Exact computation of minimum feedback vertex sets with relational algebra

被引:0
|
作者
Berghammer, Rudolf
Fronk, Alexander
机构
[1] Univ Kiel, Inst Appl Math & Sci Comp, D-24098 Kiel, Germany
[2] Univ Dortmund, D-44221 Dortmund, Germany
关键词
directed graphs; feedback vertex sets; elementary chordless cycles; relational algebra; RELVIEW tool;
D O I
暂无
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
A feedback vertex set of a graph is a subset of vertices containing at least one vertex from every cycle of the graph. Given a directed graph by its adjacency relation, we develop a relational algorithm for computing a feedback vertex set of minimum size. In combination with a BDD-implementation of relations, it allows to exactly solve this NP-hard problem for medium-sized graphs.
引用
收藏
页码:301 / 316
页数:16
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