Technical Report 307-1991

Title
Between Min Cut and Graph Bisection
Authors
Dorothea Wagner and Frank Wagner
Publication
Lecture Notes in Computer Science 711, Proc. of 18th Symposium on Mathematical Foundations of Computer Science (MFCS'93), ed. A. M. Borzyszkowski, S. Sokolowski, 1993, pp. 744-750
Source
Download as [ps.gz]
Classification
not available
Keywords
not available
Abstract
We investigate a class of graph partitioning problems whose two extreme representatives are the well-known Min Cut and Graph Bisection problems. The former is known to be efficiently solvable by flow techniques, the latter to be cal NP-complete. The results presented in this paper are: A monotony result of the type "The more balanced the partition we look for has to be, the harder the problem{"}, and a complexity result clarifying the status of a large part of intermediate problems in the class. Thus we show the existence and partly localize an "efficiency border{"} between the two extremes.