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I am searching for linear time complexity of MST. I am trying to proceed this using Fibonacci heap as its union and find minimum operation takes constant time. Is possibly there any link to reduce time complexity of MST? Please help.

  • Prim's algorithm? – kelalaka Oct 18 '18 at 12:02
  • actually I am trying to make linear time complexity for finding MST. I found this fibonacci heap whose Find-minimum() operation takes 0(1) time. Now I am interested whether there is a possiblity to improve time complexity using this operation or not? – Md. Hasanur Rahman Oct 19 '18 at 13:06
  • Prim with Fibonacci is O(E+V log V), But if the Graph is sparse can be O(E+log log V)] – kelalaka Oct 19 '18 at 13:10
  • Fibonacci Heaps are theoretically better than Binary Heaps. But their the constant factors hidden are very [high](https://stackoverflow.com/a/31196753/10311208) – kelalaka Oct 19 '18 at 21:13

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