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A work-optimal coarse-grained PRAM algorithm for Lexicographically First Maximal Independent Set

Identifieur interne : 000687 ( PascalFrancis/Corpus ); précédent : 000686; suivant : 000688

A work-optimal coarse-grained PRAM algorithm for Lexicographically First Maximal Independent Set

Auteurs : Jens Gustedt ; Jan Arne Telle

Source :

RBID : Pascal:04-0212566

Descripteurs français

English descriptors

Abstract

The Lexicographically First Maximal Independent Set Problem on graphs with bounded degree 3 is at most n-complete, and thus very likely not parallelizable in a fine-grained setting. On the other hand, we show that in a coarse-grained setting (few processors and a lot of data) the situation is different, by giving a work-optimal algorithm on a shared memory machine for n and p such that p log p E O(log n).

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

pA  
A01 01  1    @0 0302-9743
A05       @2 2841
A08 01  1  ENG  @1 A work-optimal coarse-grained PRAM algorithm for Lexicographically First Maximal Independent Set
A09 01  1  ENG  @1 Theoretical computer science : Bertinoro, 13-15 October 2003
A11 01  1    @1 GUSTEDT (Jens)
A11 02  1    @1 TELLE (Jan Arne)
A12 01  1    @1 BLUNDO (Carlo) @9 ed.
A12 02  1    @1 LANEVE (Cosimo) @9 ed.
A14 01      @1 LORIA & INRIA Lorraine @3 FRA @Z 1 aut.
A14 02      @1 University of Bergen @2 Bergen @3 NOR @Z 2 aut.
A20       @1 125-136
A21       @1 2003
A23 01      @0 ENG
A26 01      @0 3-540-20216-1
A43 01      @1 INIST @2 16343 @5 354000117802520090
A44       @0 0000 @1 © 2004 INIST-CNRS. All rights reserved.
A45       @0 14 ref.
A47 01  1    @0 04-0212566
A60       @1 P @2 C
A61       @0 A
A64 01  1    @0 Lecture notes in computer science
A66 01      @0 DEU
C01 01    ENG  @0 The Lexicographically First Maximal Independent Set Problem on graphs with bounded degree 3 is at most n-complete, and thus very likely not parallelizable in a fine-grained setting. On the other hand, we show that in a coarse-grained setting (few processors and a lot of data) the situation is different, by giving a work-optimal algorithm on a shared memory machine for n and p such that p log p E O(log n).
C02 01  X    @0 001D02A06
C03 01  X  FRE  @0 Informatique théorique @5 01
C03 01  X  ENG  @0 Computer theory @5 01
C03 01  X  SPA  @0 Informática teórica @5 01
C03 02  X  FRE  @0 Algorithme optimal @5 09
C03 02  X  ENG  @0 Optimal algorithm @5 09
C03 02  X  SPA  @0 Algoritmo óptimo @5 09
C03 03  X  FRE  @0 Mémoire partagée @5 10
C03 03  X  ENG  @0 Shared memory @5 10
C03 03  X  SPA  @0 Memoria compartida @5 10
C03 04  X  FRE  @0 Structure gros grain @5 18
C03 04  X  ENG  @0 Coarse grain structure @5 18
C03 04  X  SPA  @0 Estructura grano grueso @5 18
C03 05  X  FRE  @0 Ensemble indépendant @5 19
C03 05  X  ENG  @0 Independent set @5 19
C03 05  X  SPA  @0 Conjunto independiente @5 19
C03 06  X  FRE  @0 Graphe maximal @5 20
C03 06  X  ENG  @0 Maximal graph @5 20
C03 06  X  SPA  @0 Grafo máximo @5 20
C03 07  X  FRE  @0 Degré graphe @5 21
C03 07  X  ENG  @0 Graph degree @5 21
C03 07  X  SPA  @0 Grado grafo @5 21
C03 08  X  FRE  @0 Graphe indépendant @4 CD @5 96
C03 08  X  ENG  @0 Independent graph @4 CD @5 96
N21       @1 138
N82       @1 PSI
pR  
A30 01  1  ENG  @1 ICTCS 2003 : Italian conference on theoretical computer science @2 8 @3 Bertinoro ITA @4 2003-10-13

Format Inist (serveur)

NO : PASCAL 04-0212566 INIST
ET : A work-optimal coarse-grained PRAM algorithm for Lexicographically First Maximal Independent Set
AU : GUSTEDT (Jens); TELLE (Jan Arne); BLUNDO (Carlo); LANEVE (Cosimo)
AF : LORIA & INRIA Lorraine/France (1 aut.); University of Bergen/Bergen/Norvège (2 aut.)
DT : Publication en série; Congrès; Niveau analytique
SO : Lecture notes in computer science; ISSN 0302-9743; Allemagne; Da. 2003; Vol. 2841; Pp. 125-136; Bibl. 14 ref.
LA : Anglais
EA : The Lexicographically First Maximal Independent Set Problem on graphs with bounded degree 3 is at most n-complete, and thus very likely not parallelizable in a fine-grained setting. On the other hand, we show that in a coarse-grained setting (few processors and a lot of data) the situation is different, by giving a work-optimal algorithm on a shared memory machine for n and p such that p log p E O(log n).
CC : 001D02A06
FD : Informatique théorique; Algorithme optimal; Mémoire partagée; Structure gros grain; Ensemble indépendant; Graphe maximal; Degré graphe; Graphe indépendant
ED : Computer theory; Optimal algorithm; Shared memory; Coarse grain structure; Independent set; Maximal graph; Graph degree; Independent graph
SD : Informática teórica; Algoritmo óptimo; Memoria compartida; Estructura grano grueso; Conjunto independiente; Grafo máximo; Grado grafo
LO : INIST-16343.354000117802520090
ID : 04-0212566

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Pascal:04-0212566

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