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Bijective Counting of Humps and Peaks in $(K,a)$-paths by Yan, Sherry H. F. is a scholarly article available to read on EtoBox.

What is Bijective Counting of Humps and Peaks in $(K,a)$-paths about?

Recently, Mansour and Shattuck related the total number of humps in all of the $(k, a)$-paths of order $n$ to the number of super $(k, a)$-paths, which generalized previous results concerning the cases when $k = 1$ and $a = 1$ or $a = \infty$. They also derived a relation on the total number of peaks in all of the $(k, a)$-paths of order $n$ and the number of super $(k, a)$-paths, and asked for bijective proofs. In this paper, we will give bijective proofs of these two relations.

Author

Yan, Sherry H. F.

Published

2013

Language

EN