Question

List the names of all Algorithms along with their Complexities that find Minimum Cost

Spanning Tree. List as many names as possible. Also, write the source of your finding adjacent

to each Algorithm found.​

Answer 1

A minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of a connected, edge-weighted undirected ...

Answer 2

Minimum Cost Spanning Tree :

Explanation:

• Minimum Spanning Tree is a Spanning Tree that has a minimum total cost.

• If we have a linked undirected graph with a weight (or cost) combine with each edge, then the cost of the spanning tree would be the sum of the cost of its edges.

• There are three types of the algorithm used to find the minimum cost of spanning tree: 1) Prim's algorithm

                                     2) Kruskal's algorithm

                                     3) Dijkstra's algorithm

Time complexity:

Time complexity is the total running time taken by an algorithm to run, as a function of the length of the input.

• 1) Prim's algorithm:

           The time complexity of Prim's algorithm is  O((V+E) logV).

• 2) Kruskal's algorithm :

           The time complexity of Kruskal's algorithm measured in O(E log E).

• 3) Dijkstra's algorithm :

            The time complexity of Dijkstra's algorithm is O($\mathbf{N^2}$).