ICAR Research Data Repository for Knowledge Management
Signed excedance enumeration via determinants
DSpace at IIT Bombay
View Archive Info| Field | Value | |
| Title |
Signed excedance enumeration via determinants
|
|
| Creator |
SIVASUBRAMANIAN, S
|
|
| Subject |
EULERIAN-NUMBERS
Determinant Signed-excedance Enumeration |
|
| Description |
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.
|
|
| Publisher |
ACADEMIC PRESS INC ELSEVIER SCIENCE
|
|
| Date |
2012-06-26T06:06:35Z
2012-06-26T06:06:35Z 2011 |
|
| Type |
Article
|
|
| Identifier |
ADVANCES IN APPLIED MATHEMATICS,47(4)783-794
0196-8858 http://dx.doi.org/10.1016/j.aam.2011.02.003 http://dspace.library.iitb.ac.in/jspui/handle/100/14004 |
|
| Language |
English
|
|