Some combinatorial arrays related to the Lotka-Volterra system

David Callan, Shi Mei Ma, Toufik Mansour

Research output: Contribution to journalArticlepeer-review


The purpose of this paper is to investigate several context-free grammars suggested by the Lotka-Volterra system. Some combinatorial arrays, involving the Stirling numbers of the second kind and Eulerian numbers, are generated by these context-free grammars. In particular, we present grammatical characterization of some statistics on cyclically ordered partitions.

Original languageEnglish
Article numberP2.22
JournalElectronic Journal of Combinatorics
Issue number2
StatePublished - 14 May 2015

Bibliographical note

Publisher Copyright:
© 2015, Australian National University. All rights reserved.


  • Context-free grammars
  • Cyclically ordered partitions
  • Eulerian numbers
  • Lotka-Volterra system

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics


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