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  1. TitleChiral maps of given hyperbolic type
    Author infoMarston D. E. Conder ... [et al.]
    Author Conder Marston D. E. (25%)
    Co-authors Hucíková Veronika (25%)
    Nedela Roman 1960- (25%) UMBFP05 - Katedra informatiky
    Širáň Jozef (25%)
    Source document Bulletin of the London Mathematical Society. Vol. 48, no. 1 (2016), pp. 38-52. - Oxford : Oxford University Press, 2016
    Keywords pravidelné mapy   regular maps   Riemannove variety - Riemannian manifolds   Riemanove plochy - Riemann surfaces   hypermapy   hypermaps  
    LanguageEnglish
    CountryGreat Britian
    systematics 51
    Public work category ADC
    No. of Archival Copy36694
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
    unrecognised

    unrecognised

  2. TitleCounting hypermaps by Egorychev’s method
    Author infoAlexander Mednykh, Roman Nedela
    Author Mednykh Alexander 1953- (50%) UMBFP10 - Katedra matematiky
    Co-authors Nedela Roman 1960- (50%) UMBFP10 - Katedra matematiky
    Source document Analysis and Mathematical Physics. Vol. 6, no. 3 (2016), pp. 301-314. - Cham : Springer Nature Switzerland AG, 2016
    Keywords Fuchsian groups   hypermapy   hypermaps   matematika - mathematics  
    LanguageEnglish
    CountryGermany
    systematics 51
    Annotation© 2015, Springer Basel.The aim of this paper is to find explicit formulae for the number of rooted hypermaps with a given number of darts on an orientable surface of genus g≤ 3. Such formulae were obtained earlier for g= 0 and g= 1 by Walsh and Arquès respectively. We first employ the Egorychev’s method of counting combinatorial sums to obtain a new version of the Arquès formula for genus g= 1. Then we apply the same approach to get new results for genus g= 2 , 3. We could do it due to recent results by Giorgetti, Walsh, and Kazarian, Zograf who derived two different, but equivalent, forms of the generating functions for the number of hypermaps of genus two and three.
    Public work category ADC
    No. of Archival Copy36932
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
    unrecognised

    unrecognised

  3. TitleCensus of quadrangle groups inclusions
    Author infoAntónio 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  
    LanguageEnglish
    CountryUnited States of America
    systematics 51
    Public work category AFC
    No. of Archival Copy36718
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    unrecognised

    unrecognised

  4. TitleChirality groups of maps and hypermaps
    Author infoAntonio 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. - New York : Springer, 2009
    Keywords algebra - algebra   kombinatorika - kombinatorická analýza - combinatorics - combinatorial analysis   mapy - maps   hypermaps  
    LanguageEnglish
    CountryUnited States of America
    systematics 512
    Public work category ADE
    No. of Archival Copy13835
    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
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
    unrecognised

    unrecognised

  5. TitleMaps, Hypermaps and Related Topics
    Author infoRoman Nedela
    Author Nedela Roman 1960- (100%) UMBFP10 - Katedra matematiky
    Issue dataPohang : Combinatorial and Computational Mathematics Center : Pohang University of Science and Technology , 2007. - 86 s.
    ISBN[neuvedené]
    Keywords mapy - maps   hypermaps  
    LanguageEnglish
    CountryKorea
    systematics 519.1
    Public work category AAA
    No. of Archival Copy7187
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    unrecognised

    unrecognised



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