What is the main idea of Kruskal algorithm. For the given graph on the board find...

Question

Question

6 5 2

What is the main idea of Kruskal algorithm. For the given graph on the board find the MST

Answer 1

Answer #1

Firstly in Kruskals algorithm, Sort all the edges in ascending order of their weight.

Keep adding one edge to the Minimum Spanning tree at a time only if the added edge does not form a cycle with the existing edges. This is the rule.

Finally we arrive at the minimum spanning tree consisting of V verties and v-1 edges.

Answer 2

Similar Homework Help Questions

Write a c or c++ program to write a prims algorithm and for problem 2(b) use kruskal algorithm.

write a c or c++ program to write a prims algorithm and for problem 2(b) use kruskal algorithm. Problem 2 (A) (Prim's Algorithm): Apply Prim's algorithm to the following graph. Include in the priority queue only the fringe vertices (the vertices not in the current tree which are adjacent to at least one tree vertex) Problem 2 (B) (Kruskal Algorithm): Apply Kruskaľ's algorithm to find a minimum spanning tree of the following graphs. 4 3 2 2 4 3 6...
Use Kruskal' s algorithm to find a minimal spanning tree. What is the total weight of...

Use Kruskal' s algorithm to find a minimal spanning tree. What is the total weight of your tree? You do not need to draw the tree, but do list the edges (as an ordered pair) in the order in which they are chosen. This is the same graphs as in problem 13. в з Е 5 D
Given a graph below draw MST in BOLD using either Kruskal's or Prim's algorithm. How many...

Given a graph below draw MST in BOLD using either Kruskal's or Prim's algorithm. How many edges are in MST? _ What is the length of MST? _ What are the neighbors in the minimum spanning tree (MST) of the node a _ and the node f _

how to find the main idea of a passage what is the main idea of the...

how to find the main idea of a passage what is the main idea of the passage chimney swit
3) Find the minimum spanning tree using a) Using Kruskal b) Prim’s algorithm,

3) Find the minimum spanning tree using a) Using Kruskal b) Prim’s algorithm,
Exercise 2 Given the following graph: a. Write the formal description of the graph, G=(V,E) b....

Exercise 2 Given the following graph: a. Write the formal description of the graph, G=(V,E) b. Show the Adjacency Matrix representation C. Show the Adjacency List representation d. Calculate step by step the shortest paths from a e. Show the DFS tree/forest from a f. Show the BFS tree/forest from a g MST using Prim h. MST using Kruskal

Find the All-pair Shortest Path for the given graph using Floyd Warshall Algorithm. . 2 6...

Find the All-pair Shortest Path for the given graph using Floyd Warshall Algorithm. . 2 6 3 8 -5 5 3
You are given an undirected graph G = (V, E) with positive weights on the edges....

You are given an undirected graph G = (V, E) with positive weights on the edges. If the edge weights are distinct, then there is only one MST, so both Prim’s and Kruskal’s algorithms will find the same MST. If some of the edge weights are the same, then there can be several MSTs and the two algorithms could find different MSTs. Describe a method that forces Prim’s algorithm to find the same MST of G that Kruskal’s algorithm finds.
Run Prim (starting from vertex "f") and Kruskal algorithms on the graph below: 3 2 9...

Run Prim (starting from vertex "f") and Kruskal algorithms on the graph below: 3 2 9 3 . (5 points) Prim's algorithm: draw a table that shows the vertices in the queue at each iteration, similar to example from the notes (2 points) Prim's algorithm: using the table from the first part, list the order in which edges are added to the tree (3 points) Kruskal's algorithm: list the order in which edges are added to the tree

9. Apply figure and use adjacency matrix to represent the minimum spanning tree Kruskal algorithm to...

9. Apply figure and use adjacency matrix to represent the minimum spanning tree Kruskal algorithm to find the minimum spanning tree in the following 30 2 1) 25 9 10 12