Some combinatorial arrays related to the Lotka-Volterra system

David Callan; Shi Mei Ma; Toufik Mansour

doi:https://doi.org/10.37236/4413

Some combinatorial arrays related to the Lotka-Volterra system

David Callan, Shi Mei Ma, Toufik Mansour

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Article number	P2.22
Journal	Electronic Journal of Combinatorics
Volume	22
Issue number	2
DOIs	https://doi.org/10.37236/4413
State	Published - 14 May 2015

Keywords

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

All Science Journal Classification (ASJC) codes

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

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https://doi.org/10.37236/4413

Cite this

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Some combinatorial arrays related to the Lotka-Volterra system

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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