#### Title

A Characterization Of A Topology On The Countably Infinite Random Graph

#### Document Type

Article

#### Publication Date

10-1-2002

#### Published In

Topology And Its Applications

#### Abstract

Let G be a countably infinite random graph and let M(G) be the collection of all maximal complete subgraphs of G with the subspace topology inherited from the power set 2G. We show that with probability 1, M(G) is homeomorphic to the irrationals.

#### Recommended Citation

Charles M. Grinstead and L. M. Friedler.
(2002).
"A Characterization Of A Topology On The Countably Infinite Random Graph".
*Topology And Its Applications*.
Volume 124,
Issue 3.
465-473.

http://works.swarthmore.edu/fac-math-stat/13