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Row and Column Distributions of Letter Matrices

Hu, Xiaonan
Abstract
A letter matrix is an n-by-n matrix whose entries are n symbols, each appearing n times. The row (column) distribution of a letter matrix is an n-by-n nonnegative integer matrix that tells how many of each letter are in each row (column). A row distribution R and a column distribution C are compatible if there exits a letter matrix A whose row distribution is R and whose column distribution is C. We show that the matrix J of all ones is compatible with any C, and we also consider the the problem of when R and C pairs are compatible in terms of their values and patterns inside the distribution matrices.
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2016-05-01
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Undergraduate Honors Theses
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Johnson, Charles
Yu, Gexin
Stathopoulos, Andreas
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Mathematics
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https://scholarworks.wm.edu/handle/internal/12665
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