DOAJ
Open Access
2008
On Plücker coordinates of a perfectly oriented planar network
Kelli Talaska
Abstrak
Let $G$ be a perfectly oriented planar graph. Postnikov's boundary measurement construction provides a rational map from the set of positive weight functions on the edges of $G$ onto the appropriate totally nonnegative Grassmann cell. We establish an explicit combinatorial formula for Postnikov's map by expressing each Plücker coordinate of the image as a ratio of two polynomials in the edge weights, with positive integer coefficients. These polynomials are weight generating functions for certain subsets of edges in $G$.
Topik & Kata Kunci
Penulis (1)
K
Kelli Talaska
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2008
- Sumber Database
- DOAJ
- DOI
- 10.46298/dmtcs.3616
- Akses
- Open Access ✓