NDLI: Running algorithms efficiently on faulty hypercubes (extended abstract)

Content Provider	ACM Digital Library
Author	Soroker, Danny Bruck, Jehoshua Cypher, Robert
Abstract	We examine the issue of running algorithms with a constant factor slowdown on a faulty hypercube in a worst case scenario. We present two sets of novel results related to this issue. We first consider edge faults and show how to tolerate faults with a constant factor slow-down in communication and no slowdown in computation. The key to our approach is an efficient method for embedding a fault free Cube Connected Cycles (CCC) graph in the faulty hypercube. Using this embedding we can run ascend-descend algorithms (such as bitonic sort) on the faulty hypercube by implementing them on the embedded CCC. We then consider hypercubes with both edge and node faults. We prove that for any constant c there exists a fault-free subgraph of an n-dimensional hypercube with $n^{c}$ faulty components that can implement a large class of hypercube algorithms with only a constant factor slowdown. To the best of our knowledge, this result is the first in which a hypercube can tolerate more than O(n) faults in the worst case sense.
Starting Page	89
Ending Page	96
Page Count	8
File Format	PDF
ISSN	01635964
DOI	10.1145/121956.121966
Journal	ACM SIGARCH Computer Architecture News (CARN)
Volume Number	19
Issue Number	1
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1981-04-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
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
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Running algorithms efficiently on faulty hypercubes (extended abstract)