A continuous-time network evolution model describing 3-interactions

István Fazekas, Attila Barta, Csaba Noszály and Bettina Porvázsnyik

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 11, 4001-4020

Abstract: A continuous-time network evolution model is studied. The basic units of the model are triangles describing 3-interactions. The evolution of the triangles is governed by a continuous-time branching process. The asymptotic behavior of the model is studied. It is proved that the number of triangles, edges and vertices have the same magnitude on the event of non-extinction, and it is eαt, where α is the Malthusian parameter.

Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/03610926.2021.1985141 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:52:y:2023:i:11:p:4001-4020

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/lsta20

DOI: 10.1080/03610926.2021.1985141

Access Statistics for this article

Communications in Statistics - Theory and Methods is currently edited by Debbie Iscoe

More articles in Communications in Statistics - Theory and Methods from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().