1 citations · 2 across the 3 of their papers we have counts for
8 papers
Maximal chains in lattices from graph associahedra: Tamari to the weak order
Samantha Dahlberg, Susanna Fishel
In this paper, we study the maximal chains of lattices which generalizes both the weak order and the Tamari lattice: certain lattices of maximal tubings. A maximal tubing poset $\m…
Diameters of Graphs on Reduced Words of 12 and 21-Inflations
Samantha Dahlberg, Younghwan Kim
It is a classical result that any permutation in the symmetric group can be generated by a sequence of adjacent transpositions. The sequences of minimal length are called reduced w…
Chromatic Posets
Samantha Dahlberg, Adrian She, Stephanie van Willigenburg
In 1995 Stanley introduced the chromatic symmetric function of a graph , whose -positivity and Schur-positivity has been of large interest. In this paper we study the r…
Chromatic symmetric functions in noncommuting variables revisited
Samantha Dahlberg, Stephanie van Willigenburg
In 1995 Stanley introduced a generalization of the chromatic polynomial of a graph , called the chromatic symmetric function, , which was generalized to noncommuting variab…
Schur and -positivity of trees and cut vertices
Samantha Dahlberg, Adrian She, Stephanie van Willigenburg
We prove that the chromatic symmetric function of any -vertex tree containing a vertex of degree is not -positive, that is, not a positive linear combinat…
Triangular Ladders are -positive
Samantha Dahlberg
In 1995 Stanley conjectured that the chromatic symmetric functions of the graphs , which we call triangular ladders, were -positive. In this paper we confirm this conje…