Hostname: page-component-5c6d5d7d68-lvtdw Total loading time: 0 Render date: 2024-08-08T17:31:08.010Z Has data issue: false hasContentIssue false
  • English
  • Français

Exact Expectations for Random Graphs and Assignments

Published online by Cambridge University Press:  04 July 2003

HENRIK ERIKSSON ,
KIMMO ERIKSSON  and
JONAS SJÖSTRAND
HENRIK ERIKSSON
Affiliation:
NADA, KTH, SE-100 44 Stockholm, Sweden (e-mail: henrik@nada.kth.se
KIMMO ERIKSSON
Affiliation:
IMA, Mälardalens högskola, Box 883, SE-721 23 Västerås, Sweden (e-mail: kimmo.eriksson@mdh.se)
JONAS SJÖSTRAND
Affiliation:
NADA, KTH, SE-100 44 Stockholm, Sweden (e-mail: jonass@nada.kth.se)
Get access Rights & Permissions [Opens in a new window]

Abstract

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 a bearing on the random assignment problem.

Type
Paper
Information
Combinatorics, Probability and Computing , Volume 12 , Issue 4 , July 2003 , pp. 401 - 412
Copyright
2003 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)