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RSA
2010
99views more  RSA 2010»
15 years 2 months ago
Hamiltonicity thresholds in Achlioptas processes
In this paper we analyze the appearance of a Hamilton cycle in the following random process. The process starts with an empty graph on n labeled vertices. At each round we are pre...
Michael Krivelevich, Eyal Lubetzky, Benny Sudakov
SODA
2008
ACM
105views Algorithms» more  SODA 2008»
15 years 6 months ago
Deterministic random walks on regular trees
Jim Propp's rotor router model is a deterministic analogue of a random walk on a graph. Instead of distributing chips randomly, each vertex serves its neighbors in a fixed or...
Joshua N. Cooper, Benjamin Doerr, Tobias Friedrich...
SASN
2004
ACM
15 years 10 months ago
Revisiting random key pre-distribution schemes for wireless sensor networks
Key management is one of the fundamental building blocks of security services. In a network with resource constrained nodes like sensor networks, traditional key management techni...
Joengmin Hwang, Yongdae Kim
CCR
2004
89views more  CCR 2004»
15 years 4 months ago
Should we build Gnutella on a structured overlay?
There has been much interest in both unstructured and structured overlays recently. Unstructured overlays, like Gnutella, build a random graph and use flooding or random walks on ...
Miguel Castro, Manuel Costa, Antony I. T. Rowstron
CPC
2002
80views more  CPC 2002»
15 years 4 months ago
The Wiener Index Of Random Trees
The Wiener index is analyzed for random recursive trees and random binary search trees in the uniform probabilistic models. We obtain the expectations, asymptotics for the varianc...
Ralph Neininger