A New Statistic on Linear and Circular $r$-Mino Arrangements

  • Mark A. Shattuck
  • Carl G. Wagner
DOI: https://doi.org/10.37236/1068

Abstract

We introduce a new statistic on linear and circular $r$-mino arrangements which leads to interesting polynomial generalizations of the $r$-Fibonacci and $r$-Lucas sequences. By studying special values of these polynomials, we derive periodicity and parity theorems for this statistic.

Published
2006-04-28
How to Cite
Shattuck, M. A., & Wagner, C. G. (2006). A New Statistic on Linear and Circular $r$-Mino Arrangements. The Electronic Journal of Combinatorics, 13(1), R42. https://doi.org/10.37236/1068
Issue
Volume 13 (2006)
Article Number
R42