17. How to solve the Minimum Spanning Tree using Prim's algorithm | Optimization using Excel скачать в хорошем качестве

17. How to solve the Minimum Spanning Tree using Prim's algorithm | Optimization using Excel

In this video, we're going to learn how to solve the Minimum Spanning Tree problem using Prim's algorithm in Excel. This problem is important in computer science and is used in many different fields, such as data engineering and network security. If you're interested in learning how to solve problems using algorithms and computer science concepts, this video is for you! By the end of this video, you'll know how to solve the Minimum Spanning Tree problem using Prim's algorithm in Excel! This is the 17th video of the lecture series Optimization using Excel. Here we have discussed how to solve a minimum spanning tree problem using Prim's algorithm. The objective is to find a minimum spanning tree network from a given network arrangement of nodes. Spanning Tree and Minimum Spanning Tree What are the steps of Prim's algorithm? The steps for implementing Prim's algorithm are as follows: Initialize the minimum spanning tree with a vertex chosen at random. Find all the edges that connect the tree to new vertices, find the minimum and add it to the tree. Keep repeating step 2 until we get a minimum spanning tree. What is the difference between Prims and Kruskal algorithm? Prim's algorithm gives connected component as well as it works only on connected graph. Prim's algorithm runs faster in dense graphs. Kruskal's algorithm runs faster in sparse graphs. It generates the minimum spanning tree starting from the root vertex. Why does Prim's algorithm work? Prim's algorithm works by starting at a random node and traversing the graph selecting the edge with the lowest weight. While this method reminds us of Dijkstra's algorithm it actually only prioritizes the edges' direct weight and not the whole path to the starting node such as with Dijkstra. Why Prims is better than Kruskal? The advantage of Prim's algorithm is its complexity, which is better than Kruskal's algorithm. Therefore, Prim's algorithm is helpful when dealing with dense graphs that have lots of edges. However, Prim's algorithm doesn't allow us much control over the chosen edges when multiple edges with the same weight occur. Why Prims algorithm is greedy? Prim's Algorithm reorders its input in order to choose the cheapest edge. We say that Prim's Algorithm is an adaptive greedy algorithm; in the sense that, at every iteration, the algorithm tries to readjust the input to its own convenience.