Exact expectations for random graphs and assignments

Henrik Eriksson, Kimmo Eriksson, Jonas Sjostrand

Published 2004-11-09Version 1

For a random graph on n vertices where the edges appear with individual rates, we give exact formulas for the expected time at which the number of components has gone down to k and the expected length of the corresponding minimal spanning forest. For a random bipartite graph we give a formula for the expected time at which a k-assignment appears. This result has bearing upon the random assignment problem.