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Title Maximum genus, connectivity, and Nebesky's Theorem Author info Dan Archdeacon, Michal Kotrbčík, Roman Nedela, Martin Škoviera Author Archdeacon Dan (25%)
Co-authors Kotrbčík Michal (25%)
Nedela Roman 1960- (25%) UMBFP05 - Katedra informatiky
Škoviera Martin (25%)
Source document Ars Mathematica Contemporanea. Vol. 9, no. 1 (2015), pp. 51-61. - Koper : Univerza na Primorskem, 2015 Keywords maximum genus connectivity cycle rank Language English Country Slovenia systematics 510 Public work category ADC No. of Archival Copy 35317 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika Title Úsilí knížecího rodu Lichtenštejnů o získání a udržení vlastního státu Subtitle sborník textů resumé z referátu přednesených na mezinárodní vědecké konferenci konané ve dnech 15. a 16. listopadu na zámku Valtice Author info zostavili: Petr Kadlec a Michaela Závodná Another authors Kadlec Petr (Compiler)
Závodná Michaela (Compiler)
Issue data Ostrava : Centrum pro hospodářské a sociální dějiny Filozofické fakulty Ostravské univerzity v Ostravě , 2013. - 70 s. : fotogr., tab. Issue 1. vyd. ISBN 978-80-7464-225-8 Keywords kniežacie rody genealógia - genealogy kráľovstvá princes genus kingdoms Headings Geogr. Lichtenštajnsko Liechtenstein Language Czech Country Czech Republic systematics 929.731 (494.9) Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xkni - BOOKS Copy count 1, currently available 0, at library only 1 Call number Location Sublocation Umiestnenie Info 339610 Univerzita Mateja Bela Department of history In-Library Use Only Title Archimedean maps of higher genera Author info Ján Karabáš, Roman Nedela Author Karabáš Ján 1977- (50%) UMBFP12 - Inštitút matematiky a informatiky
Co-authors Nedela Roman 1960- (50%) UMBFP12 - Inštitút matematiky a informatiky
Source document Mathematics of Computation. Vol. 81, no. 277 (2012), pp. 569-583. - Providence : American Mathematical Society, 2012 Keywords polyhedron Archimedean solid surfaces groups graph embedding regular maps Cayley maps genus Language English Country United States of America systematics 51 Annotation 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 Public work category ADC No. of Archival Copy 22535 Repercussion category 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.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References (1) - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika Title Classification of Regular Embeddings of Hypercubes of Odd Dimension Author info Shao-Fei Du, Jin Ho Kwak, Roman Nedela Author Du Shaofei (40%)
Co-authors Kwak Jin Ho (10%)
Nedela Roman 1960- (50%) UMBFP10 - Katedra matematiky
Source document Discrete Mathematics. Roč. 307, č. 1 (2007), s. 119-124 Note Bibl.: s. 124 Keywords regular maps regular embedding hypercubes genus permutation groups Language English Country Netherlands systematics 51 Annotation Res. angl. Public work category ADE No. of Archival Copy 7182 Repercussion category JONES, Gareth A. Characterisations and Galois conjugacy of generalised Paley maps. In Journal of combinatorial theory series B. ISSN 0095-8956, 2013, vol. 103, no. 2, pp. 209-219.
ZHOU, Jin Xin - FENG, Yan Quan. Regular maps of graphs of order 4p. In Acta mathematica sinica. ISSN 1439-8516, 2012, vol. 28, no. 5, pp. 989-1012.
JONES, Gareth A. Classification and Galois conjugacy of Hamming maps. In Ars mathematica contemporanea. ISSN 1855-3966, 2011, vol. 4, no. 2, pp. 313-328.
D´AZEVEDO, Antonio Breda - FERNANDES, Maria Elisa. Classification of primer hypermaps with a prime number of hyperfaces. In European journal of combinatorics. ISSN 0195-6698, 2011, vol. 32, no. 2, pp. 233-242.
KNOR, Martin - SIRAN, Jozef. Regular hamiltonian embeddings of K-n,K-n and regular triangular embeddings of K-n,K-n,K-n. In Discrete mathematics. ISSN 0012-365X, 2008, vol. 308, no. 20, pp. 4796-4800.
JONES, Gareth A. - KOOLEN, J - KWAK, JH - XU, MY. Complete bipartite maps, factorisable groups and generalised Fermat curves. In Appliclations of group theory in combinatorics. Boca Raton : CRC Press - Taylor & Francis group, 2008. ISBN 978-0-415-47184-8, pp. 43.
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.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ