9 citations · 20 across the 12 of their papers we have counts for
13 papers
Chromatic symmetric functions and polynomial invariants of trees
José Aliste-Prieto, Jeremy L. Martin, Jennifer D. Wagner +1
Stanley asked whether a tree is determined up to isomorphism by its chromatic symmetric function. We approach Stanley's problem by studying the relationship between the chromatic s…
Marked graphs and the chromatic symmetric function
José Aliste-Prieto, Anna de Mier, Rosa Orellana +1
The main result of this paper is the introduction of marked graphs and the marked graph polynomials (-polynomial) associated with them. These polynomials can be defined via a de…
Rotation numbers and rotation classes on one-dimensional tiling spaces
José Aliste-Prieto, Betseygail Rand, Lorenzo Sadun
We extend rotation theory of circle maps to tiling spaces. Specifically, we consider a 1-dimensional tiling space with finite local complexity and study self-maps that are…
A Vertex-Weighted Tutte Symmetric Function, and Constructing Graphs with Equal Chromatic Symmetric Function
José Aliste-Prieto, Logan Crew, Sophie Spirkl +1
This paper has two main parts. First, we consider the Tutte symmetric function , a generalization of the chromatic symmetric function. We introduce a vertex-weighted version of…
On the smallest trees with the same restricted -polynomial and the rooted -polynomial
José Aliste-Prieto, Anna de Mier, José Zamora
In this article, we construct explicit examples of pairs of non-isomorphic trees with the same restricted -polynomial for every ; by this we mean that the polynomials agree o…
On trees with the same restricted U-polynomial and the Prouhet-Tarry-Escott problem
José Aliste-Prieto, Anna de Mier, José Zamora
This paper focuses on the well-known problem due to Stanley of whether two non-isomorphic trees can have the same -polynomial (or, equivalently, the same chromatic symmetric fun…