Academic Journal
Mixed Statistics on 01-Fillings of Moon Polyominoes
| العنوان: | Mixed Statistics on 01-Fillings of Moon Polyominoes |
|---|---|
| المؤلفون: | William Y. C. Chen, Andrew Y. Z. Wang, Catherine H. Yan, Alina F. Y. Zhao |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://www.dmtcs.org/pdfpapers/dmAM0142.pdf. |
| سنة النشر: | 2010 |
| المجموعة: | CiteSeerX |
| الوصف: | We establish a stronger symmetry between the numbers of northeast and southeast chains in the context of 01-fillings of moon polyominoes. Let M be a moon polyomino. Consider all the 01-fillings of M in which every row has at most one 1. We introduce four mixed statistics with respect to a bipartition of rows or columns of M. More precisely, let S be a subset of rows of M. For any filling M, the top-mixed (resp. bottom-mixed) statistic α(S; M) (resp. β(S; M)) is the sum of the number of northeast chains whose top (resp. bottom) cell is in S, together with the number of southeast chains whose top (resp. bottom) cell is in the complement of S. Similarly, we define the left-mixed and right-mixed statistics γ(T; M) and δ(T; M), where T is a subset of the columns. Let λ(A; M) |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.377.386; http://www.dmtcs.org/pdfpapers/dmAM0142.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.377.386 http://www.dmtcs.org/pdfpapers/dmAM0142.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.FCA8BDEE |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |