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Graphs and closed surfaces associated with a pairing of edges for regular polygons


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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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