##### Asked by: Alam Shen

asked in category: General Last Updated: 5th June, 2020# What is a least cost algorithm?

**least**-

**cost**path from a given source node to all other nodes. This

**algorithm**determines

**least**-

**cost**paths from a source node to a destination node by optimizing the

**cost**in multiple iterations. Dijkstra's

**algorithm**is as follows : Begin Dijkstra's

**Algorithm**.

Also, how do you solve minimum cost flow?

**Minimum** weight bipartite matching The idea is to reduce this **problem** to a network **flow problem**. Let G′ = (V′ = A ∪ B, E′ = E). Assign the capacity of all the edges in E′ to 1. Add a source vertex s and connect it to all the vertices in A′ and add a sink vertex t and connect all vertices inside group B′ to this vertex.

Furthermore, how does the A * algorithm work? Dijkstra's **Algorithm works** by visiting vertices in the graph starting with the object's starting point. It then repeatedly examines the closest not-yet-examined vertex, adding its vertices to the set of vertices to be examined. It expands outwards from the starting point until it reaches the goal.

Just so, wHY A * algorithm is better than BFS?

A* is complete, optimal, and it has a time and space complexity of O(bm). So, in general, A* uses more memory **than** greedy **BFS**. However, A* also guarantees that the found path between the starting node and the goal node is the optimal one and that the **algorithm** eventually terminates.

Is Dijkstra BFS or DFS?

**Dijkstra's** algorithm **is Dijkstra's** algorithm, it is neither algorithm because **BFS** and **DFS** themselves are not **Dijkstra's** algorithm: **BFS** doesn't use a priority queue (or array, should you consider using that) storing the distances, and. **BFS** doesn't perform edge relaxations.