Title
Vertex angle and crossing angle resolution of leveled tree drawings
Abstract
We study the problem of computing leveled tree drawings, i.e., straight-line drawings of trees where the vertices have distinct preassigned y-coordinates. Our optimization goal is to maximize the crossing angle resolution (i.e., the minimum angle formed by any two crossing edges) and/or the vertex angle resolution (i.e., the minimum angle formed by two edges incident to the same vertex) of the drawing. We provide tight and almost tight worst case bounds for the crossing angle resolution and for the total angle resolution (i.e., the minimum of crossing and vertex angle resolution), respectively.
Year
DOI
Venue
2012
10.1016/j.ipl.2012.05.006
Inf. Process. Lett.
Keywords
Field
DocType
worst case bound,minimum angle,distinct preassigned y-coordinates,edges incident,total angle resolution,tree drawing,vertex angle resolution,optimization goal,straight-line drawing,angle resolution,graph drawing
Graph drawing,Combinatorics,Vertex (geometry),Vertex angle,Internal and external angle,Inscribed angle,Angle of parallelism,Geometry,Mathematics
Journal
Volume
Issue
ISSN
112
16
0020-0190
Citations 
PageRank 
References 
3
0.45
17
Authors
5
Name
Order
Citations
PageRank
Walter Didimo194376.56
Michael Kaufmann21224107.33
Giuseppe Liotta334130.83
Yoshio Okamoto417028.50
Andreas Spillner520749.13