Does Dijkstra work for multiple edges?

Like the answers mentioned it really depends on the particular implementation of dijkstra algorithm. This implementation will work fine because it adds the smallest possible edge among all possible parallel edges to the data structure you are using to keep track of the yet to be explored nodes.

When can you not use Dijkstra’s algorithm?

Since Dijkstra’s goal is to find the optimal path (not just any path), it, by definition, cannot work with negative weights, since it cannot find the optimal path. Dijkstra will actually not loop, since it keeps a list of nodes that it has visited. But it will not find a perfect path, but instead just any path.

Is Dijkstra bidirectional?

Bidirectional Dijkstra Algorithms. PGX has a bidirectional version of Dijkstra’s algorithm to compute the shortest path between a given source and destination node. Although there is no theoretical difference, the bidirectional version performs better on many real-world graphs.

Does Dijkstra cover all nodes?

Dijkstra’s Algorithm finds the shortest path between a given node (which is called the “source node”) and all other nodes in a graph. This algorithm uses the weights of the edges to find the path that minimizes the total distance (weight) between the source node and all other nodes.

Does Dijkstra work for multigraph?

Dijkstra works with Multigraphs, but you should not keep track of visited vertices, you have to examine them again because of the parallel edges. Moreover, whenever you find a self-loop you should move one without any calculations.

Does Dijkstra work for undirected graphs?

You can use Dijkstra’s algorithm in both directed and undirected graphs, because you simply add edges nodes into the PriorityQueue when you have an edge to travel to from your adjacency list.

Does Dijkstra work for directed graphs?

What is bidirectional search in artificial intelligence?

Bidirectional search is a graph search algorithm that finds a shortest path from an initial vertex to a goal vertex in a directed graph. It runs two simultaneous searches: one forward from the initial state, and one backward from the goal, stopping when the two meet.

Does Dijkstra work for negative weights?

Dijkstra’s algorithm solves the shortest-path problem for any weighted, directed graph with non-negative weights. It can handle graphs consisting of cycles, but negative weights will cause this algorithm to produce incorrect results.