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 (...
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...
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, ...
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...
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...