Diagonal flips in outer-torus triangulations
type: Item
instance of: scholarly article
title: Diagonal flips in outer-torus triangulations
zbMATH Open document ID: 0951.05027
DOI: 10.1016/S0012-365X(99)00239-3
author: Carmen Cortés
author: Atsuhiro Nakamoto
published in: Discrete Mathematics
publication date: 2000-12-11T00:00:00Z
review text: An outer-torus triangulation is introduced as a triangulation of a simple graph on the torus such that there exists a face on whose boundary each of its vertices appears exactly once. Then, the authors show that for any two outer-torus triangulations \(T_1\) and \(T_2\), there exists a sequence of diagonal flips by which \(T_1\) can be transformed into another which is homeomorphic to \(T_2\). This is analogous to the well-known planar case.
Mathematics Subject Classification ID: 05C10
Mathematics Subject Classification ID: 05C38
zbMATH DE Number: 1455602
zbMATH Keywords: triangulation
zbMATH Keywords: torus
zbMATH Keywords: diagonal flip
reviewed by: Yanpei Liu
MaRDI profile type: Publication
full work available at URL: s0012-365x(99)00239-3
OpenAlex ID: W1972840781
description: scientific article; zbMATH DE number 1455602