Article ID Journal Published Year Pages File Type
437266 Theoretical Computer Science 2012 17 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics