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COMBINATORICS
2000
88views more  COMBINATORICS 2000»
13 years 7 months ago
Note on Sparse Random Graphs and Cover Graphs
It is shown in this note that with high probability it is enough to destroy all triangles in order to get a cover graph from a random graph Gn,p with p log n/n for any constant ...
Tom Bohman, Alan M. Frieze, Miklós Ruszink&...
FOCS
2009
IEEE
14 years 2 months ago
Randomized Self-Assembly for Exact Shapes
— Working in Winfree’s abstract tile assembly model, we show that a constant-size tile assembly system can be programmed through relative tile concentrations to build an n × n...
David Doty
RSA
2006
80views more  RSA 2006»
13 years 7 months ago
Regular subgraphs of random graphs
In this paper, we prove that there exists a function k = (4 + o(1))k such that G(n, /n) contains a k-regular graph with high probability whenever > k. In the case of k = 3, it...
Béla Bollobás, Jeong Han Kim, Jacque...
TWC
2008
95views more  TWC 2008»
13 years 7 months ago
The Impact of Channel Randomness on Coverage and Connectivity of Ad Hoc and Sensor Networks
Abstract-- In this paper, we first present an analytical procedure for the computation of the node isolation probability and coverage in an ad hoc network in the presence of channe...
Daniele Miorandi
CPC
2011
199views Education» more  CPC 2011»
13 years 2 months ago
Sub-Gaussian Tails for the Number of Triangles in G( n, p)
Let X be the random variable that counts the number of triangles in the binomial random graph G(n, p). We show that for some positive constant c, the probability that X deviates f...
Guy Wolfovitz