Quantum algorithms for graph problems are considered, both in the adjacency matrix model and in an adjacency list-like array model. We give almost tight lower and upper bounds for ...
Computing a spanning tree and the connected components of a graph are basic problems in Graph Theory and arise as subproblems in many applications. Dehne et al. present a BSP/CGM a...
Power conservation is a critical issue for ad hoc wireless networks. The main objective of the paper is to find the minimum uniform transmission power of an ad hoc wireless netwo...
We give tight bounds on the parallel complexity of some problems involving random graphs. Speci cally, we show that a Hamiltonian cycle, a breadth rst spanning tree, and a maximal...