NDLI: An Efficient Parallel Algorithm that Finds Independent Sets of Guaranteed Size

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Goldberg, Mark Spencer, Thomas
Copyright Year	1993
Abstract	Every graph with n vertices and m edges has an independent set containing at least $n^2 / (2m + n)$ vertices. This paper presents a parallel algorithm that finds an independent set of this size and runs in $O( \log^3 n )$ time on a CROW PRAM with $O( ( m + n)\alpha ( m,n )/ \log^2 n)$ processors, where $\alpha ( n,m )$ is a functional inverse of Ackermans function. The ideas used in the design of this algorithm are also used to design an algorithm that, with the same resources, finds a vertex coloring satisfying certain minimality conditions.
Starting Page	443
Ending Page	459
Page Count	17
File Format	PDF
ISSN	08954801
DOI	10.1137/0406036
e-ISSN	10957146
Journal	SIAM Journal on Discrete Mathematics (SJDMEC)
Issue Number	3
Volume Number	6
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	1993-08-01
Access Restriction	Subscribed
Subject Keyword	parallel computation NC Turn theorem deterministic Graph theory Combinatorics independent set graph
Content Type	Text
Resource Type	Article
Subject	Mathematics

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