Title
Planar Reconfiguration Of Monotone Trees
Abstract
A linkage is a collection of line segments. called bars, possibly joined at their ends; called joints. A planar reconfiguration of a, linkage is a continuous motion of their bars, preserving the length of each bar and disallowing bars to cross. In this paper. we introduce: a class of linkages, called "monotone trees," and give a method for reconfiguring a monotone tree to a straight line. If the tree has n joints, then the method takes at most n - 1 moves, each of which uses two joints. We also obtain an algorithm to find such a method in time O(n log n), rising space O(n). These time and space complexities are optimal.
Year
Venue
Keywords
2002
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
linkage, planar reconfiguration., monotone tree
DocType
Volume
Issue
Journal
E85A
5
ISSN
Citations 
PageRank 
0916-8508
1
0.63
References 
Authors
0
3
Name
Order
Citations
PageRank
Yoshiyuki Kusakari1103.34
Masaki Sato211.30
Takao Nishizeki31771267.08