Approximation results for the weighted partition problem

We present several new standard and differential approximation results for the P₄-partition problem using the Hassin and Rubinstein algorithm Information Processing Letters 63 (1997) 63–67]. Those results concern both minimization and maximization versions of the problem. However, the main point of this paper lies in the establishment of the robustness of this algorithm, in the sense that it provides good quality solutions for a variety of versions of the problem, under both standard and differential approximation ratios.