3 papers
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…
math.CO2010
On the t-Term Rank of a Matrix
Richard A. Brualdi, Kathleen P. Kiernan, Seth A. Meyer +1
For t a positive integer, the t-term rank of a (0,1)-matrix A is defined to be the largest number of 1s in A with at most one 1 in each column and at most t 1s in each row. Thus th…
math.CO2010
Zero Forcing Sets and Bipartite Circulants
Seth A. Meyer
In this paper we introduce a class of regular bipartite graphs whose biadjacency matrices are circulant matrices and we describe some of their properties. Notably, we compute upper…