Parity Theorems for Statistics on Lattice Paths and Laguerre Configurations

نویسندگان

  • Mark A. Shattuck
  • Carl G. Wagner
چکیده

We examine the parity of some statistics on lattice paths and Laguerre configurations, giving both algebraic and combinatorial treatments. For the former, we evaluate q-generating functions at q = −1; for the latter, we define appropriate parity-changing involutions on the associated structures. In addition, we furnish combinatorial proofs for a couple of related recurrences.

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تاریخ انتشار 2004