# What is K shortest path algorithm?

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## What is K shortest path algorithm?

Yen’s Shortest Path algorithm computes a number of shortest paths between two nodes. The algorithm is often referred to as Yen’s k-Shortest Path algorithm, where k is the number of shortest paths to compute. The algorithm supports weighted graphs with positive relationship weights.

What is Dijkstra algorithm used for?

Dijkstra’s algorithm allows us to find the shortest path between any two vertices of a graph. It differs from the minimum spanning tree because the shortest distance between two vertices might not include all the vertices of the graph.

Does Dijkstra find all shortest paths?

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.

### Is Dijkstra’s algorithm the best?

In addition, Best First Search is not optimal [not guaranteed to find the shortest path], and also A*, if you do not use an admissible heuristic function, while Dijkstra’s algorithm is always optimal, since it does not relay on any heuristic.

Which is better Dijkstra or A *?

Even though Dijkstra’s algorithm and the A* algorithm both find the same shortest paths, the A* algorithm does it almost 60 times faster!

Is A * better than Dijkstra?

In general A* is more performant than Dijkstra’s but it really depends the heuristic function you use in A*. You’ll want an h(n) that’s optimistic and finds the lowest cost path, h(n) should be less than the true cost. If h(n) >= cost, then you’ll end up in a situation like the one you’ve described.

#### Is Bellman-Ford and Dijkstra the same?

The only difference between the two is that Bellman-Ford is also capable of handling negative weights whereas Dijkstra Algorithm can only handle positives.

Who uses Dijkstra’s algorithm?

Dijkstra’s algorithm is widely used in the routing protocols required by the routers to update their forwarding table. The algorithm provides the shortest cost path from the source router to other routers in the network.

Is Dijkstra’s algorithm A greedy algorithm?

Dijkstra Algorithm is a graph algorithm for finding the shortest path from a source node to all other nodes in a graph(single-source shortest path). It is a type of greedy algorithm. It only works on weighted graphs with positive weights.

## What is the k-shortest path routing problem?

The k shortest path routing problem is a generalization of the shortest path routing problem in a given network. It asks not only about a shortest path but also about next k−1 shortest paths (which may be longer than the shortest path).

How do you find the k shortest path?

Finding k shortest paths is possible by extending Dijkstra algorithm or Bellman-Ford algorithm and extend them to find more than one path. Since 1957 many papers were published on the k shortest path routing problem.

What is the difference between Yen’s and Dijkstra’s algorithm?

The intuition for finding the 2nd shortest path is to take the 1st shortest path but “force” Dijkstra’s algorithm along a different, slightly less optimal route. The way Yen’s algorithm “forces” Dijkstra’s algorithm along a different route, is by removing one of the edges that are part of the 1st shortest path.

### Is there an efficient algorithm to find the Kth-shortest path between nodes?

My question is whether there is an efficient algorithm that, given a directed, weighted graph, a pair of nodes s and t, and a value k, finds the kth-shortest path between s and t. In the event that there are multiple paths of the same length that all tie for the kth-shortest, it’s fine for the algorithm to return any of them.