Can Dijkstra’s Algorithm Handle Negative Edges Cycles? shortest-path problem Which algorithm does not work with negative edges? As 3 is less than 5, but Dijkstra’s algorithm gives the incorrect answer as 5, which is not the shortest distance. Therefore Dijkstra’s Algorithm fails for negative cases. Can we use Dijkstra’s algorithm to find the shortest paths
Can Topological Sorting Detect Negative Cycles? In Topological Sort, the idea is to visit the parent node followed by the child node. If the given graph contains a cycle, then there is at least one node which is a parent as well as a child so this will break Topological Order. How can you detect
Can Bellman Ford Detect All Negative Weight Cycles? 1. Bellman-Ford detects negative cycles, i.e. if there is a negative cycle reachable from the source s, then for some edge (u, v), dn-1(v) > dn-1(u) + w(u, v). 2. If the graph has no negative cycles, then the distance estimates on the last iteration are equal