Given an edge-weighted undirected graph G with a specified set of terminals, let the density of any subgraph be the ratio of its weight/cost to the number of terminals it contain...
We prove that if G = (VG, EG) is a finite, simple, and undirected graph with κ components and independence number α(G), then there exist a positive integer k ∈ N and a functi...
We consider coverage problems in sensor networks of stationary nodes with minimal geometric data. In particular, there are no coordinates and no localization of nodes. We introduc...
Speedups demonstrated for finding the biconnected components of a graph: 9x to 33x on the Explicit Multi-Threading (XMT) many-core computing platform relative to the best serial ...
We present recent developments in efficiently maintaining the boundary and surface area of protein molecules as they undergo conformational changes. As the method that we devised k...