On the feedback vertex set problem for a planar graph

被引：0
|
作者：
Hackbusch, W
机构：
[1] Praktische Mathematik, Chrstn.-Albrechts-Univ. zu Kiel
来源：
COMPUTING | 1997年 / 58卷 / 02期
关键词：
planar graphs; feedback vertex set; cycles;
D O I：
10.1007/BF02684436
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
An algorithm solving the feedback-vertex-set problem for planar digraphs is described. In particular, planar graphs with a certain additional condition are considered as they arise from solving systems of linear equations obtained from convection-dominated flow problems. The proposed algorithm requires a computational work linear in the size of the graph. Furthermore, a side-product is a decomposition of the graph into subsets that are of interest for block-Gauss-Seidel smoothers in multi-grid methods.
引用
收藏
页码：129 / 155
页数：27
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