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IM
2007
14 years 11 months ago
The Spectral Gap of a Random Subgraph of a Graph
We examine the relationship of a graph G and its random subgraphs which are defined by independently choosing each edge with probability p. Suppose that G has a spectral gap λ (...
Fan R. K. Chung, Paul Horn
IWOCA
2009
Springer
134views Algorithms» more  IWOCA 2009»
15 years 6 months ago
Combinatorial Models for Cooperation Networks
Abstract. We analyze special random network models – so-called thickened trees – which are constructed by random trees where the nodes are replaced by local clusters. These obj...
Michael Drmota, Bernhard Gittenberger, Reinhard Ku...
WAW
2004
Springer
96views Algorithms» more  WAW 2004»
15 years 5 months ago
A Geometric Preferential Attachment Model of Networks
We study a random graph Gn that combines certain aspects of geometric random graphs and preferential attachment graphs. The vertices of Gn are n sequentially generated points x1, ...
Abraham Flaxman, Alan M. Frieze, Juan Vera
CC
2010
Springer
112views System Software» more  CC 2010»
14 years 6 months ago
Random Cnf's are Hard for the Polynomial Calculus
We show a general reduction that derives lower bounds on degrees of polynomial calculus proofs of tautologies over any field of characteristic other than 2 from lower bounds for r...
Eli Ben-Sasson, Russell Impagliazzo
ISPA
2004
Springer
15 years 5 months ago
A Scalable Low Discrepancy Point Generator for Parallel Computing
The Monte Carlo (MC) method is a simple but effective way to perform simulations involving complicated or multivariate functions. The QuasiMonte Carlo (QMC) method is similar but...
Kwong-Ip Liu, Fred J. Hickernell