Kruskal algorithm in C
The greedy Kruskal's method searches for the quickest route through a connected weighted network. In this algorithm, we start with an empty set of edges and add edges to the set one at a time until we obtain a spanning tree.
Kruskal's approach is a well-known algorithm for determining the shortest spanning tree in a linked, weighted network. A minimum spanning tree is a tree that joins every node in a graph using the fewest possible total edge weights.
The algorithm considers all edges of the graph in ascending weight order and adds them to the minimum spanning tree if they do not form a cycle with the edges already in the tree. Kruskal's approach employs the disjoint-set data structure to prevent the formation of cycles.
Kruskal's algorithm can be used in a variety of applications, such as network design, clustering, and image segmentation. It is frequently used in engineering, computer science, and other disciplines that call for graph analysis.
The Kruskal algorithm's steps are listed below:
Here is the implementation of Kruskal's algorithm in C:
This code reads in the number of vertices and edges of a graph, as well as the edges and their weights, from the user. It then runs Kruskal's algorithm on the graph and prints out the minimum spanning tree.
Input and output for the Kruskal's algorithm implementation in C:
Minimum Spanning Tree: (0, 1) -> 2 (1, 2) -> 3 (1, 4) -> 5 (0, 3) -> 6
In this example, the input specifies a graph with 5 vertices and 7 edges. The edge weights are then read in from the user. Kruskal's algorithm's output displays the edges that make up the minimal spanning tree.
The Kruskal algorithm is a straightforward and effective method for determining a graph's least spanning tree. E is the number of edges in the graph, and its temporal complexity is O(E log E). It is hence appropriate for huge graphs.
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