Title
Area requirement of visibility representations of trees
Abstract
Trees are among the most common structures in computing and many algorithms for drawing trees have been developed in the last years. Such algorithms usually adopt different drawing conventions and attempt to solve several optimization problems. The aim of this paper is to study two different types of drawing conventions for trees, namely 1-strong visibility representation and 2-strong visibility representation. For both of them we investigate the problem of minimizing the area of the representation. The contribution of the paper is twofold: (i) we prove tight lower and upper bounds on the area of such representations; and (ii) we provide linear-time algorithms that construct representations with optimal area.
Year
DOI
Venue
1993
10.1016/S0020-0190(97)00048-3
Information Processing Letters
Keywords
DocType
Volume
last year,area requirement,optimal area,visibility representation,common structure,linear-time algorithm,2-strong visibility representation,different type,upper bound,1-strong visibility representation,different drawing convention,optimization problem,visibility representations,computational geometry,mathematics
Conference
62
Issue
ISSN
Citations 
2
0020-0190
14
PageRank 
References 
Authors
1.34
8
4
Name
Order
Citations
PageRank
Goos Kant156551.19
Giuseppe Liotta21356112.95
R Tamassia34686550.39
Ioannis G. Tollis41240162.75