A randomized linear-time algorithm for finding minimum spanning trees

@inproceedings{Klein1994ARL,
  title={A randomized linear-time algorithm for finding minimum spanning trees},
  author={Philip N. Klein and Robert E. Tarjan},
  booktitle={STOC},
  year={1994}
}
We present a randomized linear-time algorithm for finding a minimum spanning tree in a connect ed graph with edge weights. The algorithm is a modification of one proposed by Karger and uses random sampling in combination with a recently discovered linear-time algorithm for verifying a minimum spanning tree. Our computational model is a unit-cost random-access machine with the restriction that the only operations allowed on edge weights are binary comparisons. *A full version of this paper will… CONTINUE READING
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Approximating, verify- Algorithms, Chapter 6, Society fo:r Industrial and Applied Mathematics, Philadeling, and constructing minimum spanning forests,

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