Choosability on H-free graphs

被引：3
作者：
Golovach, Petr A. [1 ]
Heggernes, Pinar [1 ]
van't Hof, Pim [1 ]
Paulusma, Daniel [2 ]
机构：
[1] Univ Bergen, Dept Informat, N-5020 Bergen, Norway
[2] Univ Durham, Sch Engn & Comp Sci, Durham DH1 3HP, England
来源：
INFORMATION PROCESSING LETTERS | 2013年 / 113卷 / 04期
基金：
英国工程与自然科学研究理事会; 欧洲研究理事会;
关键词：
Computational complexity; Choosability; H-free graphs; Linear forest; CHOICE NUMBER; COLORING GRAPHS; NP-COMPLETENESS; PLANAR GRAPH; COMPLEXITY;
D O I：
10.1016/j.ipl.2012.12.003
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A graph is H-free if it has no induced subgraph isomorphic to H. We determine the computational complexity of the CHOOSABILITY problem restricted to H-free graphs for every graph H that does not belong to {K-1,K-3, P-1 + P-2, P-1 + P-3, P-4}. We also show that if H is a linear forest, then the problem is fixed-parameter tractable when parameterized by k. (C) 2012 Elsevier B.V. All rights reserved.
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页码：107 / 110
页数：4
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