Title
Drawing graphs with vertices at specified positions and crossings at large angles
Abstract
In point-set-embeddability (PSE) problems one is given not just a graph that is to be drawn, but also a set of points in the plane that specify where the vertices of the graph can be placed. The problem class was introduced by Gritzmann et al. [3] twenty years ago. In their work and most other works on PSE problems, however, planarity of the output drawing was an essential requirement. Recent experiments on the readability of drawings [4] showed that polyline drawings with angles at edge crossings close to 90°. and a small number of bends per edge are just as readable as planar drawings. Motivated by these findings, Didimo et al. [2] recently introduced RAC drawings where pairs of crossing edges must form a right angle and, more generally, αAC drawings (for α∈ (0, 90°]) where the crossing angle must be at least α. As usual, edges may not overlap and may not go through vertices. We investigate the intersection of PSE and RAC/αAC.
Year
DOI
Venue
2011
10.1007/978-3-642-28076-4_19
WALCOM'12 Proceedings of the 6th international conference on Algorithms and computation
Keywords
DocType
Volume
various result,planar case,recent experiment,point-set-embedding scenario,curve complexity,problem class,large angle,rac drawing,large-angle crossing,ac drawing,polyline drawing,point-set embeddings,essential requirement,pse problem,right angle,underlying grid,output drawing,drawing style,graph drawing,specified position,computational complexity,planar drawing,data structure
Journal
7034
ISSN
Citations 
PageRank 
0302-9743
4
0.42
References 
Authors
15
5
Name
Order
Citations
PageRank
Martin Fink1726.55
Jan-Henrik Haunert217919.32
Tamara Mchedlidze313625.56
Joachim Spoerhase411214.12
Alexander Wolff5565.54