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Recursion over partitions

Research Articles
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Abstract

The paper demonstrates how to apply a recursion on the fundamental concept of number. We propose a generalization of the partitions of a positive integer n, by defining new combinatorial objects, namely sub-partitions. A recursive formula is suggested, designated to solve the associated enumeration problem. It is highlighted that sub-partitions provide a good language to study rooted phylogenetic trees.

Key words

partition sub-partition phylogenetic tree 

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Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Department of mathematicsOhalo CollegeKatzrinIsrael
  2. 2.International Center forMathematical Modeling in Physics, Engineering, Economics, and Cognitive Science, School of Computer SciencePhysics and Mathematics Linnaeus UniversityVaxjoSweden

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