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Counting hypermaps by Egorychev’s method
Názov Counting hypermaps by Egorychev’s method Aut.údaje Alexander Mednykh, Roman Nedela Autor Mednykh Alexander 1953- (50%) UMBFP10 - Katedra matematiky
Spoluautori Nedela Roman 1960- (50%) UMBFP10 - Katedra matematiky
Zdroj.dok. Analysis and Mathematical Physics. Vol. 6, no. 3 (2016), pp. 301-314. - Cham : Springer Nature Switzerland AG, 2016 Kľúč.slová Fuchsian groups hypermapy hypermaps matematika - mathematics Jazyk dok. angličtina Krajina Nemecko Systematika 51 Anotácia © 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. Kategória publikačnej činnosti ADC Číslo archívnej kópie 36932 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
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