An algorithm for the determination of graphs associated to fold maps between closed surfaces

An algorithm for the determination of graphs associated to fold maps between closed surfaces

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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Veröffentlicht in:Mathematical methods in the applied sciences 2020-09, Vol.43 (14), p.8177-8191
Hauptverfasser: Romero, Pantaleón D., Coêlho, Jéferson R. P., Mendes de Jesus, Catarina
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
fold maps
graph algorithms design
graphs
signed and weighted graphs
Software
topological aspects of graph theory
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Zusammenfassung: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6288