fastest minimum spanning tree algorithm


Abstract. We present a fast approximate Minimum spanning tree(MST) framework on the complete graph of a dataset with N points, and any ex- act MST algorithm 
  • Which minimum spanning tree algorithm is fastest?

    Faster algorithms
    The fastest non-randomized comparison-based algorithm with known complexity, by Bernard Chazelle, is based on the soft heap, an approximate priority queue. Its running time is O(m ?(m,n)), where ? is the classical functional inverse of the Ackermann function.
  • Is Prim or Kruskal faster?

    Kruskal's algorithm may have disconnected graphs. When it comes to dense graphs, the Prim's algorithm runs faster.
  • Which is better Prims or Kruskal?

    The advantage of Prim's algorithm is its complexity, which is better than Kruskal's algorithm. Therefore, Prim's algorithm is helpful when dealing with dense graphs that have lots of edges. However, Prim's algorithm doesn't allow us much control over the chosen edges when multiple edges with the same weight occur.
  • Kruskal's Algorithm builds the spanning tree by adding edges one by one into a growing spanning tree. Kruskal's algorithm follows greedy approach as in each iteration it finds an edge which has least weight and add it to the growing spanning tree.
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