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Regular Flips in mptopcom

Authors :
Kastner, Lars
Publication Year :
2024

Abstract

A triangulation of a point configuration is regular if it can be given by a height function, that is every point gets lifted to a certain height and projecting the lower convex hull gives the triangulation. Checking regularity of a triangulation usually is done by solving a linear program. However when checking many flip-connected triangulations for regularity, one can instead ask which flips preserve regularity. When traversing the flip graph for enumerating all regular triangulations, this allows for vast reduction of the linear programs needing to be solved. At the same time the remaining linear programs will be much smaller.<br />Comment: 8 pages, 2 figures, 2 tables

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2405.18010
Document Type :
Working Paper