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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 
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Title Recent progress in enumeration of hypermaps Author info A. Mednykh, R. Nedela Author Mednykh Alexander 1953- (50%) UMBFP10 - Katedra matematiky
Co-authors Nedela Roman 1960- (50%) UMBFP12 - Inštitút matematiky a informatiky
Source document Zapiski nauchnykh seminarov POMI. online, vol. 446 (2016), pp. 139-164. - St. Petersburg : POMI, 2016 Keywords kombinatorická enumerácia - combinatorial enumeration surfaces orbifold rooted hypermap unrooted hypermaps Fuchsian groups Language English Country Russian Federation systematics 51 URL http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=znsl&paperid=6287&option_lang=rus Public work category ADE No. of Archival Copy 36959 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
article
Title Counting hypermaps by Egorychev’s method Author info Alexander 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 Language English Country Germany 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 Copy 36932 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Enumeration of Unrooted hypermaps Author info Alexander Mednykh, Roman Nedela Author Mednykh Alexander 1953- (50%)
Co-authors Nedela Roman 1960- (50%) UMBFP10 - Katedra matematiky
Source document Electronic Notes of Discrete Mathematics. Roč. 28, č. 1 (2007), s. 207-214 Issue data 2007 Keywords kombinatorická enumerácia - combinatorial enumeration surfaces orbifold rooted hypermap unrooted hypermaps Fuchsian groups Language English URL http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B75GV-4N5M9FJ-13 Public work category ADE No. of Archival Copy 9448 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised