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Random intersection graphs when m=ω(n): An equivalence theorem relating the evolution of the G(n, m, p) and G(n, p) models

✍ Scribed by James Allen Fill; Edward R. Scheinerman; Karen B. Singer-Cohen

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
195 KB
Volume
16
Category
Article
ISSN
1042-9832

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✦ Synopsis

When the random intersection graph G n m p proposed by Karoński, Scheinerman, and Singer-Cohen [Combin Probab Comput 8 (1999), 131-159] is compared with the independent-edge G n p , the evolutions are different under some values of m and equivalent under others. In particular, when m = n α and α > 6, the total variation distance between the graph random variables has limit 0.

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