Search results
Title Quadrangle groups inclusions Author info António Breda d’Azevedo... [et al.] Author Breda d'Azevedo Antonio (10%)
Co-authors Catalano Domenico A. (10%)
Karabáš Ján 1977- (40%) UMBFP05 - Katedra informatiky
Nedela Roman 1960- (40%) UMBFP05 - Katedra informatiky
Source document Beiträge zur Algebra und Geometrie. Vol. 58, no. 2 (2017), pp. 369-394. - Heidelberg : Springer-Verlag, 2017 Keywords Fuchsian groups Riemanove plochy - Riemann surfaces triangle group dessin d’enfant generalized quadrangle groups Language English Country Germany systematics 51 Annotation © 2016, The Managing Editors. In this paper we generalise Singerman’s results on triangle group inclusions to the broader class of generalised quadrangle groups, that is, Fuchsian groups with signature of genus 0 and generated by three or four elliptic generators. For any possible inclusion P < Q we also give the number of non-conjugate subgroups of Q isomorphic to P. Public work category ADM No. of Archival Copy 40854 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
unrecognised
Title Census of quadrangle groups inclusions Author info António Breda d’Azevedo ... [et al.] Author Breda d'Azevedo Antonio (25%)
Co-authors Catalano Domenico A. (25%)
Karabáš Ján 1977- (25%) UMBFP05 - Katedra informatiky
Nedela Roman 1960- (25%) UMBFP05 - Katedra informatiky
Source document Springer proceedings in mathematics and statistics : 5th workshop on symmetries in graphs, maps, and polytopes, SIGMAP 2014, Malvem, 07.07.2014-11.07.2014. S. 27-69. - New York : Springer, 2016 ; SIGMAP 2014 - Symmetries in graphs, maps, and polytopes workshop Keywords grafy - charts - graphs hypermapy topológia - topology hypermaps Language English Country United States of America systematics 51 Public work category AFC No. of Archival Copy 36718 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
Title Two infinite families of Archimedean maps of higher genera Author info Antonio Breda D'Azevedo, Domenico A. Catalano, Ján Karabáš Author Breda d'Azevedo Antonio (30%)
Co-authors Catalano Domenico A. (30%)
Karabáš Ján 1977- (40%) UMBFP05 - Katedra informatiky
Source document Ars Combinatoria : A Canadian Journal of Combinatorics. Vol. 128 (2016), pp. 241-254. - Winnipeg : The Charles Babbage Research Centre, 2016 Keywords Archimedean solid archimedovské teleso matematika - mathematics Language English Country Canada systematics 51 Annotation The well known infinite families of prisms and antiprisms on the sphere were, for long time, not considered as Archimedean solids for reasons not fully understood. In this paper we describe the first two infinite families of Archimedean maps on higher genera which we call "generalized" prisms and "generalized" antiprisms. Public work category ADM No. of Archival Copy 37148 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Maps of Archimedean class and operations on dessins Author info Antonio Breda d'Azevedo, Domenico A. Catalano, Ján Karabáš, Roman Nedela Author Breda d'Azevedo Antonio (10%)
Co-authors Catalano Domenico A. (10%)
Karabáš Ján 1977- (40%) UMBFP05 - Katedra informatiky
Nedela Roman 1960- (40%) UMBFP05 - Katedra informatiky
Source document Discrete Mathematics. Vol. 338, no. 10 special issue (2015), pp. 1814-1825. - Amsterdam : Elsevier B.V., 2015 ; Czech-Slovak international symposium on graph theory, combinatorics, algorithms and applications medzinárodné sympózium Keywords diskrétna matematika matematika - mathematics discrete mathematics Language English Country Netherlands systematics 51 Public work category AFD No. of Archival Copy 34086 Repercussion category PISANSKI, Tomaz - WILLIAMS, Gordon - BERMAN, Leah Wrenn. Operations on oriented maps. In Symmetry-basel. ISSN 2073-8994, 2017, vol. 9, no. 11.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Enumeration of maps regardless of genus: Geometric approach Author info Antonio Breda d`Azevedo, Alexander Mednykh, Roman Nedela Author Breda d'Azevedo Antonio
Co-authors Mednykh Alexander 1953-
Nedela Roman 1960- UMBFP10 - Katedra matematiky
Source document Discrete Mathematics. Vol. 310, p. 1184-1203. - : Elsevier, 2010 Keywords matematika - mathematics kombinatorická enumerácia - combinatorial enumeration Language English Country Netherlands systematics 519.115 Annotation Res. angl. Public work category ADE No. of Archival Copy 14326 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
article
Title Chirality groups of maps and hypermaps Author info Antonio Breda D´Azevedo ... [et al.] Co-authors Breda d'Azevedo Antonio (25%)
Another authors Jones Gareth (Author) (25%)
Nedela Roman 1960- (Author) (25%) UMBFP10 - Katedra matematiky
Škoviera Martin (Author) (25%)
Source document Journal of Algebraic Combinatorics. Vol. 29, no. 3 (2009), pp. 337-355. - S. l. : Springer, 2009 Keywords algebra - algebra kombinatorika - kombinatorická analýza - combinatorics - combinatorial analysis mapy - maps hypermaps Language English Country United States of America systematics 512 Public work category ADE No. of Archival Copy 13835 Repercussion category CUNNINGHAM, Gabe. Mixing chiral polytopes. In Journal of algebraic combinatorics. ISSN 0925-9899, 2012, vol. 36, no. 2, pp. 263-277.
PINTO, Daniel. Duality on hypermaps with symmetric or alternating monodromy group. In Ars mathematica contemporanea. ISSN 1855-3966, 2012, vol. 5, no. 2, pp. 259-267.
PINTO, Daniel. The duality index of oriented regular hypermaps. In European journal of combinatorics. ISSN 0195-6698, 2011, vol. 32, no. 8, pp. 1236-1243.
MONSON, B. - PELLICER, D. - WILLIAMS, G. Mixing and monodromy of abstract polytopes. In Transactions of the American Mathematical Society. ISSN 0002-9947, 2014, vol. 366, no. 5, pp. 2651-2681.
PELLICER, D. Developments and open problems on chiral polytopes. In Ars Mathematica Contemporanea. ISSN 1855-3966, 2012, vol. 5, no. 2, pp. 333-354.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Chirality group and chirality index of Coxeter chiral maps Author info Ana Breda, Antonio Breda D´Azevedo, Roman Nedela Author Breda Ana (34%)
Co-authors Breda d'Azevedo Antonio (33%)
Nedela Roman 1960- (33%) UMBFP12 - Inštitút matematiky a informatiky
Source document Ars Combinatoria : A Canadian Journal of Combinatorics. Vol. 81 (2006), pp. 147-160. - Winnipeg : The Charles Babbage Research Centre, 2006 Keywords matematika - mathematics chirálne mapy chiral maps Language English Country Canada systematics 51 Annotation In this paper we compute the chirality group, the chirality index and the smallest regular coverings of the chiral Coxeter maps, the toroidal orientably regular maps described in Coxeter and Moser monograph [H.S.M.Coxeter and W.O.J.Moser, Generators and Relations for Discrete Groups (4th ed.), Springer-Verlag, Berlin, 1984]. We also compute the greatest regular maps covered by chiral Coxeter maps. Public work category ADE No. of Archival Copy 28529 Repercussion category CUNNINGHAM, Gabe. Mixing chiral polytopes. In Journal of algebraic combinatorics. ISSN 0925-9899, 2012, vol. 36, no. 2, pp. 263-277.
CUNNINGHAM, Gabe. Constructing self-dual chiral polytopes. In European journal of combinatorics. ISSN 0195-6698, 2012, vol. 33, no. 6, pp. 1313-1323.
BREHM, Ulrich - KUEHNEL, Wolfgang. Equivelar maps on the torus. In European journal of combinatorics. ISSN 0195-6698, 2008, vol. 29, no. 8, pp. 1843-1861.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika article
Title Classification of regular maps of negative prime Euler characteristics Author info Antonio Breda D´Azevedo, Roman Nedela, Jozef Širáň Author Breda d'Azevedo Antonio (34%)
Co-authors Nedela Roman 1960- (33%) UMBUV01 - Ústav vedy a výskumu
Širáň Jozef (33%)
Source document Transactions of the American Mathematical Society. Vol. 367, no. 10 (2005), pp. 4175-4190. - Providence : American Mathematical Society, 2005 Keywords matematika - mathematics teória regular maps Language English Country United States of America systematics 51 Public work category ADE No. of Archival Copy 3075 Repercussion category SCHULTE, Egon - WILLS, Joerg M. Convex-Faced Combinatorially Regular Polyhedra of Small Genus. In Symmetry-Basel. ISSN 2073-8994, 2012, vol. 4, no. 1, pp. 1-14.
CONDER, Marston D. E. - TUCKER, Thomas W. The symmetric genus spectrum of finite groups. In Ars mathematica contemporanea. ISSN 1855-3966, 2011, vol. 4, no. 2, pp. 271-289.
CONDER, Marston D. E. Regular maps and hypermaps of Euler characteristic-1 to-200. In Journal of combinatorial theory series B. ISSN 0095-8956, 2009, vol. 99, no. 2, pp. 455-459.
CONDER, Marston - WILSON, Steve. Inner reflectors and non-orientable regular maps. In Discrete mathematics. ISSN 0012-365X, 2007, vol. 307, no. 3-5, pp. 367-372.
PELLICER, D. Vertex-transitive maps with Schläfli type { 3, 7 }. In Discrete mathematics. ISSN 0012-365X, 2014, vol. 317, no. 1, pp. 53-74.
GILL, N. Orientably regular maps with Euler characteristic divisible by few primes. In Journal of the London Mathematical Society. ISSN 0024-6107, 2013, vol. 88, no. 1, pp. 118-136.
CONDER, M. Genus spectra for symmetric embeddings of graphs on surfaces. In Electronic notes in discrete mathematics. ISSN 1571-0653, 2008, vol. 31, no. c, pp. 27-31.
KWAK, J.H. - KWON, Y.S. Unoriented Cayley maps. In Studia scientiarum mathematicarum Hungarica. ISSN 0081-6906, 2006, vol. 43, no. 2, pp. 137-157.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Half-arc-transitive graphs and chiral hypermaps Author info A. B. D´Azevedo, R. Nedela Author Breda d'Azevedo Antonio (50%)
Co-authors Nedela Roman 1960- (50%) UMBFP12 - Inštitút matematiky a informatiky
Source document European Journal of Combinatorics. Vol. 25, no. 3 (2004), pp. 423-436. - London : Academic Press, 2004 Keywords matematika - mathematics grafy - charts - graphs regulárne mapy regular maps Language English Country Great Britian systematics 51 Annotation A subgroup G of automorphisms of a graph X is said to be 1/2-arc-transitive if it is vertex- and edge- but not arc-transitive. The graph X is said to be 1/2-arc-transitive if Aut X is 1/2-arc-transitive. The interplay of two different concepts, maps and hypermaps on one side and 1/2-arc-transitive group actions on graphs on the other, is investigated. The correspondence between regular maps and 1/2-arc-transitive group actions on graphs of valency 4 given via the well known concept of medial graphs (European J. Combin. 19 (1998) 345) is generalised. Any orientably regular hypermap R gives rise to a uniquely determined medial map whose underlying graph Y admits a 1/2-arc-transitive group action of the automorphism group G of the original hypermap R. Moreover, the vertex stabiliser of the action of G on Y is cyclic. On the other hand, given graph X and G less than or equal to Ant X acting 1/2-arc-transitively with a cyclic vertex stabiliser, we can construct an orientably regular hyperma Public work category ADE No. of Archival Copy 28527 Repercussion category WANG, Xiuyun - FENG, Yan-Quan. There exists no tetravalent half-arc-transitive graph of order 2p(2). In Discrete mathematics. ISSN 0012-365X, 2010, vol. 310, no. 12, pp. 1721-1724.
SPARL, Primoz. On the classification of quartic half-arc-transitive metacirculants. In Discrete mathematics. ISSN 0012-365X, 2009, vol. 309, no. 8, pp. 2271-2283.
MARUSIC, Dragan - SPARL, Primoz. On quartic half-arc-transitive metacirculants. In Journal of algebraic combinatorics. ISSN 0925-9899, 2008, vol. 28, no. 3, pp. 365-395.
SPARL, Primoz. A classification of tightly attached half-arc-transitive graphs of valency 4. In Journal of combinatorial theory series B. ISSN 0095-8956, 2008, vol. 98, no. 5, pp. 1076-1108.
FENG, Yan-Quan - KWAK, Jin Ho - ZHOU, Chuixiang. Constructing even radius tightly attached half-arc-transitive graphs of valency four. In Journal of algebraic combinatorics. ISSN 0925-9899, 2007, vol. 26, no. 4, pp. 431-451.
ZHOU, Chuixiang - FENG, Yan-Quan. An infinite family of tetravalent half-arc-transitive graphs. In Discrete mathematicsISCRETE MATHEMATICS. ISSN 0012-365X, 2006, vol. 306, no. 18, pp. 2205-2211.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika article
Title Join and intersection of hypermaps Author info Antonia Breda D'Azevedo, Roman Nedela Author Breda d'Azevedo Antonio (50%)
Co-authors Nedela Roman 1960- (50%) UMBFP10 - Katedra matematiky
Source document Acta Universitatis Matthiae Belii : series mathematics, No. 9. S. 13-28. - Banská Bystrica : Univerzita Mateja Bela, 2001 / Smutná-Hliněná Dana ; Karabáš Ján 1977- ; Smutná-Hliněná Dana ; Karabáš Ján 1977- Keywords matematika - mathematics hypermapy Language English Country Slovak Republic systematics 51 Public work category AED Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised