کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6419765 1340312 2011 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Signed excedance enumeration via determinants
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Signed excedance enumeration via determinants
چکیده انگلیسی

We show a simple connection between determinants and signed-excedance enumeration of permutations. This gives us an alternate proof of a result of Mantaci about enumerating signed excedances in permutations. The connection also gives an alternate proof of a result of Mantaci and Rakotondrajao about enumerating signed excedances over derangements.Motivated by this connection, we define several excedance-like statistics on permutations and show interesting values for their signed enumerator. In some cases, we also obtain the signed excedance-like statistic enumerator with respect to positive integral weights.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Applied Mathematics - Volume 47, Issue 4, October 2011, Pages 783-794
نویسندگان
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