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Bilinear matrix forms for the area of polygons

✍ Scribed by Alberto Paoluzzi

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
513 KB
Volume
28
Category
Article
ISSN
0010-4485

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πŸ“œ SIMILAR VOLUMES

Closed Forms for the Number of Polygon D
Closed Forms for the Number of Polygon Dissections
✍ Petr LisonΔ›k πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 178 KB

We consider unlabelled dissections of the regular s-gon into \(r\) cells by means of nonintersecting diagonals. We prove that if the parameter \(r\) is fixed then the number of dissections is quasi-polymonial in \(s\).

The Determinant Formula for a Matroid Bi
The Determinant Formula for a Matroid Bilinear Form
✍ T. Brylawski; A. Varchenko πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 416 KB

We introduce a symmetric bilinear form of a weighted matroid and prove that the determinant of the matrix of this form is a product of linear functions of weights. This formula is an analog of the formula for the determinant of the Shapovalov form in representation theory.