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VLSI Design
Volume 3 (1995), Issue 1, Pages 93-98

New Methods for the Construction of Test Cases for Partitioning Heuristics

Computer Science Department, University of Missouri-Columbia, Mathematical Sciences Building, Columbia 65211, MO , USA

Received 9 April 1993; Accepted 30 July 1993

Copyright © 1995 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Partitioning is an important problem in the design automation of integrated circuits. This problem in many of its formulation is NP-Hard, and several heuristic methods have been proposed for its solution. To evaluate the effectiveness of the various partitioning heuristics, it is desirable to have test cases with known optimal solutions that are as “random looking” as possible. In this paper, we describe several methods for the construction of such test cases. All our methods except one use the theory of network flow. The remaining method uses a relationship between a partitioning problem and the geometric clustering problem. The latter problem can be solved in polynomial time in any fixed dimension.