Inverse HAMILTONIAN CYCLE and inverse 3DIMENSIONAL MATCHING are coNP-complete

被引：0

作者：

Hempel, Harald ^{[1
]}

Krueger, Michael ^{[1
]}

机构：

[1] Univ Jena, Inst Informat, D-07743 Jena, Thuringia, Germany

来源：

THEORETICAL COMPUTER SCIENCE | 2012年 / 426卷

关键词：

Computational complexity; CoNP-completeness; Inverse problems; HAMILTONIAN CYCLE; 3DIMENSIONAL MATCHING;

D O I：

10.1016/j.tcs.2011.08.020

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we show that the inverse problems of HAMILTONIAN CYCLE and 3DIMENSIONAL MATCHING are coNP-complete. This completes the study of inverse problems of the six natural NP-complete problems from Garey and Johnson (1979) [2] and answers an open question from Chen (2003) [1]. We show that the coNP-completeness of the inverse problem of HAMILTONIAN CYCLE holds for undirected as well as for directed graphs. (C) 2012 Published by Elsevier B.V.

引用

页码：49 / 65

页数：17

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