Enumeration of permutations by number of alternating descents

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• 作者：Shi-Mei Ma^a ; ^{shimeimapapers@163.com" class="auth_mail" title="E-mail the corresponding author} ; Yeong-Nan Yeh^b ; ^{mayeh@math.sinica.edu.tw" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Alternating Eulerian polynomials ; Alternating descents ; Derivative polynomials ; Zeros
• 刊名：Discrete Mathematics
• 出版年：2016
• 出版时间：6 April 2016
• 年：2016
• 卷：339
• 期：4
• 页码：1362-1367
• 全文大小：353 K

文摘

In this paper we present an explicit formula for the number of permutations with a given number of alternating descents. As an application, we obtain an interlacing property for the zeros of alternating Eulerian polynomials.