Kassie Archer

activity

20132026

most citedPattern restricted quasi-Stirling permutations

14 citations · 26 across the 27 of their papers we have counts for

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Showing 2018Show all

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math.CO2018★ 14 cited

Pattern restricted quasi-Stirling permutations

Kassie Archer, Adam Gregory, Bryan Pennington +1

We define a variation of Stirling permutations, called quasi-Stirling permutations, to be permutations on the multiset ${1, 1, 2, 2, \dots, n, n}$ that avoid the patterns 1212 and 21…

math.CO2018

Involutions and the Gelfand character

Kassie Archer, Virginia Germany, C. Marin King +1

The Gelfand representation of $S_{n}$ is the multiplicity-free direct sum of the irreducible representations of $S_{n}$ . In this paper, we use a result of Adin, Pos…

math.CO2018

Enumerating two permutation classes by the number of cycles

Kassie Archer

We enumerate permutations in the two permutation classes $Av_{n} (312, 4321)$ and $Av_{n} (321, 4123)$ by the number of cycles each permutation admits. We also refine this…