Raghavendra Tripathi

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20232026

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math.CO2026

On card guessing after an asymmetric single-shelf shuffle

Alexander Clay, Markus Kuba, Raghavendra Tripathi

We provide a definitive analysis of the number of correct guesses in the complete-feedback card guessing game after an asymmetric single-shelf shuffle with parameter $p \in (0, 1)$ .…

math.CO2025

Number of orbits of $k$ -subsets of permutations

Ludovick Bouthat, Raghavendra Tripathi

Let $S_{n}$ denote the symmetric group of order $n$ . Say that two subsets $x, y \subseteq S_{n}$ are \emph{equivalent} if there exist permutations $g_{1}, g_{2} \in S_{n}$ such that $g_1xg_2=y…

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,…

On card guessing after an asymmetric single-shelf shuffle

Number of orbits of k-subsets of permutations

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

Number of orbits of $k$ -subsets of permutations