Surgeries of pairing of Edges associated to trivalent graphs

Our purpose is to study the pairings of edges of hyperbolic polygonswith p edges, who are associated with a tessellation { p , q } = {12 g −6, 3}, where g corresponds to the genus of the surface.We will define surgeries of pairings of edges associated with this tessellation, which allows us to get f...

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Bibliographic Details
Published inBoletim da Sociedade Brasileira de Matemática Vol. 47; no. 4; pp. 1085 - 1095
Main Authors Faria, M. B., Mendes de Jesus, C., Sanchez, P. D. R.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2016
Springer Nature B.V
Subjects
Graphs
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Surgery
Tessellation
Theoretical
14J80
57N05
surgeries
57M15
pairing of edges
trivalent graphs
closed surfaces
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Summary:Our purpose is to study the pairings of edges of hyperbolic polygonswith p edges, who are associated with a tessellation { p , q } = {12 g −6, 3}, where g corresponds to the genus of the surface.We will define surgeries of pairings of edges associated with this tessellation, which allows us to get families of pairings graphs, for all g .
ISSN:1678-7544
1678-7714
DOI:10.1007/s00574-016-0205-3