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|Title: ||Signed excedance enumeration via determinants|
|Authors: ||SIVASUBRAMANIAN, S|
|Issue Date: ||2011|
|Publisher: ||ACADEMIC PRESS INC ELSEVIER SCIENCE|
|Citation: ||ADVANCES IN APPLIED MATHEMATICS,47(4)783-794|
|Abstract: ||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. (C) 2011 Elsevier Inc. All rights reserved.|
|Appears in Collections:||Article|
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