Abstract| In this paper, a Fiduccia-Mattheyses (FM) algorithm incorporating a novel initial partition generating method is proposed. The proposed algorithm applies to both bipartitioning and multi-way partitioning problems with or without replication. The initial partition generating method is based on a gradient decent algorithm. On partitioning without replication, our algorithm achieves an average of 17% improvement o v er the analytical method, PARABOLI, on bipartitioning, 10% better than Primal Dual method on 4-way partitioning and 51% better than net-based method. On partitioning allowing replication, our algorithm achieves an average of 23% improvement o v er the directed Fiduccia-Mattheyses algorithm on Replication Graph (FMRG) method on bipartitioning.
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