It can be applied to both. Here is why: An undirected graph is basically the same as a directed graph with bidirectional connections (= two connections in opposite directions) between the connected nodes. So you don’t really have to do anything to make it work for an undirected graph. You only need to know all of the nodes that can be … Read more
Bellman-Ford algorithm is a single-source shortest path algorithm, so when you have negative edge weight then it can detect negative cycles in a graph. The only difference between the two is that Bellman-Ford is also capable of handling negative weights whereas Dijkstra Algorithm can only handle positives. From wiki However, Dijkstra’s algorithm greedily selects the … Read more
Recall that in Dijkstra’s algorithm, once a vertex is marked as “closed” (and out of the open set) – the algorithm found the shortest path to it, and will never have to develop this node again – it assumes the path developed to this path is the shortest. But with negative weights – it might not … Read more
Dijkstra’s shortest path algorithm is O(ElogV) where: V is the number of vertices E is the total number of edges Your analysis is correct, but your symbols have different meanings! You say the algorithm is O(VElogV) where: V is the number of vertices E is the maximum number of edges attached to a single node. Let’s rename your E to N. So one analysis says O(ElogV) and another … Read more
As others have pointed out, due to not using understandable variable names, it is almost impossible to debug your code. Following the wiki article about Dijkstra’s algorithm, one can implement it along these lines (and in a million other manners): This code is more verbous than necessary and I hope comparing your code with mine … Read more
As others have pointed out, due to not using understandable variable names, it is almost impossible to debug your code. Following the wiki article about Dijkstra’s algorithm, one can implement it along these lines (and in a million other manners): This code is more verbous than necessary and I hope comparing your code with mine … Read more