3 papers
math.AT2024
Any Graph is a Mapper Graph
Enrique G Alvarado, Robin Belton, Kang-Ju Lee +4
The Mapper algorithm is a popular tool for visualization and data exploration in topological data analysis. We investigate an inverse problem for the Mapper algorithm: Given a data…
cs.LG2023
G-Mapper: Learning a Cover in the Mapper Construction
Enrique Alvarado, Robin Belton, Emily Fischer +4
The Mapper algorithm is a visualization technique in topological data analysis (TDA) that outputs a graph reflecting the structure of a given dataset. However, the Mapper algorithm…
math.CO2019
Acyclic orientation polynomials and the sink theorem for chromatic symmetric functions
Byung-Hak Hwang, Woo-Seok Jung, Kang-Ju Lee +2
We define the acyclic orientation polynomial of a graph to be the generating function for the sinks of its acyclic orientations. Stanley proved that the number of acyclic orientati…