Abstract
An alternating-sign matrix (ASM) is a square matrix with entries from {-1, 0,1}, row and column sums of 1, and in which the nonzero entries in each row and column alternate in sign. ASMs have many non-trivial parameters and symmetries that reveal their significant combinatorial structure. In this note, we will prove an identity that relates one parameter and one symmetry.
Faculty Sponsor
Eric S. Egge
Recommended Citation
Williams, Nathan
(2008)
"An Alternating Sum of Alternating Sign Matrices,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 9:
Iss.
2, Article 13.
Available at:
https://scholar.rose-hulman.edu/rhumj/vol9/iss2/13