We show that any k-regular bipartite graph with 2n vertices has at least ((k−1)k−1 kk−2 )n perfect matchings (1-factors). Equivalently, this is a lower bound on the permanent...
We study the relationship between multivariate quasi-copulas and measures that they may or may not induce on [0, 1]n. We first study the mass distribution of the pointwise best p...
We analyze the capacity scaling laws of wireless networks where the spatial distribution of nodes over the network area exhibits a high degree of clustering. In particular we cons...
We are searching for an unknown horizontal or vertical line in the plane under the competitive framework. We design a well-suited framework for all cylcic strategies that result in...
We consider a so-called random obstacle model for the motion of a hypersurface through a field of random obstacles, driven by a constant driving field. The resulting semilinear par...