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Title On discrete versions of two Accola´s theorems about automorphism groups of Riemann surfaces Author info Maxim Limonov, Roman Nedela, Alexander Mednykh Author Limonov Maksim (33%)
Co-authors Nedela Roman 1960- (34%) UMBFP05 - Katedra informatiky
Mednykh Alexander 1953- (33%)
Source document Analysis and Mathematical Physics. Vol. 7, no. 3 (2017), pp. 233-243. - Cham : Springer Nature Switzerland AG, 2017 Keywords Riemanove plochy - Riemann surfaces grafy - charts - graphs automorphism groups hyperelliptic graphs hyperelliptic involutions harmonic maps Language English Country Switzerland systematics 51 Annotation In this paper we give a few discrete versions of Robert Accola’s results on Riemann surfaces with automorphism groups admitting partitions. As a consequence, we establish a condition for γ-hyperelliptic involution on a graph to be unique. Also we construct an infinite family of graphs with more than one γ-hyperelliptic involution. Public work category ADC No. of Archival Copy 41751 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 Analysis and Mathematical Physics Issue data Cham : Springer Nature Switzerland AG , 2017 ISSN 1664-23681664-235X Form. Descr. časopisy - journals Year, No. Vol. 7 no. 3 (2017) Language English Country Switzerland URL Link na zdrojový dokument Public work category GII Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References - PERIODIKÁ - Súborný záznam periodika (1) - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika ARTICLES 2017: On discrete versions of two Accola´s theorems about automorphism groups of Riemann surfaces 
journal
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 Analysis and Mathematical Physics Issue data Cham : Springer Nature Switzerland AG , 2016 ISSN 1664-23681664-235X Form. Descr. časopisy - journals Year, No. Vol. 6 no. 3 (2016) Language English Country Switzerland URL Link na zdrojový dokument Public work category GII Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References - PERIODIKÁ - Súborný záznam periodika (1) - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika ARTICLES 2016: Counting hypermaps by Egorychev’s method journal