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RSA
2010
98views more  RSA 2010»
13 years 5 months ago
Merging percolation on Zd and classical random graphs: Phase transition
: We study a random graph model which is a superposition of bond percolation on Zd with parameter p, and a classical random graph G(n, c/n). We show that this model, being a homoge...
Tatyana S. Turova, Thomas Vallier
ENDM
2002
91views more  ENDM 2002»
13 years 7 months ago
On minimally 3-connected graphs on a surface
It is well-known that the maximal size of minimally 3-connected graphs of order 7n is 93 -n . In this paper, we shall prove that if G is a minimally 3-connected graph of order n, ...
Katsuhiro Ota
MJ
2006
53views more  MJ 2006»
13 years 7 months ago
Effect of nanoimprinted surface relief on Si and Ge nucleation and ordering
Surface relief formed by nanoimprinting and etching into a thermally grown SiO2 layer on Si was used to position the initial nuclei formed by chemically vapor deposited Si and Ge....
T. I. Kamins, A. A. Yasseri, S. Sharma, R. F. W. P...
ESA
2005
Springer
108views Algorithms» more  ESA 2005»
14 years 28 days ago
Bootstrapping a Hop-Optimal Network in the Weak Sensor Model
Sensor nodes are very weak computers that get distributed at random on a surface. Once deployed, they must wake up and form a radio network. Sensor network bootstrapping research t...
Martin Farach-Colton, Rohan J. Fernandes, Miguel A...
RSA
2006
88views more  RSA 2006»
13 years 7 months ago
Randomly coloring sparse random graphs with fewer colors than the maximum degree
We analyze Markov chains for generating a random k-coloring of a random graph Gn,d/n. When the average degree d is constant, a random graph has maximum degree (log n/ log log n), ...
Martin E. Dyer, Abraham D. Flaxman, Alan M. Frieze...