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stationary random graphs with prescribed iid degrees on a spatial poisson process
Stockholm University, Faculty of Science, Department of Mathematics.
2009 (English)In: Electronic Communications in Probability, ISSN 1083-589X, E-ISSN 1083-589X, Vol. 14, 81-89 p.Article in journal (Refereed) Published
Abstract [en]

Let [P] be the points of a Poisson process on R-d and F a probability distribution with support on the non-negative integers. Models are formulated for generating translation invariant random graphs with vertex set [P] and iid vertex degrees with distribution F, and the length of the edges is analyzed. The main result is that finite mean for the total edge length per vertex is possible if and only if F has finite moment of order (d + 1)/d.

Place, publisher, year, edition, pages
2009. Vol. 14, 81-89 p.
Keyword [en]
Random graphs, degree distribution, Poisson process, stable matching, stationary model
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-60362ISI: 000263884000001OAI: oai:DiVA.org:su-60362DiVA: diva2:435773
Note
authorCount :1Available from: 2011-08-19 Created: 2011-08-16 Last updated: 2017-12-08Bibliographically approved

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