3 papers
math.CO2026
A strong nullity parameter for rooted graphs
Aida Abiad, Mary Flagg, H. Tracy Hall +2
The inverse eigenvalue problem of a graph studies the possible spectra of matrices associated with , including as an important subproblem the possible nullities of such a ma…
math.CO2025
Patterns that require distinct singular values
Caleb Cheung, Bryan Shader
Patterns of m by n matrices of term-rank m for which every real matrix with the pattern has no multiple singular value are characterized. This generalizes Fiedler's characterizatio…
math.RA2025
The Strong Singular Value Property for Matrices
Caleb Cheung, Bryan Shader
A new property, the strong singular value property, is introduced, developed, and utilized to study the problem of which lists of nonnegative real numbers occur as the singular val…