Nickolas Chura, Mount Hood Community College

*Youâ€™ll never guess what happened next when this suburban math teacher realized he had to use abstract algebra to build a game!*

slides

I will tell an interactive story about my board game addicted 12-year-old daughter and how we found a need for group-theoretic combinatorics.
Come ready to build a simple game and analyze it mathematically.

Kaelyn Flowerday, Portland State University

*Unfolding trees and symmetrically-associated graphs*

An unfolding tree is an object reflecting the connectivity of a vector-labelled graph.
First introduced in theoretical computer science, unfolding trees have remained unexplored within graph theory.
This talk investigates unfolding trees, focusing on an equivalence relation they induce between vertices.
This leads to the definition of the class of symmetrically-associated graphs, which have predictably-behaved unfolding trees and can be viewed as a generalization of *k*-regular graphs.