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 | English |
|---|---|
| Article number | P2.22 |
| Journal | Electronic Journal of Combinatorics |
| Volume | 22 |
| Issue number | 2 |
| DOIs | |
| State | Published - 14 May 2015 |
Bibliographical note
Publisher Copyright:© 2015, Australian National University. All rights reserved.
Keywords
- 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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