We present a linear time algorithm for the minimum linear arrangement problem on proper interval graphs. The obtained ordering is a 4-approximation for general interval graphs. 1 ...
We show that it is not possible to approximate the minimum Steiner tree problem within 1 + 1 162 unless RP = NP. The currently best known lower bound is 1 + 1 400. The reduction i...
Abstract. In the k-Minimum Common Integer Partition Problem, abbreviated k-MCIP, we are given k multisets X1, . . . , Xk of positive integers, and the goal is to find an integer mu...
Arpe and Manthey [Algorithmica’09] recently studied the minimum ANDcircuit problem, which is a circuit minimization problem, and showed some results including approximation algo...
We present an O( √ n log n)-approximation algorithm for the problem of finding the sparsest spanner of a given directed graph G on n vertices. A spanner of a graph is a sparse ...
Piotr Berman, Arnab Bhattacharyya, Konstantin Maka...