[Boost-users] Longest path from u to v in a directed weighted graph

Hi, I would like to find the longest path from vertex u to vertex v through a directed graph with positive edge weights. I know that u and v are choke points in the graph, in that if you start from vertex u and start following random edges, you will end up at vertex v in pretty short order. Is dijkstra_shortest_paths the best function for this purpose? The vertices reachable from u without travelling through v form a small subgraph of the total graph. I want to avoid exploring beyond v, and I definitely don't need to know the distances to vertices beyond v. Cheers, Shaun