Independent Set Reconfiguration Parameterized by Modular-Width

被引：3
|
作者：
Belmonte, Remy [1 ]
Hanaka, Tesshu [2 ]
Lampis, Michael [3 ]
Ono, Hirotaka [4 ]
Otachi, Yota [4 ]
机构：
[1] Univ Electrocommun, Chofu, Tokyo 1828585, Japan
[2] Chuo Univ, Bunkyo Ku, Tokyo 1128551, Japan
[3] PSL Univ, Univ Paris Dauphine, CNRS, LAMSADE, F-75016 Paris, France
[4] Nagoya Univ, Nagoya, Aichi 4648601, Japan
来源：
ALGORITHMICA | 2020年 / 82卷 / 09期
关键词：
Reconfiguration; Independent set; Modular-width; COMPLEXITY;
D O I：
10.1007/s00453-020-00700-y
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
Independent Set Reconfiguration is one of the most well-studied problems in the setting of combinatorial reconfiguration. It is known that the problem is PSPACE-complete even for graphs of bounded bandwidth. This fact rules out the tractability of parameterizations by most well-studied structural parameters as most of them generalize bandwidth. In this paper, we study the parameterization by modular-width, which is not comparable with bandwidth. We show that the problem parameterized by modular-width is fixed-parameter tractable under all previously studied rules TAR resolves an open problem posed by Bonsma (J Graph Theory 83(2):164-195, 2016).
引用
收藏
页码：2586 / 2605
页数：20
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