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Title Chiral maps of given hyperbolic type Author info Marston D. E. Conder ... [et al.] Author Conder Marston D. E. (25%)
Co-authors Hucíková Veronika (25%)
Nedela Roman 1960- (25%) UMBFP05 - Katedra informatiky
Širáň Jozef (25%)
Source document Bulletin of the London Mathematical Society. Vol. 48, no. 1 (2016), pp. 38-52. - Oxford : Oxford University Press, 2016 Keywords pravidelné mapy regular maps Riemannove variety - Riemannian manifolds Riemanove plochy - Riemann surfaces hypermapy hypermaps Language English Country Great Britian systematics 51 Public work category ADC No. of Archival Copy 36694 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 2-Groups that factorise as products of cyclic groups, and regular embeddings of complete bipartite graphs Author info Shaofei Du ... [et al.] Author Du Shaofei (20%)
Co-authors Jones Gareth (20%)
Kwak Jin Ho (20%)
Nedela Roman 1960- (20%) UMBFP12 - Inštitút matematiky a informatiky
Škoviera Martin (20%)
Source document Ars Mathematica Contemporanea. Vol. 6, no. 1 (2013), pp. 155-170. - Koper : Univerza na Primorskem, 2013 Keywords complete bipartite graphs product of cyclic groups regular maps Language English Country Slovenia systematics 51 Public work category ADM No. of Archival Copy 26465 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
article
Title Almost totally branched covers between regular maps Author info Roman Nedela, Kan Hu, Naer Wang Author Nedela Roman 1960- (34%) UMBFP10 - Katedra matematiky
Co-authors Hu Kan 1978- (33%) UMBFP10 - Katedra matematiky
Wang Naer 1979- (33%) UMBFP10 - Katedra matematiky
Source document CSASC 2013 : abstracts of the joint mathematical conference of the Catalan mathematical society, Slovenian mathematical society, Austrian mathematical society, Slovak mathematical society, and Czech mathematical society, Koper, Slovenia, 9 - 13 June 2013. S. 81. - Koper : University of Primorska Press, 2013 ; CSASC 2013 matematická konferencia Keywords matematika - mathematics pravidelné mapy regular maps Language English Country Slovenia systematics 51 Public work category AFG No. of Archival Copy 30286 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
Title Regular maps with nilpotent automorphism groups Author info Aleksander Malnic, Roman Nedela, Martin Škoviera Author Malnič Aleksander (34%)
Co-authors Nedela Roman 1960- (33%) UMBFP12 - Inštitút matematiky a informatiky
Škoviera Martin (33%)
Source document European Journal of Combinatorics. Vol. 33, no. 8 (2012), pp. 1974-1986. - London : Academic Press, 2012 Keywords matematika - mathematics grafy - charts - graphs regulárne mapy regular maps Language English Country Great Britian systematics 51 Annotation We study regular maps with nilpotent automorphism groups in detail. We prove that every nilpotent regular map decomposes into a direct product of maps H x K, where Aut (H) is a 2-group and K is a map with a single vertex and an odd number of semiedges. Many important properties of nilpotent maps follow from this canonical decomposition, including restrictions on the valency, covalency, and the number of edges. We also show that, apart from two well-defined classes of maps on at most two vertices and their duals, every nilpotent regular map has both its valency and covalency divisible by 4. Finally, we give a complete classification of nilpotent regular maps of nilpotency class 2. Public work category ADE No. of Archival Copy 28518 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika article
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 unrecognised
Title Classification of regular embeddings of n-dimensional cubes Author info Domenico A. Catalano ... [et al.] Author Catalano Domenico A. (17%)
Co-authors Conder Marston (17%)
Du Shaofei (17%)
Kwon Young-Soo (17%)
Nedela Roman 1960- (16%) UMBFP10 - Katedra matematiky
Wilson Steve (16%)
Source document Journal of Algebraic Combinatorics. Vol. 33, no. 2 (2011), pp. 215-238. - New York : Springer, 2011 Keywords matematika - mathematics hypercubes cubes regular maps regular embeddings Language English Country United States of America systematics 51 Public work category ADC No. of Archival Copy 19228 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.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika article
Title Complete bipartite graphs with a unique regular embedding Author info Gareth Jones, Roman Nedela, Martin Škoviera Author Jones Gareth (34%)
Co-authors Nedela Roman 1960- (33%) UMBFP10 - Katedra matematiky
Škoviera Martin (33%)
Source document Journal of Combinatorial Theory : Series B. Vol. 98, no. 2 (2008), pp. 241-248. - San Diego : Academic Press Inc. Elsevier Science, 2008 Keywords complete bipartite graphs regular maps regular embedding orientable surface product of cyclic groups Language English Country United States of America systematics 51 Public work category ADC No. of Archival Copy 9456 Repercussion category DU, Shaofei - ZHANG, Jun-Yang. A classification of orientably-regular embeddings of complete multipartite graphs. In European journal of combinatorics. ISSN 0195-6698, 2014, vol. 36, pp. 437-452.
FAN, Wenwen - LEEMANS, Dimitri - LI, Cai Heng - PAN, Jiangmin. Locally 2-arc-transitive complete bipartite graphs. In Journal of combinatorial theory series A. ISSN 0097-3165, 2013, vol. 120, no. 3, pp. 683-699.
ZHANG, Jun-Yang - DU, Shao-Fei. On the orientable regular embeddings of complete multipartite graphs. In European journal of combinatorics. ISSN 0195-6698, 2012, vol. 33, no. 6, pp. 1303-1312.
KWAK, Jin Ho - KWON, Young Soo. Classification of nonorientable regular embeddings of complete bipartite graphs. In Journal of combinatorial theory series B. ISSN 0095-8956, 2011, vol. 101, no. 4, pp. 191-205.
WANG FURONG - DU SHAOFEI. Nonorientable regular embeddings of graphs of order pq. In Science China - Mathematics. ISSN 1674-7283, 2011, vol. 54, no. 2, pp. 351-363.
JONES, Gareth A. Regular embeddings of complete bipartite graphs : classification and enumeration. In Proceedings of the London Mathematical Society. ISSN 0024-6115, 2010, vol. 101, part 2, pp. 427-453.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika article
Title Planar width of regular maps Author info Martin Mačaj, Jozef Širáň, Mária Ipolyiová Author Mačaj Martin (33%)
Co-authors Širáň Jozef (33%)
Grausová Mária 1976- (34%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Source document Electronic Notes in Discrete Mathematics : 6th Czech-Slovak International Symposium on Combinatorics, Graph Theory, Algorithms and Applications, Prague, Czech Republic, 10. - 16.7.2006. Vol. 28, No. March (2007), pp. 477-484. - : Elsevier, 2007 Keywords regulárne mapy planárna šírka regular maps planar width Language English systematics 511 Public work category AFC No. of Archival Copy 4823 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title A note on regular maps with large planar width Author info Mária Grausová Author Grausová Mária 1976- UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Source document Tatra Mountains mathematical publications. Vol. 36, no. 2 (2007), pp. 13-18. - Bratislava : Slovenská akadémia vied, 2007 Keywords regular maps triangle group planar width Language English systematics 511 Public work category ADF No. of Archival Copy 9714 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
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 unrecognised