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Items Authored or Edited by Jozef Širáň

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Jump to: 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001 | 2000
Number of items: 65.

2014

Archdeacon, Dan; Conder, Marston and Siran, Jozef (2014). Trinity symmetry and kaleidoscopic regular maps. Transactions of the American Mathematical Society (In press). file

2013

Jones, Gareth A.; Macaj, Martin and Siran, Jozef (2013). Nonorientable regular maps over linear fractional groups. Ars Mathematica Contemporanea, 6(1) pp. 25–35.

2012

Griggs, Terry; Širáň, J. and Richter, R. B. (2012). Graphs obtained from Moufang loops and regular maps. Journal of Graph Theory, 70(4) pp. 427–434.

Siagiova, Jana and Siran, Jozef (2012). Covalence sequences of transitive plane tessellations and transitive maps on surfaces. Australasian Journal of Combinatorics, 53 pp. 171–178.

Šiagiová, Jana and Siran, Jozef (2012). Approaching the Moore bound for diameter two by Cayleygraphs. Journal of Combinatorial Theory, Series B, 102(2) pp. 470–473. file

Dutour Sikirić, M.; Knor, M.; Potocnik, P.; Siran, J. and Škrekovski, R. (2012). Hyperbolic analogues of fullerenes on orientable surfaces. Discrete Mathematics, 312(4) pp. 729–736.

Richter, Bruce R.; Siran, Jozef and Wang, Yan (2012). Self-dual and self-Petrie-dual regular maps. Journal of Graph Theory, 69(2) pp. 152–159.

Macbeth, Heather; Šiagiová, Jana and Širáň, Jozef (2012). Cayley graphs of given degree and diameter for cyclic, Abelian, and metacyclic groups. Discrete Mathematics, 312(1) pp. 94–99. file

Conder, Marston; Nedela, Roman and Siran, Jozef (2012). Classification of regular maps of Euler characteristic -3p. Journal of Combinatorial Theory, Series B, 102(4) pp. 967–981. file

Širáň, Jozef and Watkins, Mark E. (2012). Imprimitivity of locally finite, 1-ended, planar graphs. Ars Mathematica Contemporanea, 5(2) pp. 217–221.

2011

Loz, Eyal; Mačaj, Martin; Miller, Mirka; Šiagiová, Jana; Siran, Jozef and Tomanová, Jana (2011). Small vertex-transitive and Cayley graphs of girth six and given degree: an algebraic approach. Journal of Graph Theory, 68(4) pp. 265–284.

Siran, Jozef; Stanekova, Lubica and Olejar, Marian (2011). Reflexible regular maps with no non-trivial exponents from residual finiteness. Glasgow Mathematical Journal, 53(3) pp. 437–441. file

Jajcay, Robert and Širáň, Jozef (2011). Small vertex-transitive graphs of given degree and girth. Ars Mathematica Contemporanea, 4(2) pp. 375–384. file

2010

Conder, Marston; Potočnik, Primož and Širáň, Jozef (2010). Regular maps with almost Sylow-cyclic automorphism groups, and classification of regular maps with Euler characteristic −p2. Journal of Algebra, 324(10) pp. 2620–2635. file

Macbeth, Heather; Šiagiová, Jana; Širáň, Jozef and Vetrík, Tomáš (2010). Large Cayley graphs and vertex-transitive non-Cayley graphs of given degree and diameter. Journal of Graph Theory, 64(2) pp. 87–98.

Conder, Marston D. E.; Širáň, Jozef and Tucker, Thomas W. (2010). The genera, reflexibility and simplicity of regular maps. Journal of the European Mathematical Society, 12(2) pp. 343–364.

Širáň, Jozef (2010). Non-orientable regular maps of a given type over linear fractional groups. Graphs and Combinatorics, 26(4) pp. 597–602.

Mačaj, Martin and Širáň, Jozef (2010). Search for properties of the missing Moore graph. Linear Algebra and its Applications, 432(9) pp. 2381–2398.

Širáň, Jozef and Wang, Yan (2010). Maps with highest level of symmetry that are even more symmetric than other such maps: regular maps with largest exponent groups. In: IPM 20 - Combinatorics 2009: "Celebrating 20 Years of IPM": A Conference Dedicated to Professor Gholamreza B. Khosrovshahi on the Occasion of His 70th Birthday, 15-21 May 2009, Tehran, Iran.

2009

Conder, Marston D. E.; Kwon, Young Soo and Širáň, Jozef (2009). Reflexibility of regular Cayley maps for abelian groups. Journal of Combinatorial Theory, Series B, 99(1) pp. 254–260.

Širáń, Jozef and Tucker, Thomas W. (2009). Symmetric maps. In: Beineke, Lowell W. and Wilson, Robin J. eds. Topics in Topological Graph Theory. Encyclopedia of Mathematics and its Applications (128). Cambridge: Cambridge University Press, pp. 199–224.

2008

Knor, Martin and Širáň, Jozef (2008). Regular hamiltonian embeddings of Kn,n and regular triangular embeddings of Kn,n,n. Discrete Mathematics, 308(20) pp. 4796–4800.

Conder, Marston; Potočnik, Primož and Širáň, Jozef (2008). Regular hypermaps over projective linear groups. Journal of the Australian Mathematical Society, 85(2) pp. 155–175.

Širáň, Jozef (2008). Recent progress in classification of regular maps on a given compact surface. Electronic Notes in Discrete Mathematics, 31, pp. 19–22.

Mačaj, Martin; Širáň, Jozef and Ipolyiová, Mária (2008). Injectivity radius of representations of triangle groups and planar width of regular hypermaps. Ars Mathematica Contemporanea, 1(2) pp. 223–241. file

Loz, Eyal and Siran, Jozef (2008). New record graphs in the degree-diameter problem. Australasian Journal of Combinatorics, 41 pp. 63–80.

2007

Grannell, Mike J.; Griggs, Terry S. and Siran, Jozef (2007). Hamiltonian embeddings from triangulations. Bulletin of the London Mathematical Society, 39(3) pp. 447–452.

Goddyn, Luis; Richter, R. Bruce and Širáň, Jozef (2007). Triangular embeddings of complete graphs from graceful labellings of paths. Journal of Combinatorial Theory, Series B, 97(6) pp. 964–970.

Širáň, J. and Tucker, T. W. (2007). Characterization of graphs which admit vertex-transitive embeddings. Journal of Graph Theory, 55(3) pp. 233–248.

Mačaj, Martin; Širáň, Jozef and Ipolyiová, Mária (2007). Planar width of regular maps. Electronic Notes in Discrete Mathematics, 28, pp. 477–484.

Li, Cai Heng and Širáň, Jozef (2007). Möbius regular maps. Journal of Combinatorial Theory, Series B, 97(1) pp. 57–73.

2006

Bennett, G. K.; Grannell, M. J.; Griggs, T. S. and Siran, J. (2006). Small surface trades in triangular embeddings. Discrete Mathematics, 306(21) pp. 2637–2646.

Grannell, M. J.; Griggs, T. S.; Knor, M. and Siran, J. (2006). Triangulations of orientable surfaces by complete tripartite graphs. Discrete Mathematics, 306(6) pp. 600–606.

Siran, Jozef (2006). Regular maps on a given surface: A survey. In: Thomas, R.; Klazar, M.; Kratochvil, J.; Loebl, M.; Matousek, J. and Valtr, P. eds. Topics in Discrete Mathematics. Algorithms and Combinatorics, 26 (26). Berlin: Springer, pp. 591–609.

2005

Siagiova, J. and Siran, J. (2005). A note on large Cayley graphs of diameter two and given degree. Discrete Mathematics, 305(1-3) pp. 379–382.

Richter, R. Bruce; Siran, Jozef; Jajcay, Robert; Tucker, Thomas W. and Watkins, Mark E. (2005). Cayley maps. Journal of Combinatorial Theory, Series B, 95(2) pp. 189–245.

Breda d'Azevedo, Antonio; Nedela, Roman and Siran, Jozef (2005). Classification of regular maps of negative prime Euler characteristic. Transactions of the American Mathematical Society, 357(10) pp. 4175–4190. file

Grannell, Mike J.; Griggs, Terry S. and Siran, Jozef (2005). Maximum genus embeddings of Steiner triple systems. European Journal of Combinatorics, 26(3-4) pp. 401–416.

Miller, M. and Siran, J. (2005). Moore graphs and beyond: A survey of the degree/diameter problem. Electronic Journal of Combinatorics, Dynamic Survey DS14

Brankovic, L.; Rosa, A. and Siran, J. (2005). Labellings of trees with maximum degree three - an improved bound. Journal of Combinatorial Mathematics and Combinatorial Computing, 55 pp. 159–169.

Li, C. H. and Siran, J. (2005). Regular maps whose groups do not act faithfully on edges, vertices, or faces. European Journal of Combinatorics, 26(3-4) pp. 521–541.

Baskoro, E. T.; Miller, M.; Sutton, M. and Siran, J. (2005). Complete characterization of almost Moore digraphs of degree three. Journal of Graph Theory, 48(2) pp. 112–126.

2004

Bonnington, P.; Hartsfield, N. and Siran, J. (2004). Obstructions to directed embeddings of Eulerian digraphs in the plane. European Journal of Combinatorics, 25(6) pp. 877–891.

Nakamoto, A.; Negami, S.; Ota, K. and Siran, J. (2004). Planar triangulations which quadrangulate other surfaces. European Journal of Combinatorics, 25(6) pp. 817–833.

Archdeacon, D.; Bonnington, P. and Siran, J. (2004). Halin's theorem for cubic graphs on an annulus. Discrete Mathematics, 281(1-3) pp. 13–25.

Stacho, L.; Siran, J. and Zhou, S. (2004). Routing balanced communications on Hamilton decomposablenetworks. Parallel Processing Letters, 14(3-4) pp. 377–385.

2003

Grannell, M.J.; Griggs, T.S.; Korzhik, V.P. and Siran, Jozef (2003). On the minimal nonzero distance between triangular embeddings of a complete graph. Discrete Mathematics, 269(1-3) pp. 149–160.

Aldred, R.; Siran, M. and Siran, J. (2003). A note on the number of graceful labellings of paths. Discrete Mathematics, 261(1-3) pp. 27–30.

Archdeacon, A.; Froncek, D.; Jajcay, R.; Ryjacek, Z. and Siran, J. (2003). Regular clique covers of graphs. Australasian Journal of Combinatorics, 27(1) pp. 307–316.

2002

Brankovic, L.; Miller, M. and Siran, J. (2002). On range query usability of statistical databases. International Journal of Computer Mathematics, 79(12) pp. 1265–1271.

Archdeacon, D.; Bonnington, P.; Richter, B. and Siran, J. (2002). Sewing ribbons on graphs in space. Journal of Combinatorial Theory, Series B, 86(1) pp. 1–26.

Hahn, G.; Kratochvil, J.; Sotteau, D. and Siran, J. (2002). On the injective chromatic number of graphs. Discrete Mathematics, 256(1-2) pp. 179–192.

Shim, S.; Zerovnik, J. and Siran, J. (2002). Counterexamples to the uniform shortest path routing conjecture for vertex-transitive graphs. Discrete Applied Mathematics, 119(3) pp. 281–286.

Jajcay, R. and Siran, J. (2002). Skew-morphisms of regular Cayley maps. Discrete Mathematics, 244(1-3) pp. 167–179.

Grannell, M. J.; Griggs, T. S. and Siran, J. (2002). Recursive constructions for triangulations. Journal of Graph Theory, 39(2) pp. 87–107.

2001

Siran, Jozef (2001). Coverings of Graphs and Maps, Orthogonality, and Eigenvectors. Journal of Algebraic Combinatorics: An International Journal, 14(1) pp. 57–72.

Siran, Jozef (2001). Triangle group representations and constructions of regular maps. Proceedings of the London Mathematical Society, 82(3) pp. 513–532.

Tucker, T,; Watkins, M. and Širáň, J. (2001). Realizing finite edge-transitive orientable maps. Journal of Graph Theory, 37(1) pp. 1–34. file

Archdeacon, D.; Bonnington, P. and Siran, J. (2001). Trading crossings for handles and crosscaps. Journal of Graph Theory, 38(4) pp. 230–243.

Siran, Jozef (2001). Triangle group representations and their applications to graphs and maps. Discrete Mathematics, 229(1-3) pp. 341–358.

Miller, M. and Siran, J. (2001). Digraphs of degree two which miss the Moore bound by two. Discrete Mathematics, 226(1-3) pp. 269–280.

Širáň, Jozef (2001). Regular maps. Com2Mac Lecture Notes Ser., 2.

2000

Širáň, Jozef (2000). Algebraic methods in the degree/diameter problem. Journal of the Indonesian Mathematical Society, 6(5) pp. 151–158.

Miller, Mirka; Gimbert, Joan; Širáň, Jozef and Slamin, S. (2000). Almost Moore digraphs are diregular. Discrete Mathematics, 218(1-3) pp. 265–270.

Bonnington, C. P.; Grannell, M. J.; Griggs, T. S. and Siran, J. (2000). Exponential families of non-isomorphic triangulations of complete graphs. Journal of Combinatorial Theory, Series B, 78(2) pp. 169–184.

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