Geodesic
Some combinatorial arrays related to the Lotka-Volterra system
David Callan1 ; Shi-Mei Ma2 ; Toufik Mansour3
1University of Wisconsin-Madison
2Northeastern University at Qinhuangdao
3University of Haifa
The electronic journal of combinatorics, Tome 22 (2015) no. 2
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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.
DOI : 10.37236/4413
Classification : 05A05, 05A18
Mots-clés : Lotka-Volterra system, context-free grammars, Eulerian numbers, cyclically ordered partitions

David Callan  1   ; Shi-Mei Ma  2   ; Toufik Mansour  3

1 University of Wisconsin-Madison
2 Northeastern University at Qinhuangdao
3 University of Haifa 
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     title = {Some combinatorial arrays related to the {Lotka-Volterra} system},
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David Callan; Shi-Mei Ma; Toufik Mansour. Some combinatorial arrays related to the Lotka-Volterra system. The electronic journal of combinatorics, Tome 22 (2015) no. 2. doi: 10.37236/4413

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