2 citations · 2 across the 2 of their papers we have counts for
6 papers
How to Use Deep Learning to Identify Sufficient Conditions: A Case Study on Stanley's -Positivity
Farid Aliniaeifard, Shu Xiao Li
In a study, published in Nature, researchers from DeepMind and mathematicians demonstrated a general framework using machine learning to make conjectures in pure mathematics. Here,…
Extending the descent-to-peak map and its applications
Farid Aliniaeifard, Shu Xiao Li
The descent-to-peak map serves as a bridge between algebra and combinatorics. We use it as a tool for proving the equidistribution of peak and valley sets of standard Young tableau…
The peak algebra in noncommuting variables
Farid Aliniaeifard, Shu Xiao Li
The well-known descent-to-peak map for the Hopf algebra of quasisymmetric functions, , and the peak algebra were originally defined by Stem…
Chromatic quasisymmetric functions of the path graph
Farid Aliniaeifard, Shamil Asgarli, Maria Esipova +3
We show that the chromatic quasisymmetric function (CQF) of a labeled path graph on vertices is not symmetric unless the labeling is the natural labeling or its…
The chromatic symmetric function of a graph centred at a vertex
Farid Aliniaeifard, Victor Wang, Stephanie van Willigenburg
We discover new linear relations between the chromatic symmetric functions of certain sequences of graphs and apply these relations to find new families of e-positive unit interval…
The extra basis in noncommuting variables
Farid Aliniaeifard, Stephanie van Willigenburg
We answer a question of Bergeron, Hohlweg, Rosas, and Zabrocki from 2006 to give a combinatorial description for the coproduct of the x-basis in the Hopf algebra of symmetric funct…