Alen 4 Paulusma, Daniël 4 Pujolàs, Jordi 4 Smith, Siani 4 Wang, Na’er 4 Xu, Baogang 4 Zhou, Sanming 3 Abas, Marcel 3 Balbuena, Camino 3 Barrientos, Christian 3 Branković, Ljiljana 3 Chen, Jiyong 3 Cioabă, Sebastian M. 3 Cunningham, Gabe 3 Dankelmann, Peter 3 Dong, Wei 3 Fedriani, Eugenio Manuel 3 Feng, Rongquan 3 Feria-Purón, Ramiro 3 Forbes, Anthony D. 3 Hao, Rongxia 3 Hliněný, Petr 3 Horák, Peter 3 Kelarev, Andrei Vladimirovich ...and 578 more Authors all top 5 Cited in 121 Serials 127 Discrete Mathematics 60 Journal of Combinatorial Theory. 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Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 SIAM Journal on Applied Dynamical Systems ...and 21 more Serials all top 5 Cited in 34 Fields 611 Combinatorics (05-XX) 116 Group theory and generalizations (20-XX) 43 Manifolds and cell complexes (57-XX) 37 Computer science (68-XX) 21 Convex and discrete geometry (52-XX) 18 Geometry (51-XX) 10 Algebraic geometry (14-XX) 9 Number theory (11-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Functions of a complex variable (30-XX) 7 Operations research, mathematical programming (90-XX) 6 Information and communication theory, circuits (94-XX) 5 Biology and other natural sciences (92-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 3 Associative rings and algebras (16-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Field theory and polynomials (12-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-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