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math.CO2026
Enumeration of Laplacian integral and {-1,0,1}-diagonalizable graphs
Nathaniel Johnston, Sarah Plosker, Luis M. B. Varona
A graph with Laplacian matrix is called Laplacian integral if the eigenvalues of are all integers, and it is called -diagonalizable if has a full set of eig…
math.CO2025
The Factor Width Rank of a Matrix
Nathaniel Johnston, Shirin Moein, Sarah Plosker
A matrix is said to have factor width at most if it can be written as a sum of positive semidefinite matrices that are non-zero only in a single principal submatri…