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Exact expectations for random graphs and assignments

组合数学 2007-05-23 v1

摘要

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.

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引用

@article{arxiv.math/0411199,
  title  = {Exact expectations for random graphs and assignments},
  author = {Henrik Eriksson and Kimmo Eriksson and Jonas Sjostrand},
  journal= {arXiv preprint arXiv:math/0411199},
  year   = {2007}
}

备注

9 pages