Associate Professor of Mathematics Debra Boutin recently published a research article "Determining Sets, Resolving Sets, and the Exchange Property" in Graphs and Combinatorics. In this work, Boutin examines two classes of subsets in a network, each of which can be used to uniquely identify both the vertices and the symmetries of the network. In particular she examines when such subsets are analogous to a basis, a set that is fundamental to other areas of mathematics.
