Stationary random graphs with prescribed iid degrees on a spatial Poisson process
2008 (English)Report (Other academic)
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
Matematiska institutionen, Stockholms universitet , 2008. , 12 p.
, Research reports in mathematical statistics, 2008:11
IdentifiersURN: urn:nbn:se:su:diva-10200ISBN: 1650-0377OAI: oai:DiVA.org:su-10200DiVA: diva2:176719