A CLASS OF BOUNDED APPROXIMATION ALGORITHMS FOR GRAPH PARTITIONING

被引:57
作者
FEO, TA [1 ]
KHELLAF, M [1 ]
机构
[1] UNIV CALIF BERKELEY, DEPT IND ENGN & OPERAT RES, BERKELEY, CA 94720 USA
关键词
D O I
10.1002/net.3230200205
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
This paper considers the problem of partitioning the nodes of a weighted graph into k disjoint subsets of bounded size, such that the sum of the weights of the edges whose end vertices belong to the same subset is maximized. A class of approximation algorithms based on matching is presented. These algorithms are shown to yield practical worst‐case bounds when k is large. Extensive empirical experimentation indicates that the methods produce consistently good solutions to an important VLSI design problem in a fraction of the time required by competing methods. Copyright © 1990 Wiley Periodicals, Inc., A Wiley Company
引用
收藏
页码:181 / 195
页数:15
相关论文
共 23 条
[1]  
AVIS D, 1978, CONGRESSUS NUM, V21, P65
[2]   AN ALGORITHM FOR PARTITIONING THE NODES OF A GRAPH [J].
BARNES, ER .
SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1982, 3 (04) :541-550
[3]  
BURKAD RE, 1980, LECTURE NOTES EC MAT
[4]  
Chang T. C., 1985, INTRO AUTOMATED PROC
[5]  
Chen C. C., 1986, THESIS U CALIFORNIA
[6]  
DAI W, 1987, IEEE T COMPUT AIDED
[7]  
FEO TA, 1988, UNPUB COMPLEXITY GRA
[8]  
FORD LR, 1954, RM1400 RAND RES MEM
[9]  
Garey M. R., 1976, Theoretical Computer Science, V1, P237, DOI 10.1016/0304-3975(76)90059-1
[10]  
Garey M.R., 1979, COMPUTERS INTRACTABI, V174