Wide diameters of butterfly networks

Sheng Chyang Liaw; Gerard J. Chang

doi:10.11650/twjm/1500407056

Wide diameters of butterfly networks

Sheng Chyang Liaw
, Gerard J. Chang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

Reliability and efficiency are important criteria in the design of interconnection networks. Recently, the w-wide diameter d_w(G), the (w - 1)-fault diameter D_w(G), and the w-Rabin number r_w(G) have been used to measure network reliability and efficiency. In this paper, we study wide diameters for an important class of parallel networks -butterfly networks. The main result of this paper is to determine their wide diameters.

Original language	English
Pages (from-to)	83-88
Number of pages	6
Journal	Taiwanese Journal of Mathematics
Volume	3
Issue number	1
DOIs	https://doi.org/10.11650/twjm/1500407056
State	Published - Mar 1999

Keywords

Banyan network
Butterfly network
Connectivity
Diameter
Level
Wide diameter

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10.11650/twjm/1500407056

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title = "Wide diameters of butterfly networks",

abstract = "Reliability and efficiency are important criteria in the design of interconnection networks. Recently, the w-wide diameter dw(G), the (w - 1)-fault diameter Dw(G), and the w-Rabin number rw(G) have been used to measure network reliability and efficiency. In this paper, we study wide diameters for an important class of parallel networks -butterfly networks. The main result of this paper is to determine their wide diameters.",

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N2 - Reliability and efficiency are important criteria in the design of interconnection networks. Recently, the w-wide diameter dw(G), the (w - 1)-fault diameter Dw(G), and the w-Rabin number rw(G) have been used to measure network reliability and efficiency. In this paper, we study wide diameters for an important class of parallel networks -butterfly networks. The main result of this paper is to determine their wide diameters.

AB - Reliability and efficiency are important criteria in the design of interconnection networks. Recently, the w-wide diameter dw(G), the (w - 1)-fault diameter Dw(G), and the w-Rabin number rw(G) have been used to measure network reliability and efficiency. In this paper, we study wide diameters for an important class of parallel networks -butterfly networks. The main result of this paper is to determine their wide diameters.

KW - Banyan network

KW - Butterfly network

KW - Connectivity

KW - Diameter

KW - Level

KW - Wide diameter

UR - https://www.scopus.com/pages/publications/0039550687

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DO - 10.11650/twjm/1500407056

M3 - 期刊論文

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JO - Taiwanese Journal of Mathematics

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ER -

Wide diameters of butterfly networks

Abstract

Keywords

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