fibonacci-heap

I need to use Fibonacci heap in my project and I am trying to use it from boost library. But I cannot figure out how to set up a user defined compare function for arbitrary data type. I need to construct a min heap for struct node defined as follows: struct node { int id; int weight; struct node* next; /* dist is a global array of integers */ bool operator > (struct node b) //Boost generates a Max-heap. What I need is a min-heap. {return dist[id] < dist[b.id] ? 1:0 ;} //That's why "<" is used for "operator >". bool operator < (struct node b) {return dist[id] > dist[b.id] ? 1:0 ;} bool operator

I know Prim's algorithm and I know its implementation but always I skip a part that I want to ask now. It was written that Prim's algorithm implementation with Fibonacci heap is O(E + V log(V)) and my question is: what is a Fibonacci heap in brief? How is it implemented? And How can you implement Prim's algorithm with a Fibonacci heap? A Fibonacci heap is a fairly complex priority queue that has excellent amoritzed asymptotic behavior on all its operations - insertion, find-min, and decrease-key all run in O(1) amortized time, while delete and extract-min run in amortized O(lg n) time. If you

What are the real world applications of Fibonacci heaps and binary heaps? It'd be great if you could share some instance when you used it to solve a problem. Edit: Added binary heaps also. Curious to know. You would rarely use one in real life. I believe the purpose of the Fibonacci heap was to improve the asymptotic running time of Dijkstra's algorithm. It might give you an improvement for very, very large inputs, but most of the time, a simple binary heap is all you need. From Wiki: Although the total running time of a sequence of operations starting with an empty structure is bounded by the

I've read the Wikipedia article on Fibonacci heaps and read CLRS's description of the data structure, but they provide little intuition for why this data structure works. Why are Fibonacci heaps designed the way they are? How do they work? Thanks! This answer is going to be pretty long, but I hope it helps provide some insight as to where the Fibonacci heap comes from. I'm going to assume that you're already familiar with binomial heaps and amortized analysis . Motivation: Why Fibonacci Heaps? Before jumping into Fibonacci heaps, it's probably good to explore why we even need them in the first

I was looking at the different kind of heap data structures. The Fibonacci heap seems to have the better worst case complexity for (1) insertion, (2) deletion and (2) finding the minimum element. I have found that in Java there is a class PriorityQueue that is a balanced binary heap. But why they did not use a Fibonacci heap? Also, is there an implementation of a Fibonacci heap in java.util ? Thanks! No, the standard Java collections API does not contain an implementation of a Fibonacci heap. I'm not sure why this is, but I believe it is because while Fibonacci heaps are asymptotically great