We propose a definition of locality for properties of geometric graphs. We measure the local density of graphs using region-counting distances [8] between pairs of vertices, and w...
For a connected graph, representing a sensor network, distributed algorithms for the Set Covering Problem can be employed to construct reasonably small subsets of the nodes, calle...
— Most of the currently deployed multicast protocols (e.g. DVMRP, PIM, MOSPF) build one shortest path multicast tree per sender, the tree being rooted at the sender’s subnetwor...
We consider the computation of shortest paths on Graphic Processing Units (GPUs). The blocked recursive elimination strategy we use is applicable to a class of algorithms (such as...
Let G = (V, E, w) be a directed graph, where w : V → R is an arbitrary weight function defined on its vertices. The bottleneck weight, or the capacity, of a path is the smalles...