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Research paper on kruskal s algorithm

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A telecommunication company wants to connect all the blocks in a new neighborhood. However, the easiest possibility to install new cables is to bury them along roads. So the company decides to use hubs which are placed at road junctions. How can the cost be minimized if the price for connecting two hubs corresponds to the length of the cable attaching them? Considering the roads as a graph, the above example is an instance of the Minimum Spanning Tree problem. Prim's and Kruskal's algorithms are two notable algorithms which can be used to find the minimum subset of edges in a weighted undirected graph connecting all nodes.
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Research and Improvement of Kruskal Algorithm

Join Stack Overflow to learn, share knowledge, and build your career. Connect and share knowledge within a single location that is structured and easy to search. Given an undirected connected graph with weights. I have no idea how to do this and really need some guidance about how the weights can help me in here.
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Present the distance arrays. Show your processed list of all edges and present the MST itself as a list of edges in the format: from, to, weight The above operations should be done manually. Show your workings.
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T his minimum spanning tree algorithm was first described by Kruskal in in the same paper where he rediscovered Jarnik's algorithm. This algorithm was also rediscovered in by Loberman and Weinberger, but somehow avoided being renamed after them. The basic idea of the Kruskal's algorithms is as follows: scan all edges in increasing weight order; if an edge is safe, keep it i. It builds the MST in forest. Initially, each vertex is in its own tree in forest.
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