Normal surface theory is a central tool in algorithmic threedimensional topology, and the enumeration of vertex normal surfaces is the computational bottleneck in many important a...
We significantly improve known time bounds for solving the minimum cut problem on undirected graphs. We use a "semiduality" between minimum cuts and maximum spanning tree...
We consider the problem of finding a maximum number of disjoint paths for unit disks moving amidst static or dynamic obstacles. For the static case we give efficient exact algorit...
Esther M. Arkin, Joseph S. B. Mitchell, Valentin P...
We present a clustering scheme that combines a mode-seeking phase with a cluster merging phase in the corresponding density map. While mode detection is done by a standard graph-b...
In a sensor network there are many paths between a source and a destination. An efficient method to explore and navigate in the ‘path space’ can help many important routing p...