Diagonal flips of triangulations on closed surfaces preserving specified properties
type: Item
instance of: scholarly article
title: Diagonal flips of triangulations on closed surfaces preserving specified properties
zbMATH Open document ID: 0861.05021
author: Richard Brunet
author: Atsuhiro Nakamoto
author: Seiya Negami
published in: Journal of Combinatorial Theory. Series B
publication date: 1997-05-04T00:00:00Z
review text: Consider a class \(\mathcal P\) of triangulations on a closed surface \(F^2\), closed under vertex splitting. We show that any two triangulations with the same and sufficiently large number of vertices which belong to \(\mathcal P\) can be transformed into each other, up to homeomorphism, by a finite sequence of diagonal flips through \(\mathcal P\). Moreover, if \(\mathcal P\) is closed under homeomorphism, then the condition ``up to homeomorphism'' can be replaced with ``up to isotopy''.
Mathematics Subject Classification ID: 05C10
zbMATH DE Number: 954829
zbMATH Keywords: triangulations
zbMATH Keywords: closed surface
zbMATH Keywords: diagonal flips
MaRDI profile type: Publication
full work available at URL: jctb.1996.0070
OpenAlex ID: W2107975212
DOI: 10.1006/JCTB.1996.0070
description: scientific article; zbMATH DE number 954829