Modeling toroidal networks with the Gaussian integers
In this paper we consider a broad family of toroidal networks, denoted as Gaussian
networks, which include many previously proposed and used topologies. We will define
such networks by means of the Gaussian Integers, the subset of the Complex numbers with
integer real and imaginary parts. Nodes in Gaussian networks are labeled by Gaussian
integers, which confer these topologies an algebraic structure based on quotient rings of the
Gaussian integers. In this sense, Gaussian integers reveal themselves as the appropriate …
networks, which include many previously proposed and used topologies. We will define
such networks by means of the Gaussian Integers, the subset of the Complex numbers with
integer real and imaginary parts. Nodes in Gaussian networks are labeled by Gaussian
integers, which confer these topologies an algebraic structure based on quotient rings of the
Gaussian integers. In this sense, Gaussian integers reveal themselves as the appropriate …
[PDF][PDF] Modeling Toroidal Networks with the Gaussian Integers
M Moretó, EM Gabidulin - IEEE TRANSACTIONS ON COMPUTERS, 2008 - academia.edu
In this paper, we consider a broad family of toroidal networks, denoted as Gaussian
networks, which include many previously proposed and used topologies. We will define
such networks by means of the Gaussian integers, the subset of the complex numbers with
integer real and imaginary parts. Nodes in Gaussian networks are labeled by Gaussian
integers, which confer on these topologies an algebraic structure based on quotient rings of
the Gaussian integers. In this sense, Gaussian integers reveal themselves as the …
networks, which include many previously proposed and used topologies. We will define
such networks by means of the Gaussian integers, the subset of the complex numbers with
integer real and imaginary parts. Nodes in Gaussian networks are labeled by Gaussian
integers, which confer on these topologies an algebraic structure based on quotient rings of
the Gaussian integers. In this sense, Gaussian integers reveal themselves as the …
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