An old MST method, called Baruvka?s algorithm, works as follows on a graph G having n vertices
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An old MST method, called Baruvka?s algorithm, works as follows on a graph G having n vertices and m edges with distinct weights:
Prove that this algorithm is correct and that it runs in O(mlogn) time.
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Let T be a subgraph of G initially containing just the vertices in V. while T has fewer than n – 1 edges do for each connected component C; of T do Find the lowest-weight edge (u,v) in E with u in C; and v not in ;. Add (u, v) to T (unless it is already in T). return T
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Baruvkas algorithm is a minimum spanning tree MST algorithm that works by constructing the tree one ...View the full answer
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Related Book For
Data Structures and Algorithms in Java
ISBN: 978-1118771334
6th edition
Authors: Michael T. Goodrich, Roberto Tamassia, Michael H. Goldwasser
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