Vytlačiť
1. Archimedean maps of higher genera
| 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 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, art. no. 274, pp. 1-14. 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 Beiträge 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, art. no. 111911, pp. 1-8. 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, 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 and computational geometry. ISSN 0179-5376, 2021, vol. 65, no. 2, pp. 531-553. 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. |
| 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 |