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» The metamathematics of random graphs
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TSP
2011
197views more  TSP 2011»
14 years 4 months ago
Group Object Structure and State Estimation With Evolving Networks and Monte Carlo Methods
—This paper proposes a technique for motion estimation of groups of targets based on evolving graph networks. The main novelty over alternative group tracking techniques stems fr...
Amadou Gning, Lyudmila Mihaylova, Simon Maskell, S...
CORR
2008
Springer
139views Education» more  CORR 2008»
14 years 10 months ago
The Secrecy Graph and Some of its Properties
A new random geometric graph model, the so-called secrecy graph, is introduced and studied. The graph represents a wireless network and includes only edges over which secure commun...
Martin Haenggi
JCT
2008
70views more  JCT 2008»
14 years 9 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»
15 years 10 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 3 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