Critical hereditary graph classes: a survey

被引：0
|
作者：
D. S. Malyshev
P. M. Pardalos
机构：
[1] National Research University Higher School of Economics,
[2] University of Florida,undefined
来源：
Optimization Letters | 2016年 / 10卷
关键词：
Computational complexity; Polynomial-time algorithm ; Hereditary graph class; Independent set problem; Dominating set problem; Coloring problem; List edge-ranking problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The task of complete complexity dichotomy is to clearly distinguish between easy and hard cases of a given problem on a family of subproblems. We consider this task for some optimization problems restricted to certain classes of graphs closed under deletion of vertices. A concept in the solution process is based on revealing the so-called “critical” graph classes, which play an important role in the complexity analysis for the family. Recent progress in studying such classes is presented in the article.
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页码：1593 / 1612
页数：19
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