Fundamentals of Computation Theory

Abstract

We present several new standard and differential approximation results for the P 4 -partition problem using the Hassin and Rubinstein' algorithm (Information Processing Letters, 63: 63-67, 1997). Those results concern both minimization and maximization versions of the problem. However, the main point of this paper lies on the establishment it does of the robustness of this algorithm, in the sense that this latter provides good quality solutions, whatever version of the problem is addressed, whatever approximation framework is considered in order to evaluate the approximate solutions.