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Autor:
Minnich, Quinn
The study of pinnacle sets has been a recent area of interest in combinatorics. Given a permutation, its pinnacle set is the set of all values larger than the values on either side of it. Largely inspired by conjectures posed by Davis, Nelson, Peters
Externí odkaz:
http://arxiv.org/abs/2111.08075
Autor:
Domagalski, Rachel, Liang, Jinting, Minnich, Quinn, Sagan, Bruce E., Schmidt, Jamie, Sietsema, Alexander
Consider a permutation p to be any finite list of distinct positive integers. A statistic is a function St whose domain is all permutations. Let S(p,q) be the set of shuffles of two disjoint permutations p and q. We say that St is shuffle compatible
Externí odkaz:
http://arxiv.org/abs/2106.10182
Autor:
Domagalski, Rachel, Liang, Jinting, Minnich, Quinn, Sagan, Bruce E., Schmidt, Jamie, Sietsema, Alexander
The study of pattern containment and avoidance for linear permutations is a well-established area of enumerative combinatorics. A cyclic permutation is the set of all rotations of a linear permutation. Callan initiated the study of permutation avoida
Externí odkaz:
http://arxiv.org/abs/2106.02534
Autor:
Domagalski, Rachel, Liang, Jinting, Minnich, Quinn, Sagan, Bruce E., Schmidt, Jamie, Sietsema, Alexander
Let pi = pi_1 pi_2 ... pi_n be a permutation in the symmetric group S_n written in one-line notation. The pinnacle set of pi, denoted Pin pi, is the set of all pi_i such that pi_{i-1} < pi_i > pi_{i+1}. This is an analogue of the well-studied peak se
Externí odkaz:
http://arxiv.org/abs/2105.10388
Autor:
Minnich, Quinn
Publikováno v:
In Discrete Mathematics April 2023 346(4)
Autor:
Minnich, Quinn, Umble, Ronald
Let $P$ be an $n$-gon with $n\geq3.$ There is a formal combinatorial $A_\infty$-coalgebra structure on cellular chains $C_*(P)$ with non-vanishing higher order structure when $n\geq5$. If $X_g$ is a closed compact surface of genus $g\geq2$ and $P_g$
Externí odkaz:
http://arxiv.org/abs/1801.08071
Autor:
Domagalski, Rachel, Liang, Jinting, Minnich, Quinn, Sagan, Bruce E., Schmidt, Jamie, Sietsema, Alexander
Publikováno v:
In Discrete Mathematics July 2022 345(7)
Autor:
Domagalski, Rachel, Elizalde, Sergi, Liang, Jinting, Minnich, Quinn, Sagan, Bruce E., Schmidt, Jamie, Sietsema, Alexander
Publikováno v:
In Advances in Applied Mathematics April 2022 135
Akademický článek
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Autor:
Minnich, Quinn, Umble, Ronald
Publikováno v:
Georgian Mathematical Journal; Dec2018, Vol. 25 Issue 4, p593-602, 10p