Some Combinatorial Arrays Related to the Lotka-Volterra System

  • David Callan
  • Shi-Mei Ma
  • Toufik Mansour
DOI: https://doi.org/10.37236/4413
Keywords: Lotka-Volterra system, Context-free grammars, Eulerian numbers, Cyclically ordered partitions

Abstract

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.
Published
2015-05-14
Issue
Volume 22, Issue 2 (2015)
Article Number
P2.22