A note on the component structure in random intersection graphs with tunable clustering
Artikel i vetenskaplig tidskrift, 2008

We study the component structure in random intersection graphs with tunable clustering, and show that the average degree works as a threshold for a phase transition for the size of the largest component. That is, if the expected degree is less than one, the size of the largest component is a.a.s. of logarithmic order, but if the average degree is greater than one, a.a.s. a single large component of linear order emerges, and the size of the second largest component is at most of logarithmic order.

Författare

Andreas Lagerås

Chalmers, Matematiska vetenskaper, matematisk statistik

Göteborgs universitet

M. Lindholm

Electronic Journal of Combinatorics

1097-1440 (ISSN) 1077-8926 (eISSN)

Vol. 15 1 8-

Ämneskategorier

Matematik

Mer information

Skapat

2017-10-07