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math.CO2025
Enriched Cycle Structures and Roots of Permutations
William Y. C. Chen, Elena L. Wang
This paper is concerned with a duality between -regular permutations and -cycle permutations, and a monotone property due to Bóna-McLennan-White on the probability …
math.CO2024
The Wide Band Cayley Continuants
William Y. C. Chen, Elena L. Wang
The Cayley continuants are referred to the determinants of tridiagonal matrices in connection with the Sylvester continuants. Munarini-Torri found a striking combinatorial interpre…