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EJC
2006
13 years 9 months ago
Counting connected graphs asymptotically
We find the asymptotic number of connected graphs with k vertices and k - 1 + l edges when k, l approach infinity, reproving a result of Bender, Canfield and McKay. We use the pro...
Remco van der Hofstad, Joel Spencer
SPIN
2007
Springer
14 years 3 months ago
Generating Counter-Examples Through Randomized Guided Search
Abstract. Computational resources are increasing rapidly with the explosion of multi-core processors readily available from major vendors. Model checking needs to harness these res...
Neha Rungta, Eric G. Mercer
RSA
2002
69views more  RSA 2002»
13 years 8 months ago
On the covariance of the level sizes in random recursive trees
In this paper we study the covariance structure of the number of nodes k and l steps away from the root in random recursive trees. We give an analytic expression valid for all k, ...
Remco van der Hofstad, Gerard Hooghiemstra, Piet V...
APPROX
2008
Springer
100views Algorithms» more  APPROX 2008»
13 years 11 months ago
Optimal Random Matchings on Trees and Applications
In this paper we will consider tight upper- and lower-bounds on the weight of the optimal matching for random point sets distributed among the leaves of a tree, as a function of it...
Jeff Abrahamson, Béla Csaba, Ali Shokoufand...
ML
2006
ACM
163views Machine Learning» more  ML 2006»
13 years 9 months ago
Extremely randomized trees
Abstract This paper proposes a new tree-based ensemble method for supervised classification and regression problems. It essentially consists of randomizing strongly both attribute ...
Pierre Geurts, Damien Ernst, Louis Wehenkel