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20032005
most citedEnumerating Segmented Patterns in Compositions and Encoding by Restricted Permutations

5 citations

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math.CO2005

Classifying Descents According to Parity

Sergey Kitaev, Jeffrey Remmel

In this paper we refine the well-known permutation statistic "descent" by fixing parity of (exactly) one of the descent's numbers. We provide explicit formulas for the distribution…

math.CO2005★ 5 cited

Enumerating Segmented Patterns in Compositions and Encoding by Restricted Permutations

Sergey Kitaev, Tyrrell B. McAllister, T. Kyle Petersen

A composition of a nonnegative integer (n) is a sequence of positive integers whose sum is (n). A composition is palindromic if it is unchanged when its terms are read in reverse o…