IMDEA Networks Institute Publications Repository

Bisection Bandwidth of Product Networks with Application to Data Centers

Arjona Aroca, Jordi (2011) Bisection Bandwidth of Product Networks with Application to Data Centers. Masters thesis, Universidad Carlos III de Madrid, Spain.

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Abstract

The bisection width of interconnection networks has always been important in parallel computing, since it bounds the amount of information that can be moved from one side of a network to another, i.e., the bisection bandwidthFinding the exact value of the bisection width has proven to be challenging for some network families. For instance, the problem of finding the exact bisection width of the multidimensional torus was posed by Leighton [1, Problem 1:281] and has remained open for almost 20 years. In this paper we provide the exact value of the bisection width of the torus, as well as of several d-dimensional classical parallel topologies that can be obtained by the application of the Cartesian product of graphs. To do so, we first provide two general results that allow to obtain upper and lower bounds on the bisection width of a product graph as a function of some properties of its factor graphs. We also apply these results to obtain bounds for the bisection bandwidth of a d-dimensional BCube network, a recently proposed topology for data centers.

Item Type: Theses (Masters)
Uncontrolled Keywords: Torus, bisection width, product graphs, complete binary trees, extended trees, mesh-connected trees
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > T Technology (General)
T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions: Faculty of Engineering, Science and Mathematics > School of Electronics and Computer Science
Depositing User: Rebeca De Miguel
Date Deposited: 20 May 2012 15:33
Last Modified: 07 Apr 2014 13:42
URI: http://eprints.networks.imdea.org/id/eprint/274

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