PARALLEL (DELTA+1)-COLORING OF CONSTANT-DEGREE GRAPHS

被引:25
作者
GOLDBERG, AV
PLOTKIN, SA
机构
[1] MIT, Cambridge, MA, USA, MIT, Cambridge, MA, USA
关键词
COMPUTER PROGRAMMING - Algorithms - COMPUTER SYSTEMS; DIGITAL - Parallel Processing;
D O I
10.1016/0020-0190(87)90169-4
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper presents parallel algorithms for coloring a constant-degree graph with a maximum degree of DELTA using DELTA plus 1 colors and for finding a maximal independent set in a constant-degree graph. Given a graph with n vertices, the algorithms run in O(lg multiplied by (times) n) time on a EREW PRAM with O(n) processors. The algorithms use only local communication and achieve the same complexity bounds when implemented in a distributed model of parallel computation.
引用
收藏
页码:241 / 245
页数:5
相关论文
共 8 条
  • [1] COMPLEXITY OF NETWORK SYNCHRONIZATION
    AWERBUCH, B
    [J]. JOURNAL OF THE ACM, 1985, 32 (04) : 804 - 823
  • [2] AWERBUCH B, 1986, COMMUNICATION
  • [3] COLE R, 1986, 18TH P ANN ACM S THE, P206
  • [4] A DISTRIBUTED ALGORITHM FOR MINIMUM-WEIGHT SPANNING-TREES
    GALLAGER, RG
    HUMBLET, PA
    SPIRA, PM
    [J]. ACM TRANSACTIONS ON PROGRAMMING LANGUAGES AND SYSTEMS, 1983, 5 (01): : 66 - 77
  • [5] GOLDBERG AV, 1987, MITLCSTM320 TECH REP
  • [6] Karloff H. J., 1985, THESIS U CALIFORNIA
  • [7] KARP RM, 1984, 16TH P ANN ACM S THE, P266
  • [8] LUBY M, 1985, 17TH P ANN ACM S THE, P1