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NDJFL
2010
14 years 8 months ago
An Extension of van Lambalgen's Theorem to Infinitely Many Relative 1-Random Reals
Van Lambalgen's Theorem plays an important role in algorithmic randomness, especially when studying relative randomness. In this paper we extend van Lambalgen's Theorem ...
Kenshi Miyabe
JCT
2008
70views more  JCT 2008»
15 years 1 months ago
The number of possibilities for random dating
Let G be a regular graph and H a subgraph on the same vertex set. We give surprisingly compact formulas for the number of copies of H one expects to find in a random subgraph of G...
Aaron Abrams, Rod Canfield, Andrew Granville
STOC
2009
ACM
106views Algorithms» more  STOC 2009»
16 years 2 months ago
Random graphs and the parity quantifier
The classical zero-one law for first-order logic on random graphs says that for every first-order property in the theory of graphs and every p (0, 1), the probability that the r...
Phokion G. Kolaitis, Swastik Kopparty
ICOIN
2004
Springer
15 years 7 months ago
On Generating Random Network Structures: Connected Graphs
Abstract. In this paper we present the set of base algorithms for generating connected random graphs (RG). RG can be used for testing different algorithms on networks. The fast al...
Alexey S. Rodionov, Hyunseung Choo
RSA
2010
118views more  RSA 2010»
14 years 8 months ago
Asymptotic equivalence and contiguity of some random graphs
We show that asymptotic equivalence, in a strong form, holds between two random graph models with slightly differing edge probabilities under substantially weaker conditions than w...
Svante Janson