In this paper we study networks based on torus topologies enhanced with additional, arbitrary assigned links. We develop a method for analyzing the expected number of hops which can be applied to any torus topol-ogy with randomly assigned extra links when the simplest greedy routing is used. Using this method, we study the following topologies with extra links: one-dimensional unidirectional an...

A De Bruijn torus is a periodic d−dimensional k−ary array such that each n1 × · · · × nd k−ary array appears exactly once with the same period. We describe two new methods of constructing such arrays. The first is a type of product that constructs a k1k2−ary torus from a k1−ary torus and a k2−ary torus. The second uses a decomposition of a d-dimensional torus to produce a d + 1 dimensional toru...

In the context of the unified model of Seyfert galaxies, we use observations from the literature and a radiative transfer model to investigate the near–IR to mm emission produced by the presumed torus in the Circinus galaxy, from 2µm to 1.3mm. From the infrared SED modelling, we find that the total luminosity (L IR) in this wavelength range, consists of similar contributions from the torus and ...

In the context of the unified model of Seyfert galaxies, we use observations from the literature and a radiative transfer model to investigate the near–IR to mm emission produced by the presumed torus in the Circinus galaxy, from 2μm to 1.3mm. From the infrared SED modelling, we find that the total luminosity (LIR) in this wavelength range, consists of similar contributions from the torus and s...

The gravitational-wave spectrum emitted by a non-axisymmetric torus rotating at an angular velocity ΩT , is derived in terms of a structure function representing a combination of sausage-tilt modes in the torus in the limit of an incompressible fluid. The analysis of the gravitational-wave spectrum is then applied to a model proposed recently, in which a highly magnetized torus interacts with a...