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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 Title Discrete Mathematics Corporation Czech-Slovak international symposium on graph theory, combinatorics, algorithms and applications . medzinárodné sympózium , 7. , Slovakia , 07.-13.2013 Issue data Amsterdam : Elsevier B.V. , 2015 ISSN 0012-365X1872-681X Form. Descr. časopisy - journals, elektronické časopisy - electronic journals Year, No. Vol. 338 no. 10 special issue (2015) Language English Country Netherlands URL Link na zdrojový dokument 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 (2) - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika ARTICLES 2015: Maps of Archimedean class and operations on dessins, On Wiman's theorem for graphs Title On Wiman's theorem for graphs Author info Alexander Mednykh, Ilya Mednykh Author Mednykh Alexander 1953- (75%) UMBFP10 - Katedra matematiky
Co-authors Mednykh Ilya (25%)
Source document Discrete Mathematics. Vol. 338, no. 10 special issue (2015), pp. 1793-1800. - Amsterdam : Elsevier B.V., 2015 ; Czech-Slovak international symposium on graph theory, combinatorics, algorithms and applications medzinárodné sympózium Keywords matematika - mathematics grafy - charts - graphs Language English Country Netherlands systematics 51 Annotation © 2015 Elsevier B.V.Abstract The aim of the paper is to find discrete versions of the Wiman theorem which states that the maximum possible order of an automorphism of a Riemann surface of genus g≥2 is 4g+2. The role of a Riemann surface in this paper is played by a finite connected graph. The genus of a graph is defined as the rank of its homology group. Let ZinfN/inf be a cyclic group acting freely on the set of directed edges of a graph X of genus g≥2. We prove that N≤2g+2. The upper bound N=2g+2 is attained for any even g. In this case, the signature of the orbifold X/ZinfN/inf is (0;2,g+1), that is X/ZinfN/inf is a tree with two branch points of order 2 and g+1 respectively. Moreover, if N<2g+2, then N≤2g. The upper bound N=2g is attained for any g≥2. The latter takes a place when the signature of the orbifold X/ZinfN/inf is (0;2,2g). Public work category AFC No. of Archival Copy 36748 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika