Jesus, Catarina Mendes deRomero Sánchez, Pantaleón DavidUCH. Departamento de Matemáticas, Física y Ciencias TecnológicasProducción Científica UCH 20202021-12-012021-12-012020-06-01Jesus, 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-y1678-7544.1678-7714 (Electrónico)http://hdl.handle.net/10637/13242Este artículo se encuentra disponible en la siguiente URL: https://link.springer.com/article/10.1007/s00574-019-00163-yThis 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-yEste 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-yIn 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.application/pdfenopen accessGraph theory.Surfaces.Superficies (Matemáticas)Grafos, Teoría de.Artículohttps://doi.org/10.1007/s00574-019-00163-yhttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es