Tight time bounds for the minimum local convex partition problem
Author
Summary, in English
Let v be a vertex with n edges incident to it, such that the n edges partition an infinitesimally small circle C around v into convex pieces. The minimum local convex partition (MLCP) problem asks for two or three out of the n edges that still partition C into convex pieces and that are of minimum total length. We present an optimal algorithm solving the problem in linear time if the edges incident to v are sorted clockwise by angle. For unsorted edges our algorithm runs in O(n log n) time. For unsorted edges we also give a linear time approximation algorithm and a lower time bound
Department/s
- Computer Science
Publishing year
2004
Language
English
Pages
95-105
Publication/Series
Discrete and Computational Geometry. Japanese Conference, JCDCG 2004. Revised Selected Papers / Lecture Notes in Computer Science)
Volume
3742
Document type
Book chapter
Publisher
Springer
Topic
- Computer Science
Keywords
- linear time approximation algorithm
- lower time bound
- optimal algorithm
- edge partition
- minimum local convex partition problem
- unsorted edges
- tight time bound
Status
Published
Project
- VR 2002-4049
ISBN/ISSN/Other
- ISBN: 3-540-30467-3