umu.sePublications
Change search
ReferencesLink to record
Permanent link

Direct link
The Minimum Perfect Matching in Pseudo-dimension 0<q<1
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
(English)Manuscript (preprint) (Other academic)
Abstract [en]

It is known that for K_{n,n} equipped with i.i.d. exp(1) edge costs, the minimum total cost of a perfect matching converges to π^2/6 in probability. Similar convergence has been established for all edge cost distributions of pseudo-dimension q≥1, such as Wei(1,q) costs. In this paper we extend those results all q>0, confirming the M\'ezard-Parisi conjecture in the last remaining applicable case.

National Category
Discrete Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-121414OAI: oai:DiVA.org:umu-121414DiVA: diva2:932744
Available from: 2016-06-02 Created: 2016-06-02 Last updated: 2016-06-02

Open Access in DiVA

No full text

Other links

http://arxiv.org/abs/1403.3635

Search in DiVA

By author/editor
Larsson, Joel
By organisation
Department of Mathematics and Mathematical Statistics
Discrete Mathematics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 2 hits
ReferencesLink to record
Permanent link

Direct link