Table of Contents

## Which algorithm can be used to find a minimum spanning tree?

Prim’s algorithm is one way to find a minimum spanning tree (MST). A minimum spanning tree (shown in red) minimizes the edges (weights) of a tree.

**Can you find minimum spanning tree of directed graph?**

The equivalent of minimum spanning tree in directed graphs is, “Minimum Spanning Arborescence”(also known as optimum branching) can be solved by Edmonds’ algorithm with a running time of O(EV). This algorithm is directed analog of the minimum spanning tree problem.

**How can Kruskal algorithm be used to find the minimum spanning tree?**

Creating Minimum Spanning Tree Using Kruskal Algorithm

- Step 1: Sort all edges in increasing order of their edge weights.
- Step 2: Pick the smallest edge.
- Step 3: Check if the new edge creates a cycle or loop in a spanning tree.
- Step 4: If it doesn’t form the cycle, then include that edge in MST.

### What are the two algorithms to find minimum spanning tree?

There are several polynomial-time algorithms for the minimum-spanning-tree problem. Introduction to Algorithms details two of them: Kruskal’s algorithm and Prim’s algorithm.

**How do you find the minimum spanning of a tree?**

When the Graph Is a Complete Graph. different labeled trees. Now to find the minimum spanning tree among all the spanning trees, we need to calculate the total edge weight for each spanning tree. A minimum spanning tree is a spanning tree with the smallest edge weight among all the spanning trees.

**Which of the following is not the algorithm to find the minimum spanning tree of the graph?**

9. Which of the following is not the algorithm to find the minimum spanning tree of the given graph? Explanation: The Boruvka’s algorithm, Prim’s algorithm and Kruskal’s algorithm are the algorithms that can be used to find the minimum spanning tree of the given graph.

#### How do you find the number of minimum spanning trees on a graph?

If a graph is a complete graph with n vertices, then total number of spanning trees is n(n-2) where n is the number of nodes in the graph.

**What type of algorithm is Kruskal algorithm?**

Kruskal’s Algorithm is used to find the minimum spanning tree for a connected weighted graph. The main target of the algorithm is to find the subset of edges by using which we can traverse every vertex of the graph.

**Which of the following algorithms is used for finding minimum spanning tree in Prim’s algorithm II Kruskal’s algorithm?**

Explanation: The Boruvka’s algorithm, Prim’s algorithm and Kruskal’s algorithm are the algorithms that can be used to find the minimum spanning tree of the given graph.

## How do you solve a minimum spanning tree?

Kruskal’s Minimum Spanning Tree Algorithm | Greedy Algo-2

- Sort all the edges in non-decreasing order of their weight.
- Pick the smallest edge. Check if it forms a cycle with the spanning tree formed so far. If cycle is not formed, include this edge.
- Repeat step#2 until there are (V-1) edges in the spanning tree.

**What is Kruskal’s algorithm used for?**