Some new models for multiprocessor interconnection networks
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 e cient 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:
Spectra of graphs / Tightness / Interconnection networks / Graph operationSource:
Yugoslav Journal of Operations Research, 2016, 26, 4, 423-439Funding / projects:
- Optoelectronics nanodimension systems - the rout towards applications (RS-45003)
- Methods of Functional and Harmonic Analysis and PDE with Singularities (RS-174024)
- Graph theory and mathematical programming with applications in chemistry and computer science (RS-174033)
DOI: 10.2298/YJOR160315020C
ISSN: 2334-6043; 0354-0243
Scopus: 2-s2.0-85009726354
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Institution/Community
Математички институт САНУ / Mathematical Institute of SASATY - JOUR AU - Cvetković, Dragoš AU - Davidović, Tatjana AU - Jovanović, Irena M. PY - 2016 UR - https://dais.sanu.ac.rs/123456789/947 AB - 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 e cient 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. T2 - Yugoslav Journal of Operations Research T1 - Some new models for multiprocessor interconnection networks SP - 423 EP - 439 VL - 26 IS - 4 DO - 10.2298/YJOR160315020C UR - https://hdl.handle.net/21.15107/rcub_dais_947 ER -
@article{ author = "Cvetković, Dragoš and Davidović, Tatjana and Jovanović, Irena M.", year = "2016", 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 e cient 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.", journal = "Yugoslav Journal of Operations Research", title = "Some new models for multiprocessor interconnection networks", pages = "423-439", volume = "26", number = "4", doi = "10.2298/YJOR160315020C", url = "https://hdl.handle.net/21.15107/rcub_dais_947" }
Cvetković, D., Davidović, T.,& Jovanović, I. M.. (2016). Some new models for multiprocessor interconnection networks. in Yugoslav Journal of Operations Research, 26(4), 423-439. https://doi.org/10.2298/YJOR160315020C https://hdl.handle.net/21.15107/rcub_dais_947
Cvetković D, Davidović T, Jovanović IM. Some new models for multiprocessor interconnection networks. in Yugoslav Journal of Operations Research. 2016;26(4):423-439. doi:10.2298/YJOR160315020C https://hdl.handle.net/21.15107/rcub_dais_947 .
Cvetković, Dragoš, Davidović, Tatjana, Jovanović, Irena M., "Some new models for multiprocessor interconnection networks" in Yugoslav Journal of Operations Research, 26, no. 4 (2016):423-439, https://doi.org/10.2298/YJOR160315020C ., https://hdl.handle.net/21.15107/rcub_dais_947 .