{"id":9226,"date":"2022-08-30T11:58:50","date_gmt":"2022-08-30T11:58:50","guid":{"rendered":"https:\/\/www.prepbytes.com\/blog\/?p=9226"},"modified":"2024-01-30T06:43:52","modified_gmt":"2024-01-30T06:43:52","slug":"prims-algorithm-using-priority_queue-in-stl","status":"publish","type":"post","link":"https:\/\/prepbytes.com\/blog\/prims-algorithm-using-priority_queue-in-stl\/","title":{"rendered":"Prim\u2019s algorithm using priority_queue in STL"},"content":{"rendered":"

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\nEmbarking on the journey of understanding Prim’s algorithm and its implementation using the priority_queue in the C++ Standard Template Library (STL) opens a gateway to the realm of efficient minimum spanning tree algorithms. Prim’s algorithm is renowned for its simplicity and effectiveness in finding the minimum spanning tree of a connected, undirected graph. This article delves into the intricacies of Prim’s algorithm and demonstrates its application using the priority_queue data structure in the STL. We\u2019ll be given an undirected, weighted and connected graph. We have to find the minimum spanning tree using prim\u2019s algorithm. Let’s unravel the concepts, explore the implementation, and understand how this algorithm optimally connects the dots in graph theory.<\/p>\n

What is Prim\u2019s Algorithm?<\/h3>\n

Prim\u2019s algorithm is a greedy algorithm. Prim’s algorithm is used to find the minimum spanning tree. It finds the subset of edges that includes every vertex such that the sum of the weights of the edges can be minimized.<\/p>\n

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How does Prim’s algorithm work?<\/h3>\n

First, we\u2019ll initialize the MST with a random vertex then we\u2019ll find the tree that connects the tree with the new vertices.
\nThen select the minimum edge and add it to the tree. Then repeat the previous step until a minimum spanning tree is found.<\/p>\n

Applications of prim\u2019s algorithm:<\/h3>\n