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Minimum Spanning Tree Algorithm

  • Definition of the spanning tree: A spanning tree of a graph G associated with n nodes is a tree which has all of the n nodes from the graph so that each and every edge of the tree is definitely an edge in the graph.
  • Definition: when the edges have weights, then the weight of a tree is the sum of the weights of the edges of the tree.
  • Statement from the MST problem:
    • Input : A weighted connected graph G = ( V, E ). The weights tend to be symbolized through the 2D array (matrix) W[ 1:n, 1:n ], where W[ i, j ] may be the weight associated with edge ( i, j ).
    • Problem: Find a minimum-weight spanning tree associated with G.

Important topics in Minimum Spanning Tree

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