We present the first constant-factor approximation algorithm for network design with multiple commodities and economies of scale. We consider the rent-or-buy problem, a type of m...
In this work we deal with sandwich graphs G = (V, E) and present the notion of vertices f-controlled by a subset M V . We introduce the generalized maxcontrolled set problem (gmc...
Ivairton M. Santos, Carlos A. J. Martinhon, Luiz S...
In many physical statistical, biological and other investigations it is desirable to approximate a system of points by objects of lower dimension and/or complexity. For this purpo...
The vertex cover problem is a classic NP-complete problem for which the best worst-case approximation ratio is roughly 2. In this paper, we use a collection of simple reductions, e...
We study the two-dimensional version of the bin packing problem with conflicts. We are given a set of (two-dimensional) squares V = {1, 2, . . . , n} with sides s1, s2 . . . , sn ...