For a sparse graph G = (V, E), where |E| = (V), is the implementation of Prims
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For a sparse graph G = (V, E), where |E| = Θ(V), is the implementation of Prim’s algorithm with a Fibonacci heap asymptotically faster than the binary-heap implementation? What about for a dense graph, where |E| = Θ(V2)? How must the sizes |E| and |V| be related for the Fibonacci-heap implementation to be asymptotically faster than the binary-heap implementation?
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Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
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