Constructions of Totally Non-Negative Pfaffian
Abstract
The totally non-negative pfaffian (TNNP) is define for a skew-symmetric matrix such that all the sub-pfaffians are non-negative. It appears in the pfaffian structure of $τ$-function for the non-singular web solitons of the BKP equation . One constructs TNNP using the Perfect matching, chord diagram and the Dyck paths enumeration.Its tridiagonal form is also investigated.
Fields of Study & Subjects
Advanced Combinatorial Mathematics
Matrix Theory and Algorithms
Nonlinear Waves and Solitons
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 11 January 2026
- Document type
- Preprint