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Constructions of Totally Non-Negative Pfaffian

Published 11 Jan 2026 in nlin.SI | (2601.06892v1)

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.

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