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A Note on the Structure of Roller Coaster Permutations

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  • William Adamczak

Abstract

In this paper we consider the structure of a special class of permutations known as roller coaster permutations, first introduced by Ahmed \& Snevily (2013). A roller coaster permutation is described as, a permutation that maximizes the total switches from ascending to descending, or visa versa, for the permutation as well as all of its subpermutations, simultaneously. This paper looks at the structure of these permutations, particularly the alternating structure, what the entires of these permutations can look like, we then introduce a notion of a condition stronger than alternating that we shall refer to as recursively alternating.

Suggested Citation

  • William Adamczak, 2017. "A Note on the Structure of Roller Coaster Permutations," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 9(3), pages 75-79, June.
    • Handle: RePEc:ibn:jmrjnl:v:9:y:2017:i:3:p:75-79
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    Keywords

    permutations; combinatorics;

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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