Application of some graph invariants to the analysis of multiprocessor interconnection networks

Author:

Cvetkovic Dragos1,Davidovic Tatjana1ORCID

Affiliation:

1. Mathematical Institute, Serbian Academy of Science and Arts, Belgrade

Abstract

Let G be a graph with diameter D, maximum vertex degree ?, the largest eigenvalue ?1 and m distinct eigenvalues. The products m? and (D+1) ?1 are called the tightness of G of the first and second type, respectively. In the recent literature it was suggested that graphs with a small tightness of the first type are good models for the multiprocessor interconnection networks. We study these and some other types of tightness and some related graph invariants and demonstrate their usefulness in the analysis of multiprocessor interconnection networks. Tightness values for graphs of some standard interconnection networks are determined. We also present some facts showing that the tightness of the second type is a relevant graph invariant. We prove that the number of connected graphs with a bounded tightness is finite.

Publisher

National Library of Serbia

Subject

Management Science and Operations Research

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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