For a sparse graph G = (V, E), where |E| = (V), is the implementation of Prims

Question:

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?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

Question Posted: