406 research outputs found
Minimum congestion spanning trees in planar graphs
The main purpose of the paper is to develop an approach to evaluation or
estimation of the spanning tree congestion of planar graphs. This approach is
used to evaluate the spanning tree congestion of triangular grids
Analytic and asymptotic properties of generalized Linnik probability densities
Cataloged from PDF version of article.This paper studies the properties of the probability density function pα,ν,n(x) of the n-variate generalized Linnik distribution whose characteristic function φα,ν,n(t) is given by where {norm of matrix}t{norm of matrix} is the Euclidean norm of t ∈ ℝn. Integral representations of pα,ν,n(x) are obtained and used to derive the asymptotic expansions of pα,ν,n(x) when {norm of matrix}x{norm of matrix}→0 and {norm of matrix}x{norm of matrix}→∞ respectively. It is shown that under certain conditions which are arithmetic in nature, pα,ν,n(x) can be represented in terms of entire functions. © 2009 Birkhäuser Boston
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