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Graphs and closed surfaces associated with a pairing of edges for regular polygons
Title: | Graphs and closed surfaces associated with a pairing of edges for regular polygons |
Authors : | Jesus, Catarina Mendes de Romero Sánchez, Pantaleón David |
Keywords: | Graph theory.; Surfaces.; Superficies (Matemáticas); Grafos, Teoría de. |
Publisher: | Springer Nature |
Citation: | Jesus, C.M. de & Romero, P.D. (2020). Graphs and closed surfaces associated with a pairing of edges for regular polygons. Bulletin of the Brazilian Mathematical Society, New Series, vol. 51, i. 2 (jun.), pp. 527-541. DOI: https://doi.org/10.1007/s00574-019-00163-y |
Abstract: | In this paper, we de ne the concept of graph extension, embedded on a closed and orientable surfaces, associated to pairing of edges of regular polygons in order to show that the K-regular pairing of edges graphs can be obtained by the canonical extension of graphs (graphs with a single vertex). We will present examples of K-regular graphs associated to surfaces with genus g < 3. |
Description: | Este artículo se encuentra disponible en la siguiente URL: https://link.springer.com/article/10.1007/s00574-019-00163-y This is a pre-print of an article published in Jesus, C.M. de & Romero Sánchez, P.D. (2020). Graphs and closed surfaces associated with a pairing of edges for regular polygons. Bulletin of the Brazilian Mathematical Society, vol. 51, i. 2 (jun. 2020), pp. 527-541. The final authenticated version is available online at: https://doi.org/10.1007/s00574-019-00163-y Este es el pre-print del siguiente artículo: Jesus, C.M. de & Romero Sánchez, P.D. (2020). Graphs and closed surfaces associated with a pairing of edges for regular polygons. Bulletin of the Brazilian Mathematical Society, vol. 51, i. 2 (jun. 2020), pp. 527-541, que se ha publicado de forma definitiva en https://doi.org/10.1007/s00574-019-00163-y |
URI: | http://hdl.handle.net/10637/13242 |
Rights : | http://creativecommons.org/licenses/by-nc-nd/4.0/deed.es |
ISSN: | 1678-7544. 1678-7714 (Electrónico) |
Issue Date: | 1-Jun-2020 |
Center : | Universidad Cardenal Herrera-CEU |
Appears in Collections: | Dpto. Matemáticas, Física y Ciencias Tecnológicas |
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