partitioning problem;
approximation algorithm;
the regularity lemma;
D O I:
10.1016/S0166-218X(00)00323-1
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We study the general partitioning problem and the discrepancy problem in dense hypergraphs. Using the regularity lemma (Szemeredi, Problemes Combinatories et Theorie des Graphes (1978), pp. 399-402) and its algorithmic version proved in Czygrinow and Rodl (SIAM J. Comput., to appear), we give polynomial-time approximation schemes for the general partitioning problem and for the discrepancy problem. (C) 2002 Elsevier Science B.V. All rights reserved.