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» Universality of random graphs
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SIAMJO
2008
57views more  SIAMJO 2008»
14 years 11 months ago
Universal Confidence Sets for Solutions of Optimization Problems
We consider random approximations to deterministic optimization problems. The objective function and the constraint set can be approximated simultaneously. Relying on concentratio...
Silvia Vogel
JCT
2008
65views more  JCT 2008»
14 years 11 months ago
Random graphs on surfaces
Counting labelled planar graphs, and typical properties of random labelled planar graphs, have received much attention recently. We start the process here of extending these invest...
Colin McDiarmid
CPC
2006
93views more  CPC 2006»
14 years 11 months ago
Generating Outerplanar Graphs Uniformly at Random
We show how to generate labeled and unlabeled outerplanar graphs with n vertices uniformly at random in polynomial time in n. To generate labeled outerplanar graphs, we present a c...
Manuel Bodirsky, Mihyun Kang
IPL
2008
79views more  IPL 2008»
14 years 11 months ago
The probability of "undefined" (non-converging) output in generating the universal probability distribution
In order to generate a universal probability distribution to extrapolate a binary string x of length i, we feed random bits into a universal device, M. When we find an input strin...
Ray J. Solomonoff
COMBINATORICS
2006
131views more  COMBINATORICS 2006»
14 years 11 months ago
Encores on Cores
We give a new derivation of the threshold of appearance of the k-core of a random graph. Our method uses a hybrid model obtained from a simple model of random graphs based on rand...
Julie Cain, Nicholas C. Wormald