An algorithm for the determination of graphs associated to fold maps between closed surfaces
Corresponding Author
Pantaleón D. Romero
ESI International Chair@CEU-UCH, Departamento de Matemáticas, Física y Ciencias, Tecnológicas, Universidad Cardenal Herrera-CEU, CEU Universities, Valencia, Spain
Correspondence
Pantaleón D. Romero, Departamento de Matemáticas, Física y Ciencias, Tecnológicas, Universidad Cardenal Herrera-CEU, C/ San Bartolomé, 55, 46115 Alfara del Patriarca. Spain.
Email: [email protected]
Communicated by: J.R. Torregrosa
Search for more papers by this authorJéferson R. P. Coêlho
Departamento de Informática, Pontifícia Universidade Católica do Rio de Janeiro, Rio de Janeiro, Brazil
Departamento de Matemática, Universidade Federal de Juiz de Fora, Juiz de Fora, Brazil
Search for more papers by this authorCatarina Mendes de Jesus
Departamento de Matemática, Universidade Federal de Juiz de Fora, Juiz de Fora, Brazil
Search for more papers by this authorCorresponding Author
Pantaleón D. Romero
ESI International Chair@CEU-UCH, Departamento de Matemáticas, Física y Ciencias, Tecnológicas, Universidad Cardenal Herrera-CEU, CEU Universities, Valencia, Spain
Correspondence
Pantaleón D. Romero, Departamento de Matemáticas, Física y Ciencias, Tecnológicas, Universidad Cardenal Herrera-CEU, C/ San Bartolomé, 55, 46115 Alfara del Patriarca. Spain.
Email: [email protected]
Communicated by: J.R. Torregrosa
Search for more papers by this authorJéferson R. P. Coêlho
Departamento de Informática, Pontifícia Universidade Católica do Rio de Janeiro, Rio de Janeiro, Brazil
Departamento de Matemática, Universidade Federal de Juiz de Fora, Juiz de Fora, Brazil
Search for more papers by this authorCatarina Mendes de Jesus
Departamento de Matemática, Universidade Federal de Juiz de Fora, Juiz de Fora, Brazil
Search for more papers by this authorAbstract
The aim of this paper is to introduce a computational tool that checks theoretical conditions in order to determine whether a weighted graph, as a topological invariant of stable maps, can be associated to stable maps without cusps (ie, fold maps) from closed surfaces to the projective plan.
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Special Issue:Mathematical Modelling in Engineering & Human Behaviour 2018
30 September 2020
Pages 8177-8191
