NDLI: Cycle embedding in faulty enhanced hypercube networks

Content Provider	IEEE Xplore Digital Library
Author	Yihan Fan Hongmei Liu Qing Liu
Copyright Year	2012
Description	Author affiliation: College of Science, Three Gorges University, Yichang 443002, Hubei, China (Yihan Fan; Hongmei Liu; Qing Liu)
Abstract	In recent three decades, several variants of the hypercube networks have been proposed to enhance the performance and reliability. The so called enhanced hypercube networks (denoted by Qn,k) is one of the most versatile and efficient interconnection networks for the parallel computation, aiming to fully realize the potential of those networks where reliability, speed and tolerance are critical. In this paper, the properties related to cycles embedding in faulty Qn,k have been investigated. This study demonstrates that when the number of fault nodes in Qn,k is only one, if n and k have the same parity, then the cycles of every even length from 4 to $2^{n}$ − 2 can be embedded in the faulty Qn,k; if n and k have different parity, then the cycles of every even length from 4 to $2^{n}$ − 2 and every odd length from n − k + 2 to $2^{n}$ − 1 can be embedded in the faulty Qn,k. When the number of fault links is no more than n − 1, in Qn,k, if n and k have the same parity, then every non-fault link of Qn,k lies on a cycle of every even length from 4 to $2^{n}.$ These results show that with cycle embedding, the enhanced hypercube networks have very good fault tolerance and reliability as a topological structure of multi-computer networks.
Starting Page	1358
Ending Page	1361
File Size	146943
Page Count	4
File Format	PDF
ISBN	9781467300254
e-ISBN	9781467300247
DOI	10.1109/FSKD.2012.6233919
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-05-29
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Computers Fault tolerance Program processors Fault tolerant systems Hypercubes Routing Enhanced hypercube networks Cycle embedding
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
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9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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