Minimum Cycle Bases of Weighted Outerplanar Graphs

被引：0

作者：

Liu, Tsung-Hao ^{[1
]}

Lu, Hsueh-I ^{[1
]}

机构：

[1] Natl Taiwan Univ, Dept Comp Sci & Informat Engn, Taipei, Taiwan

来源：

ALGORITHMS AND COMPUTATION, PROCEEDINGS | 2009年 / 5878卷

关键词：

POLYNOMIAL-TIME ALGORITHM; DIRECT PRODUCTS; FIND;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We give the first known optimal algorithm that computes a minimum cycle basis for any weighted outerplanar graph. Specifically, for any n-node edge-weighted outerplanar graph G, we give an O(n)-time algorithm to obtain an O(n)-space compact representation Z(C) for a minimum cycle basis C of G. Each cycle in C can be computed from Z(C) in O(1) time per edge. Our result works for directed and undirected outerplanar graphs G.

引用

页码：564 / 572

页数：9

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