Given an unweighted planar graph G together with nets of terminals, our problem is to find a Steiner forest, i.e., vertex-disjoint trees, each of which interconnects all the termin...
We consider online routing algorithms for routing between the vertices of embedded planar straight line graphs. Our results include (1) two deterministic memoryless routing algorit...
Abstract—Wireless sensor networks need very efficient network protocols due to the sensors’ limited communication and computation capabilities. Network planarization – find...
We consider online routing algorithms for finding paths between the vertices of plane graphs. Although it has been shown in Bose et al. [4] that there exists no competitive routin...
We provide linear-time algorithms for geometric graphs with sublinearly many crossings. That is, we provide algorithms running in O(n) time on connected geometric graphs having n ...
David Eppstein, Michael T. Goodrich, Darren Strash