Lecture 15 Today Dynamic Programming on Graphs We’re building up to “Bellman-Ford” and “Floyd-Warshall” Two very clever algorithms – we won’t ask you to be as clever. But they’re …

Distributed implementation: The Bellman-Ford algorithm can be easily implemented in a distributed way. Dijkstra’s algorithm cannot. Time complexity: The Bellman-Ford algorithm is …

Compute the new weights for the original edges: wnew(u,v) = w(u,v) + p(s, u) – p(s,v) Can get rid of the new vertex and edges at this point Run Dijkstra to compute the shortest paths …

each router knows complete topology & link cost information. Run routing algorithm to calculate shortest path to each destination. distance-vector (Bellman-Ford) Each router knows direct …

Goals of Today’s Lecture Path selection Minimum-hop and shortest-path routing Dijkstra and Bellman-Ford algorithms Topology change Using beacons to detect topology changes …

The Bellman Equations Definition of “optimal utility” via expectimax recurrence gives a simple one-step lookahead relationship amongst optimal utility values These are the Bellman …

Difference from Bellman-Ford is that the following algorithm doesn't check all possible intermediate vertices.