Date Thesis Awarded
5-2016
Access Type
Honors Thesis -- Access Restricted On-Campus Only
Degree Name
Bachelors of Science (BS)
Department
Mathematics
Advisor
Charles Johnson
Committee Members
Gexin Yu
Andreas Stathopoulos
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.
Recommended Citation
Hu, Xiaonan, "Row and Column Distributions of Letter Matrices" (2016). Undergraduate Honors Theses. William & Mary. Paper 906.
https://scholarworks.wm.edu/honorstheses/906
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