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Proceedings of the 28th Conference on ACM/IEEE Design Automation Conference - DAC '91 1991
DOI: 10.1145/127601.127706
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A general purpose multiple way partitioning algorithm

Abstract: This paper presents a discussion of methods to solve multiple way partitioning problems under three different objective functions. A multicommodity flow fzeatmertt is proposed for partitioning without a size wmstrain~and an iterative improvement algorithm is proposed for partitioning with a size comt.rstint. This algoriti incorporates a top-down clustering technique to deal with the local minima problems in common heuristics, a novel multi-pin net model to capture the contributory moves, and a Primal-Dual iter… Show more

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Cited by 59 publications
(23 citation statements)
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“…The most notable of them are the generalization of the FM algorithm for k-way partitioning [4,7], the spectral multi-way ratio-cut [6], the primal-dual algorithm of [5], the geometric embedding [9], the dual-net method [12], and the K-PMaLR algorithm [19]. A key problem faced by some of these algorithms is that the k-way FM re®nement algorithm easily gets trapped in local minima.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…The most notable of them are the generalization of the FM algorithm for k-way partitioning [4,7], the spectral multi-way ratio-cut [6], the primal-dual algorithm of [5], the geometric embedding [9], the dual-net method [12], and the K-PMaLR algorithm [19]. A key problem faced by some of these algorithms is that the k-way FM re®nement algorithm easily gets trapped in local minima.…”
Section: Introductionmentioning
confidence: 99%
“…2 We were not able to compare results for 32-way partitioning, because they are not reported in [19]. FIGURE 5 The quality of the partitionings in terms of the cuts produced by hMETIS-Kway relative to those produced by K-PMaLR for an 8-and 16-way partitioning. Bars below the 1.0 line indicate that hMETIS-Kway performs better than K-PMaLR.…”
mentioning
confidence: 99%
“…The multi-way partitioning algorithms include the recursive bipartitioning by Kernighan and Lin [KeLi70], a generalization of the FM-algorithm with lookahead by Sanchis [Sa89], the primal-dual algorithm [YeCL91], and a generalization of the graph spectral-based partitioning method to multi-way ratio-cut by Chan, Schlag, and Zien [ChSZ93].…”
Section: Introductionmentioning
confidence: 99%
“…Hierarchical information in the netlist, if present, is used to build the initial tree, which is then refined through the use of ratiocut partitioning [4]. Applying the approach of Yeh and Cheng [5], the tree guides the recursive partitioning of the circuit onto the Teramac network using min-cut partitioning algorithms [6,7]. The majority of compiler processing time is spent in this pass.…”
Section: Global Partitioningmentioning
confidence: 99%