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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
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Phoniex University
Oct-2001 - Nov-2016
More Fibonacci-heap operations
We wish to augment a Fibonacci heap H to support two new operations without changing the amortized running time of any other Fibonacci-heap operations.
a. The operation FIB-HEAP-CHANGE-KEY(H, x, k) changes the key of node x to the value k. Give an efficient implementation of FIB-HEAP-CHANGE-KEY, and analyze the amortized running time of your implementation for the cases in which k is greater than, less than, or equal to key[x].
b. Give an efficient implementation of FIB-HEAP-PRUNE(H, r), which deletes min(r, n[H]) nodes from H. Which nodes are deleted should be arbitrary. Analyze the amortized running time of your implementation. (Hint: You may need to modify the data structure and potential function.)
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