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  • Enumerating Consecutive and Nested Partitions for Graphs
  • ABSTRACT We extend the study of consecutive and nested partitions on a set of integers to the vertexset of a graph. A subset of vertices is considered consecutive if the subgraph induced by the subset...
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  • BASIS PARTITIONS AND ROGERS-RAMANUJAN PARTITIONS
  • Every partition has, for some d, a Durfee square of side d. Every partition p with Durfee square of side d gives rise to a ?successive rank vector ? r =(r1, ?? ?,rd). Conversely, given a vector r =(r1...
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  • Net partitions yield better module partitions
  • Abstract The authors demonstrate that the dual intersection graph of the netlist strongly captures circuit properties relevant to partitioning. The main contribution of the analysis highlights advant...
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  • Partitions of 2^n 1994
  • There are many ways that 2 n can be expressed as the sum of lower powers of 2, that is P n k=0 a k \Delta 2 k = 2 n , where a k is a non-negative integer. Each collection of coefficients ! \Delta \Del...
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