Location
Stephen F Austin State University, Baker Pattillo Student Center Theater and Twilight Ballroom
Start Date
15-4-2025 4:00 PM
End Date
15-4-2025 7:00 PM
Description
We consider graphs with a small number of vertices and analyze the coefficients of hook partitions of their chromatic symmetric function, which is a generalization of the chromatic polynomial of a graph. Some of these coefficients can hold information about the graphs themselves and, in this research, we find a combinatorial formula for coefficients of hook partitions. This research is motivated by Stanley's Tree Conjecture.
Exploring Graphs and Chromatic Symmetric Functions
Stephen F Austin State University, Baker Pattillo Student Center Theater and Twilight Ballroom
We consider graphs with a small number of vertices and analyze the coefficients of hook partitions of their chromatic symmetric function, which is a generalization of the chromatic polynomial of a graph. Some of these coefficients can hold information about the graphs themselves and, in this research, we find a combinatorial formula for coefficients of hook partitions. This research is motivated by Stanley's Tree Conjecture.
Comments
Faculty Sponsor: Colin Lawson (Department of Mathematics and Statistics)