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math.CO2011★ 1 cited
On the extremal energy of integral weighted trees
Richard A. Brualdi, Jia-Yu Shao, Shi-Cai Gong +2
Let and denote the classes of weighted trees and forests, respectively, of order with the positive integral weights and the fixed total…
math.CO2011
Patterns of Alternating Sign Matrices
Richard A. Brualdi, Kathleen P. Kiernan, Seth A. Meyer +1
We initiate a study of the zero-nonzero patterns of n by n alternating sign matrices. We characterize the row (column) sum vectors of these patterns and determine their minimum ter…