Many Distances in Planar Graphs

被引：0
|
作者：
Sergio Cabello
机构：
[1] University of Ljubljana,Department of Mathematics, Faculty of Mathematics and Physics
[2] Institute for Mathematics,Department of Mathematics
[3] Physics and Mechanics,undefined
来源：
Algorithmica | 2012年 / 62卷
关键词：
Planar graphs; Distances in graphs; Separators; Decomposition of graphs; Data structure;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show how to compute in O(n4/3log 1/3n+n2/3k2/3log n) time the distance between k given pairs of vertices of a planar graph G with n vertices. This improves previous results whenever (n/log n)5/6≤k≤n2/log 6n. As an application, we speed up previous algorithms for computing the dilation of geometric planar graphs.
引用
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页码：361 / 381
页数：20
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