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
收藏
页码：49 / 65
页数：17
相关论文
共 50 条
  • [1] Inverse HAMILTONIAN CYCLE and inverse 3-D MATCHING are coNP-complete
    Krueger, Michael
    Hempel, Harald
    ALGORITHMS AND COMPUTATION, PROCEEDINGS, 2006, 4288 : 243 - +
  • [2] Generalized Inverse of Upper Triangular Infinite Dimensional Hamiltonian Operators
    Huang, Junjie
    Guo, Xiang
    Huang, Yonggang
    Alatancang
    ALGEBRA COLLOQUIUM, 2013, 20 (03) : 395 - 402
  • [3] Medial Axis (Inverse) Transform in complete 3-dimensional Riemannian manifolds
    Nass, Henning
    Wolter, F-E.
    Dogan, Cem
    Thielhelm, Hannes
    2007 INTERNATIONAL CONFERENCE ON CYBERWORLDS, PROCEEDINGS, 2007, : 386 - 395
  • [4] COMPLETE HIGH DIMENSIONAL INVERSE CHARACTERIZATION OF FRACTAL SURFACES
    Michopoulos, John G.
    Iliopoulos, Athanasios
    PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2011, VOL 2, PTS A AND B, 2012, : 447 - 456
  • [5] 3-DIMENSIONAL INVERSE SCATTERING
    CHENEY, M
    ROSE, JH
    DEFACIO, B
    LECTURE NOTES IN MATHEMATICS, 1987, 1285 : 46 - 54
  • [6] Complete High Dimensional Inverse Characterization of Fractal Surfaces and Volumes
    Michopoulos, John G.
    Iliopoulos, Athanasios
    JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING, 2013, 13 (01)
  • [7] INVERSE SCATTERING PROBLEM FOR A ONE-DIMENSIONAL STARK-EFFECT HAMILTONIAN
    KATCHALOV, AP
    KURYLEV, YV
    INVERSE PROBLEMS, 1990, 6 (01) : L1 - L5
  • [8] SOLUTION OF THE 3-DIMENSIONAL INVERSE PROBLEM
    BOZIS, G
    NAKHLA, A
    CELESTIAL MECHANICS, 1986, 38 (04): : 357 - 375
  • [9] INVERSE PROBLEM FOR 3 DIMENSIONAL POTENTIAL SCATTERING
    PERLAMENZALA, G
    ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 1975, 47 (02): : 193 - 195
  • [10] 3-DIMENSIONAL RECONSTRUCTIONS IN INVERSE OBSTACLE SCATTERING
    KRESS, R
    ZINN, A
    LECTURE NOTES IN MATHEMATICS, 1991, 1497 : 112 - 125
12345