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A NOTE ON THE CONDUCTIVITY OF RANDOM TREES

Published online by Cambridge University Press:  24 September 2003

Mokhtar H. Konsowa
Mokhtar H. Konsowa
Affiliation:
Department of Mathematics, Faculty of Science, Helwan University, Helwan, Cairo, Egypt, E-mail: konsowa53@hotmail.com
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Abstract

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We prove that no stochastic domination exists between the effective resistance of a spherically symmetric random tree and that of a branching process in a varying environments tree if they grow according to the same law of distribution.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 17 , Issue 4 , October 2003 , pp. 571 - 576
Copyright
© 2003 Cambridge University Press