Straight-line grid drawings of label-constrained outerplanar graphs with O(nlogn) area

被引：1
|
作者：
Karim M.R. [1 ,2 ]
Alam M.J. [1 ]
Rahman M.S. [1 ]
机构：
[1] Department of Computer Science and Engineering, Bangladesh University of Engineering and Technology (BUET)
[2] Department of Computer Science and Engineering, University of Dhaka
来源：
Journal of Graph Algorithms and Applications | 2011年 / 15卷 / 03期
关键词：
D O I：
10.7155/jgaa.00233
中图分类号：
学科分类号：
摘要：
A straight-line grid drawing of a planar graph G is a drawing of G on an integer grid such that each vertex is drawn as a grid point and each edge is drawn as a straight-line segment without edge crossings. Any outerplanar graph of n vertices with maximum degree d has a straight-line grid drawing with area O(dnlogn). In this paper, we introduce a subclass of outerplanar graphs, which we call label-constrained outerplanar graphs, that admits straight-line grid drawings with O(nlogn) area. We give a linear-time algorithm to find such a drawing. We also give a linear-time algorithm for the recognition of label-constrained outerplanar graphs.
引用
收藏
页码：437 / 456
页数：19
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