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Random threshold graphs with exponential fitness: The width of the phase transition for connectivity

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2 Author(s)
Armand M. Makowski ; Department of Electrical and Computer, Engineering, and Institute for Systems Research, University of Maryland, College Park, MD 20742 ; Osman Yagğan

We consider random threshold graphs where the fitness variables are exponentially distributed. Simulations show that the zero-one law for graph connectivity exhibits a sharp phase transition. We formalize this observation by providing exact asymptotics for the width of the phase transition in the many node regime.

Published in:

Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on

Date of Conference:

7-12 July 2013