In 1996, Khanna and Motwani [KM96] proposed three logic-based optimization problems constrained by planar structure, and offered the hypothesis that these putatively fundamental ...
Liming Cai, Michael R. Fellows, David W. Juedes, F...
Orienteering is the following optimization problem: given an edge-weighted graph (directed or undirected), two nodes s, t and a time limit T, find an s-t walk of total length at ...
Abstract. Hierarchical (H)-matrices approximate full or sparse matrices using a hierarchical data sparse format. The corresponding H-matrix arithmetic reduces the time complexity o...
We study the generalization of covering problems to partial covering. Here we wish to cover only a desired number of elements, rather than covering all elements as in standard cov...
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...