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RSA
2011
121views more  RSA 2011»
13 years 21 days ago
Ramsey games with giants
: The classical result in the theory of random graphs, proved by Erd˝os and Rényi in 1960, concerns the threshold for the appearance of the giant component in the random graph pr...
Tom Bohman, Alan M. Frieze, Michael Krivelevich, P...
RSA
2010
99views more  RSA 2010»
13 years 4 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
ALGORITHMICA
2007
117views more  ALGORITHMICA 2007»
13 years 5 months ago
Random Geometric Graph Diameter in the Unit Ball
The unit ball random geometric graph G = Gd p(λ, n) has as its vertices n points distributed independently and uniformly in the unit ball in Rd, with two vertices adjacent if and ...
Robert B. Ellis, Jeremy L. Martin, Catherine H. Ya...
SIAMDM
2010
119views more  SIAMDM 2010»
13 years 15 days ago
A Spanning Tree Method for Bounding Hitting Times of Random Walks on Graphs
In this paper we consider the problem of computing the expected hitting time to a vertex for random walks on graphs. We give a method for computing an upper bound on the expected ...
Randy Cogill, Cheng Peng
DM
2007
83views more  DM 2007»
13 years 5 months ago
Codes identifying sets of vertices in random networks
In this paper we deal with codes identifying sets of vertices in random networks; that is, (1, ≤ ℓ)-identifying codes. These codes enable us to detect sets of faulty processor...
Alan M. Frieze, Ryan Martin, Julien Moncel, Mikl&o...