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Exact expectations for random graphs and assignments
KTH, Sweden.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0002-7164-0924
KTH, Sweden.ORCID iD: 0000-0002-7601-149X
2003 (English)In: Combinatorics, probability & computing, ISSN 0963-5483, E-ISSN 1469-2163, Vol. 12, p. 401-412Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2003. Vol. 12, p. 401-412
National Category
Discrete Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-50952DOI: 10.1017/S096354830200545XISI: 000184560800003Scopus ID: 2-s2.0-0041492923OAI: oai:DiVA.org:mdh-50952DiVA, id: diva2:1471367
Available from: 2020-09-28 Created: 2020-09-28 Last updated: 2022-02-07Bibliographically approved

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