We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
We study graph orientations that minimize the entropy of the in-degree sequence. The problem of finding such an orientation is an interesting special case of the minimum entropy ...
Abstract. In this paper, we show that algorithms on tree decompositions can be made faster with the use of generalisations of fast subset convolution. Amongst others, this gives al...
Johan M. M. van Rooij, Hans L. Bodlaender, Peter R...
A hitting set for a collection of sets is a set that has a nonempty intersection with each set in the collection; the hitting set problem is to find a hitting set of minimum card...
Karthekeyan Chandrasekaran, Richard Karp, Erick Mo...
Abstract. This paper deals with approximations of maximum independent sets in non-uniform hypergraphs of low degree. We obtain the first performance ratio that is sublinear in term...