Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4646896 | Discrete Mathematics | 2014 | 6 Pages |
Abstract
We evaluate the hyperpfaffian of a skew-symmetric k-ary polynomial f of degree k/2â
(nâ1). The result is a product of the Vandermonde product and a certain expression involving the coefficients of the polynomial f. The proof utilizes a sign reversing involution on a set of weighted, oriented partitions. When restricting to the classical case when k=2 and the polynomial is (xjâxi)nâ1, we obtain an identity due to Torelli.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Richard Ehrenborg, N. Bradley Fox,