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with minimum spanning tree algorthim

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Q: How can you find minimum spanning trees?
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What are the Prim and Kruskal algorithms?

we use them to find minimum spanning trees.


How many spanning trees can be drawn with 5 labeled vertices?

No of spanning trees in a complete graph Kn is given by n^(n-2) so for 5 labelled vertices no of spanning trees 125


What is spanning tree in data structure?

A spanning tree is a tree associated with a network. All the nodes of the graph appear on the tree once. A minimum spanning tree is a spanning tree organized so that the total edge weight between nodes is minimized.


Can dijkstra's algorithm produce a spanning tree?

yes, but a shortest path tree, not a minimum spanning tree


How do you count spanning trees in a graph?

Cayleys formula states that for a complete graph on nvertices, the number of spanning trees is n^(n-2). For a complete bipartite graph we can use the formula p^q-1 q^p-1. for the number of spanning trees. A generalization of this for any graph is Kirchhoff's theorem or Kirchhoff's matrix tree theorem. This theorem looks at the Laplacian matrix of a graph. ( you may need to look up what that is with some examples). For graphs with a small number of edges and vertices, you can find all the spanning trees and this is often quicker. There are also algorithms such as depth-first and breadth-first for finding spanning trees.


Applications of minimum cost spanning tree?

Minimum cost spanning tree is used for Network designing.(like telephone, electrical, hydraulic, TV cable, computer, road)


What is krushkal algorithm?

Kruskal's algorithm is an algorithm in graph theory that finds a minimum spanning tree for a connected weighted graph. This means it finds a subset of the edges that forms a tree that includes every vertex, where the total weight of all the edges in the tree is minimized. If the graph is not connected, then it finds a minimum spanning forest (a minimum spanning tree for each connected component). Kruskal's algorithm is an example of a greedy algorithm.


What is a sunspot minimum?

a sunspot minimum (also known as maunder minimum) is the name used for the period roughly spanning 1645 to 1715 when sunspots exceedingly became rare as noted by solar observers of the time.


What is the complexity of kruskal's minimum spanning tree algorithm on a graph with n nodes and e edges?

o(eloge)


How do you use prim's algorithm to find a spanning tree of a connected graph with no weight on its edges?

Prims Algorithm is used when the given graph is dense , whereas Kruskals is used when the given is sparse,we consider this because of their time complexities even though both of them perform the same function of finding minimum spanning tree. ismailahmed syed


What is the minimum number of trees in a forest?

There is no minimum number of trees that must be present for an expanse of land to be called a forest - in fact, the name was originally applied to any area used for hunting and had nothing to do with trees.


What is the total number of spanning tree that can be drawn using five labeled vertices?

125 according to Cayley's formula for counting spanning trees. For a complete graph Kn, t(kn) = nn-2 where n is the number of vertices.