Diagonal flips in outer-triangulations on closed surfaces

We show that any two outer-triangulations on the same closed surface can be transformed into each other by a sequence of diagonal flips, up to isotopy, if they have a sufficiently large and equal number of vertices.

Detalles Bibliográficos
Autores: Cortés Parejo, María del Carmen, Grima Ruiz, Clara Isabel, Márquez Pérez, Alberto, Nakamoto, Atsuhiro
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2002
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/34378
Acceso en línea:http://hdl.handle.net/11441/34378
https://doi.org/10.1016/S0012-365X(01)00353-3
Access Level:acceso abierto
Palabra clave:Triangulation
Outer-triangulation
Diagonal flip
Descripción
Sumario:We show that any two outer-triangulations on the same closed surface can be transformed into each other by a sequence of diagonal flips, up to isotopy, if they have a sufficiently large and equal number of vertices.