9 citations · 20 across the 12 of their papers we have counts for
7 papers · 1 filter
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…
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…
Proper caterpillars are distinguished by their symmetric chromatic function
José Aliste-Prieto, José Zamora
This paper deals with the so-called Stanley conjecture, which asks whether they are non-isomorphic trees with the same symmetric function generalization of the chromatic polynomial…