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math.CO2023
Combinatorial and Algebraic Properties of Nonnegative Matrices
Jenish C. Mehta
We study the combinatorial and algebraic properties of Nonnegative Matrices. Our results are divided into three different categories. 1. We show a quantitative generalization of th…
math.CO2019
Edge Expansion and Spectral Gap of Nonnegative Matrices
Jenish C. Mehta, Leonard J. Schulman
The classic graphical Cheeger inequalities state that if is an symmetric doubly stochastic matrix, then \[ \frac{1-λ_{2}(M)}{2}\leqϕ(M)\leq\sqrt{2\cdot(1-λ_{2}(M))}…