TY - JOUR
T1 - Pattern-avoiding even and odd Grassmannian permutations
AU - Gil, Juan B.
AU - Tomasko, Jessica A.
N1 - Funding Information:
We are very grateful to the Altoona Summer Undergraduate Research Fellowship that made it possible for Tomasko to dedicate herself to this project during the summer of 2021.
Publisher Copyright:
© The author(s). Released under the CC BY 4.0 International License.
PY - 2023
Y1 - 2023
N2 - In this paper, we investigate pattern avoidance of parity restricted (even or odd) Grassmannian permutations for patterns of sizes 3 and 4. We use a combination of direct counting and bijective techniques to provide recurrence relations, closed formulas, and generating functions for their corresponding enumerating sequences. In addition, we establish some connections to Dyck paths, directed multigraphs, weak compositions, and certain integer partitions.
AB - In this paper, we investigate pattern avoidance of parity restricted (even or odd) Grassmannian permutations for patterns of sizes 3 and 4. We use a combination of direct counting and bijective techniques to provide recurrence relations, closed formulas, and generating functions for their corresponding enumerating sequences. In addition, we establish some connections to Dyck paths, directed multigraphs, weak compositions, and certain integer partitions.
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M3 - Article
AN - SCOPUS:85153772953
SN - 1034-4942
VL - 86
SP - 187
EP - 205
JO - Australasian Journal of Combinatorics
JF - Australasian Journal of Combinatorics
IS - 1
ER -