Raghavendra Tripathi

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20232026

most citedA note on Erdős matrices and Marcus\unicode{x2013}Ree inequality

2 citations · 2 across the 13 of their papers we have counts for

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math.MG2024

Some observations on Erdős matrices

Raghavendra Tripathi

In a seminal paper in 1959, Marcus and Ree proved that every $n \times n$ bistochastic matrix $A$ satisfies $∥ A ∥_{F}^{2} \leq max_{σ \in S_{n}} A_{i, σ (i)}$ where $S_{n}$ is…

math.CO2024

On log-concavity of the number of orbits in commuting tuples of permutations

Raghavendra Tripathi

Denote by $A (p, n, k)$ the number of commuting $p$ -tuples of permutations on $[n]$ that have exactly $k$ distinct orbits. It was conjectured in~\cite{abdesselam2023log} that $A(p,…