For a set S of points in Rd, an s-spanner is a graph on S such that any pair of points is connected via some path in the spanner whose total length is at most s times the Euclidea...
Some of the currently best-known approximation algorithms for network design are based on random sampling. One of the key steps of such algorithms is connecting a set of source nod...
Many algorithms for motif finding that are commonly used in bioinformatics start by sampling r potential motif occurrences from n input sequences. The motif is derived from these s...
We study the lower-bounded facility location problem, which generalizes the classical uncapacitated facility location problem in that it comes with lower bound constraints for the...
Exponential algorithms, i.e. algorithms of complexity O(cn ) for some c > 1, seem to be unavoidable in the case of NP-complete problems (unless P=NP), especially if the problem ...