The uniform conjugacy problem for finite church—Rosser thue systems is NP-complete

A family of polycyclic groups over which the uniform conjugacy problem is NP-complete

In this paper we study the conjugacy problem in polycyclic groups. Our main result is that we create polycyclic groups Gn whose conjugacy problem is at least as hard as the subset sum problem with n indeterminates. As such, the conjugacy problem over the groups Gn is NP-complete where the parameters of the problem are taken in terms of n and the length of the elements given on input.

The Synthesis Problem for Elementary Net Systems is NP-Complete

The so-called synthesis problem consists in deciding for a class of nets whether a given graph is isomorphic to the case graph of some net and then constructing the net. This problem has been solved for various classes of nets, ranging from elementary nets to Petri nets. The general principle is to compute regions in the graph, i.e. subsets of nodes liable to represent extensions of places of a...

Uniform Planar Embedding Is Np - Complete

The Maze Generation Problem is NP-complete

The Maze Generation problem has been presented as a benchmark for the Second Answer Set Programming Competition. We prove that the problem is NP–complete and identify relevant classes of unsatisfiable instances. The Maze Generation (MG) problem has been presented as a benchmark for the Second Answer Set Programming (ASP) Competition1. The problem has been placed in the NP category, which contai...

The transposition median problem is NP-complete

During the last years, the genomes of more and more species have been sequenced, providing data for phylogenetic reconstruction based on genome rearrangement measures, where the most important distance measures are the reversal distance and the transposition distance. The two main tasks in all phylogenetic reconstruction algorithms is to calculate pairwise distances and to solve the median of t...