Authors: Cvetković, Dragoš
Davidović, Tatjana 
Jovanović, Irena
Title: Some new models for multiprocessor interconnection networks
Journal: Yugoslav Journal of Operations Research
Volume: 26
Issue: 4
First page: 423
Last page: 439
Issue Date: 1-Jan-2016
Rank: M51
ISSN: 0354-0243
DOI: 10.2298/YJOR160315020C
Abstract: 
A multiprocessor system can be modeled by a graph G. The vertices of G correspond to processors while edges represent links between processors. To find suitable models for multiprocessor interconnection networks (briefly MINs), one can apply tools and techniques of spectral graph theory. In this paper, we extend some of the existing results and present several graphs which could serve as models for efficient MINs based on the small values of the previously introduced graph tightness. These examples of possible MINs arise as a result of some well-known and widely used graph operations. We also examine the suitability of strongly regular graphs (briefly SRGs) to model MINs, and prove the uniqueness of some of them.
Keywords: 68M10 | Graph operation. MSC: 05C50 | Interconnection networks | Spectra of graphs | Tightness
Project: Graph theory and mathematical programming with applications in chemistry and computer science 
Methods of Functional and Harmonic Analysis and PDE with Singularities 
Optoelectronics nanodimension systems ‚Äì the rout towards applications 
Serbian Ministry for Education, Science and Technological Development, Grant no. F-159

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