Symmetry-guided design of topologies for supercomputer networks-Reference-Cited by-同舟云学术

Symmetry-guided design of topologies for supercomputer networks

Published:2018-07 Issue:07 Volume:29 Page:1850048
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

Sabino Alan U.¹²³⁴,Vasconcelos Miguel F. S.¹²³⁴,Deng Yuefan⁵⁶⁷,Ramos Alexandre F.¹²³⁴⁵

Affiliation:

1. Escola de Artes, Ciências e Humanidades, Universidade de São Paulo. Av. Arlindo Béttio, 1000. São Paulo, SP, 03.828-000, Brazil

2. Núcleo de Estudos Interdisciplinares em Sistemas Complexos, Universidade de São Paulo. Av. Arlindo Béttio, 1000. São Paulo, SP, 03.828-000, Brazil

3. Dept. de Radiologia e Oncologia – Fac. de Medicina, Universidade de São Paulo, Travessa da Rua Dr. Ovídio, Pires de Campos, 75. São Paulo, 05403-010, Brazil

4. Centro do Pesquisa Translacional em Oncologia, Instituto do Câncer do Estado de São Paulo, Av. Dr. Arnaldo, 251, São Paulo, SP, 01246-000, Brazil

5. Shandong Computer Science Center (National Supercomputer Centre in Jinan), Jinan, Shandong 250101, P. R. China

6. Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, NY 11794, USA

7. Department of Data and Computer Science, Sun Yat-Sen University, Guangdong 510006, P. R. China

Abstract

A family of graphs optimized as the topologies for interconnection networks is proposed. The needs of such topologies with minimal diameters and minimal mean path lengths are met by special constructions of the weight vectors in a representation of the symplectic algebra. Such design of topologies can conveniently reconstruct the mesh and hypercube, widely used as network topologies, as well as many other classes of graphs potentially suitable for network topologies.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183118500481

Reference8 articles.

1. The tops in flops

2. Eigenanalysis-based task mapping on parallel computers with cellular networks

3. SYMMETRY INSIGHTS FOR DESIGN OF SUPERCOMPUTER NETWORK TOPOLOGIES: ROOTS AND WEIGHTS LATTICES

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