6 citations · 6 across the 3 of their papers we have counts for
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On the poset of vector partitions
Natalie Aisbett
We consider the poset of vector partitions of into components, denoted , which was first defined by Stanley in 1978. In 1986, Sagan showed that this poset is CL-…
A relation on 132-avoiding permutation patterns
Natalie Aisbett
Rudolph conjectures that for permutations and of the same length, for all if and only if the spine structure of is less than or equal to the…
gamma-vectors of edge subdivisions of the boundary of the cross polytope
Natalie Aisbett
For any flag simplicial complex obtained by stellar subdividing the boundary of the cross polytope in edges, we define a flag simplicial complex (dependent on the sequen…
Frankl-Füredi-Kalai Inequalities on the -vectors of flag nestohedra
Natalie Aisbett
For any flag nestohedron, we define a flag simplicial complex whose -vector is the -vector of the nestohedron. This proves that the -vector of any flag nestohedron satisfi…
Inequalities between gamma-polynomials of graph-associahedra
Natalie Aisbett
We prove a conjecture of Postnikov, Reiner and Williams by defining a partial order on the set of tree graphs with vertices that induces inequalities between the -polynomial…