Dr. Karger et al., A RANDOMIZED LINEAR-TIME ALGORITHM TO FIND MINIMUM SPANNING-TREES, Journal of the Association for Computing Machinery, 42(2), 1995, pp. 321-328
We present a randomized linear-time algorithm to find a minimum spanni
ng tree in a connected graph with edge weights. The algorithm uses ran
dom sampling in combination with a recently discovered linear-time alg
orithm for verifying a minimum spanning tree. Our computational model
is a unit-cost random-access machine with the restriction that the onl
y operations allowed on edge weights are binary comparisons.