Difference between Prim's and Kruskal's Algorithm | Conceptual Points for Exams

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In this video, we will discuss the differences between Prim's Algorithm and Kruskal's Algorithm. Also, the video covers some conceptual points about Prim's Algorithm and Kruskal's Algorithm.

Topics covered in the video-

1) Does Prim's Algorithm and Kruskal's Algorithm always produces same results?
2) Which Algorithm - Prim's Algorithm or Kruskal's Algorithm is preferred over other?
3) Difference between Prim's Algorithm and Kruskal's Algorithm

For details, please watch the video.

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Prim's Algorithm and Kruskal's Algorithm are important topics for semester examination as well as competitive examinations like GATE, NET etc.

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  1. LearnVidFun
  2. prims
  3. kruskals
  4. prims algorithm
  5. kruskals algorithm
  6. algorithms
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Hey Guys, Now we have launched our own website www.gatevidyalay.com
Kindly visit that website and you can download the notes from there and get other study material!
If you can provide any suggestions regarding the improvement of YouTube channel as well as website...we would definitely love to have them!
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LearnVidFun
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nice explain.. and ur hand writting is too good..

apoorvajoshi
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Good, so it's just a difference of the order.

WTFax
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"If the edges are already sorted [...]
In this case, time complexity of Kruskal’s Algorithm = O(E + V)"

From a theoretical perspective, Prim's algorithm (with Fibonacci Heaps) is never worse than Kruskal's. In fact, Prim's algorithm can be further improved to O(E log* V) rather easily, where log* is the iterated logarithm. This can be found in the Fredman-Tarjan paper where they introduced Fibonacci Heaps and is, unfortunately, not so well-known. It works roughly like this: Grow a tree until the heap size exceeds a certain threshold, then start growing another tree in some unused vertex, etc. Then contract the trees and continue on the same graph, but with an adjusted heap threshold.

Flovus