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Názov Archimedean maps of higher genera Aut.údaje Ján Karabáš, Roman Nedela Autor Karabáš Ján 1977- (50%) UMBFP12 - Inštitút matematiky a informatiky
Spoluautori Nedela Roman 1960- (50%) UMBFP12 - Inštitút matematiky a informatiky
Zdroj.dok. Mathematics of Computation. Vol. 81, no. 277 (2012), pp. 569-583. - Providence : American Mathematical Society, 2012 Kľúč.slová polyhedron Archimedean solid surfaces groups graph embedding regular maps Cayley maps genus Jazyk dok. angličtina Krajina Spojené štáty Systematika 51 Anotácia The paper focuses on the classification of vertex-transitive polyhedral maps of genus from 2 to 4. These maps naturally generalise the spherical maps associated with the classical Archimedean solids. Our analysis is based on the fact that each Archimedean map on an orientable surface projects onto a one- or a two-vertex quotient map. For a given genus g>= 2 the number of quotients to consider is bounded by a function of g. All Archimedean maps of genus g can be reconstructed from these quotients as regular covers with covering transformation group isomorphic to a group G from a set of g-admissible groups. Since the lists of groups acting on surfaces of genus 2,3, and 4 are known, the problem can be solved by a computer-aided case-to-case analysis Kategória publikačnej činnosti ADC Číslo archívnej kópie 22535 Kategória ohlasu PISANSKI, Tomaz - WILLIAMS, Gordon - BERMAN, Leah Wrenn. Operations on oriented maps. In Symmetry-basel. ISSN 2073-8994, 2017, vol. 9, no. 11.
LEOPOLD, Undine. Vertex-transitive polyhedra of higher genus, I. In Discrete and computational geometry. ISSN 0179-5376, 2017, vol. 57, no. 1, pp. 125-151.
GÉVAY, Gabor - SCHULTE, Egon - WILLS, Joerg M. The regular Grunbaum polyhedron of genus 5. In Advances in geometry. ISSN 1615-715X, 2014, vol. 14, no. 3, pp. 465-482.
PELLICER, Daniel. Vertex-transitive maps with Schlafli type {3,7}. In Discrete mathematics. ISSN 0012-365X, 2014, vol. 317, pp. 53-74.
UPADHYAY, Ashish K. - TIWARI, Anand K. - MAITY, Dipendu. Semi-equivelar maps. In Beitrage zur Algebra und Geometrie. ISSN 0138-4821, 2014, vol. 55, no. 1, pp. 229-242.
TIWARI, Anand Kumar - UPADHYAY, Ashish Kumar. Semi-equivelar maps on the surface of Euler characteristic - 1. In Note di matematica. ISSN 1123-2536, 2017, vol. 37, no. 2, pp. 91-102.
MAITI, Arun. Quasi-vertex-transitive maps on the plane. In Disctere mathematics. ISSN 0012-365X, 2020, vol. 343, no. 7.
DATTA, Basudeb - MAITY, Dipendu. Semi-equivelar and vertex-transitive maps on the torus (vol 58, pg 617, 2017). In Beitrage zur algebra und geometrie-contributions to algebra and geometry. ISSN 0138-4821, 2020, vol. 61, no. 1, pp. 187-188.
TIWARI, Anand K. - TRIPATHI, Amit - SINGH, Yogendra - GUPTA, Punam. Doubly semiequivelar maps on Torus and Klein bottle. In Journal of mathematics. ISSN 2314-4629, 2020, vol. 2020, art. no. 5674172.
DATTA, Basudeb - GUPTA, Subhojoy. Semi-regular tilings of the hyperbolic plane. In Discrete & computational geometry. ISSN 0179-5376, 2019, DOI: 10.1007/s00454-019-00156-0.
UPADHYAY, Ashish Kumar. Symmetries of maps on surfaces. In Complex Symmetries. 1. vyd. Cham : Birkhäuser, 2021. ISBN 978-3-030-88058-3, pp. 35-42.
SINGH, Yogendra - TIWARI, Anand Kumar. Doubly semi-equivelar maps on the plane and the torus. In AKCE international journal of graphs and combinatorics. ISSN 0972-8600, 2022, vol. 19, no. 3, pp. 296-310.
BHOWMIK, Debashis - UPADHYAY, Ashish Kumar. Some semi-equivelar maps of Euler characteristics-2. In National Academy Science letters. ISSN 0250-541X, 2021, vol. 44, no. 5, pp. 433-436.
MELINON, Patrice. Vitreous carbon, geometry and topology : a hollistic approach. In Nanomaterials. ISSN 2079-4991, 2021, vol. 11, no. 7, pp. 1-40.
DATTA, Basudeb - MAITY, Dipendu. Correction to : semi-equivelar and vertex-transitive maps on the torus. In Beiträge zur Algebra und Geometrie. ISSN 0138-4821, 2020, vol. 61, pp. 187–188.
Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy (1) - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
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Názov The order of elements in SL (2, p) Aut.údaje Ondrej Šuch Autor Šuch Ondrej 1972- (100%) UMBFP05 - Katedra informatiky
Zdroj.dok. The Mathematical Gazette : journal of the mathematical association. Č. 2 (2011), s. 37-44. - London : Mathematical Association, 2011 Kľúč.slová grupy groups konečné polia finite fields Cayleyho graf Cayley graph Jazyk dok. angličtina Krajina Veľká Británia Systematika 512.54 Kategória publikačnej činnosti ADE Číslo archívnej kópie 24487 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ nerozpoznaný
Názov Archimedean solids of genus two Súbež.n. Archimedove telesá bodu dva Aut.údaje Ján Karabáš, Roman Nedela Autor Karabáš Ján 1977- UMBUV01 - Ústav vedy a výskumu
Spoluautori Nedela Roman 1960- UMBFP10 - Katedra matematiky
Zdroj.dok. Electronic Notes in Discrete Mathematics. No. 28(2007), pp. 331-339. - Amsterdam : Elsevier, 2007 Poznámka abstrakt In: Electronic Notes in Discrete Mathematics. - Č. 28 (2007), s. [1 s.]. - Amsterdam : Elsevier B. V., 2007. - Bibl.: s. 338-339 Kľúč.slová archimedovské teleso grupy mapy - maps Archimedean solid groups graph embedding surfaces Jazyk dok. angličtina Krajina Holandsko Systematika 51 Anotácia Res. angl. Kategória publikačnej činnosti ADE Číslo archívnej kópie 4823 Kategória ohlasu PELLICER, Daniel. Vertex-transitive maps with Schlafli type {3,7}. In Discrete mathematics. ISSN 0012-365X, 2014, vol. 317, pp. 53-74.
TIWARI, Anand Kumar - UPADHYAY, Ashish Kumar. Semi-equivelar maps on the surface of Euler characteristic - 1. In Note di matematica. ISSN 1123-2536, 2017, vol. 37, no. 2, pp. 91-102.
KUMAR TIWARI, Anand - KUMAR UPADHYAY, Ashish. Semi-equivelar maps on the torus and the Klein bottle with few vertices. In Mathematica Slovaca. ISSN 0139-9918, 2017, vol. 67, no. 2, pp. 519-532.
UPADHYAY, Ashish K. - TIWARI, Anand K. - MAITY, Dipendu. Semi-equivelar maps. In Beitrage zur Algebra und Geometrie. ISSN 0138-4821, 2014, vol. 55, no. 1, pp. 229-242.
ŠUCH, O. Vertex-transitive maps on a torus. In Acta Mathematica Universitatis Comenianae. ISSN 0862-9544, 2011, vol. 80, no. 1, pp. 1-30.
UPADHYAY, A.K. - TAWARI A.K. - MAITY, D. Some semi-equivelar maps. In arXiv:1101.0671 [math.GT] [online]. New York : Cornell Univerisity Library, 2011, pp. [1-20] [cit. 2018-22-02]. Dostupné na: https://arxiv.org/pdf/1101.0671.pdf
JENDROĽ, Stanislav - ŠKRABUĽÁKOVÁ, Erika. Facial non-repetitive edge colouring of semiregular polyhedra. In Acta Universitatis Matthiae Belii : series Mathematics. Banská Bystrica : Ústav vedy a výskumu Univerzity Mateja Bela v Banskej Bystrici, 2009. ISBN 978-80-8083-906-2, s. 37-52.
TIWARI, Anand K. - TRIPATHI, Amit - SINGH, Yogendra - GUPTA, Punam. Doubly semiequivelar maps on Torus and Klein bottle. In Journal of mathematics. ISSN 2314-4629, 2020, vol. 2020, art. no. 5674172.
UPADHYAY, Ashish Kumar. Symmetries of maps on surfaces. In Complex Symmetries. 1. vyd. Cham : Birkhäuser, 2021. ISBN 978-3-030-88058-3, pp. 35-42.
SINGH, Yogendra - TIWARI, Anand Kumar. Doubly semi-equivelar maps on the plane and the torus. In AKCE international journal of graphs and combinatorics. ISSN 0972-8600, 2022, vol. 19, no. 3, pp. 296-310.
Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ 
článok
Názov Non-existence of nonorientable regular embeddings of n-dimensional cubes Aut.údaje Young-Soo Kwon, Roman Nedela Autor Kwon Young-Soo (10%)
Spoluautori Nedela Roman 1960- (90%) UMBFP10 - Katedra matematiky
Zdroj.dok. Discrete Mathematics. Roč. 307, č. 3-5 (2007), s. 511-516 Poznámka Bibl.: s. 516 Kľúč.slová grafy - charts - graphs groups regular embedding regular maps Jazyk dok. angličtina Krajina Holandsko Anotácia Res. angl. Kategória publikačnej činnosti ADE Číslo archívnej kópie 7184 Kategória ohlasu WANG, Furong - DU, Shao-Fei. Nonorientable regular embeddings of graphs of order pq. In Science China - Mathematics. ISSN 1674-7283, 2011, vol. 54, no. 2, pp. 351-363.
DU, Shao-Fei - KWAK, Jin Ho. Nonorientable regular embeddings of graphs of order p(2). In Discrete mathematics. ISSN 0012-365X, 2010, vol. 310, no. 12, pp. 1743-1751.
XU, Jing. A classification of regular embeddings of hypercubes Q (2m) with m odd. In Science in China series A - Mathematics. ISSN 1006-9283, 2007, vol. 50, no. 12, pp. 1673-1679.
Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ nerozpoznaný
Názov Archimedean solids of genus two Aut.údaje Ján Karabáš, Roman Nedela Autor Karabáš Ján 1977- (50%) UMBUV01 - Ústav vedy a výskumu
Spoluautori Nedela Roman 1960- (50%) UMBFP10 - Katedra matematiky
Zdroj.dok. Electronic Notes in Discrete Mathematics. Č. 28 (2007), s. [1 s.]. - Amsterdam : Elsevier B. V., 2007 Kľúč.slová Archimedean solid mapy - maps surfaces groups graph embedding Jazyk dok. angličtina URL http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B75GV-4N5M9FJ-1P&_user=3838381&_coverDate=03%2F01%2F2007&_alid=652089114&_rdoc=2&_fmt=summary&_orig=search&_cdi=13104&_sort=d&_docanchor=&view=c&_ct=6&_acct=C000061505&_version=1&_urlVersion=0&_userid=3838381&md5=a02e7b64292f0adf4785e661fd66f011 Kategória publikačnej činnosti AFG Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ nerozpoznaný