Title
Moving vertices to make drawings plane
Abstract
In John Tantalo's on-line game Planarity the player is given a non-plane straight-line drawing of a planar graph. The aim is to make the drawing plane as quickly as possible by moving vertices. In this paper we investigate the related problem MINMOVEDVERTICES which asks for the minimum number of vertex moves. First, we show that MINMOVEDVERTICES is NP-hard and hard to approximate. Second, we establish a connection to the graph-drawing problem 1BENDPOINTSETEMBED- DABILITY, which yields similar results for that problem. Third, we give bounds for the behavior of MINMOVEDVERTICES on trees and general planar graphs.
Year
DOI
Venue
2007
10.1007/978-3-540-77537-9_13
Clinical Orthopaedics and Related Research
Keywords
DocType
Volume
related problem minmovedvertices,drawing plane,similar result,on-line game,planar graph,minimum number,john tantalo,drawings plane,non-plane straight-line drawing,general planar graph,graph-drawing problem
Conference
abs/0706.1002
ISSN
ISBN
Citations 
0302-9743
3-540-77536-6
7
PageRank 
References 
Authors
0.81
8
5
Name
Order
Citations
PageRank
Xavier Goaoc113820.76
Jan Kratochvíl21751151.84
Yoshio Okamoto317028.50
Chan-su Shin420626.76
Alexander Wolff522222.66