A group of edges that connects two Set of vertices in a graph is called cut in graph theory. So, at every step of Prim’s Algorithm, we find a cut (of two sets, one contains the vertices already ...

Given an undirected, connected and weighted graph G(V, E) with V number of vertices (which are numbered from 0 to V-1) and E number of edges. Find and print the Minimum Spanning Tree (MST) using ...

Learn how to use Prim's algorithm, a greedy method for finding the minimum spanning tree of a weighted graph, and how to ace Prim's algorithm questions in interviews.

In theory, it cannot be ruled out that the algorithms might run for longer than the age of the universe. But in practice, many algorithms seem to work just fine. Almost always.

In their 2019 paper Holm and Rotenberg found that some drawings provide a more advantageous starting position for inserting an edge than others. These “good” drawings are only a few flips away from ...

Graph theory is a powerful tool for addressing problems involving discrete structures, such as determining the shortest length of connected river networks or the shortest distance between connected ...