Venue
SMS Seminar Room
Speaker
Dr. Venkata Raghu Tej Pantangi
Affiliation
Southern University of Science and Technology, China
Title
Critical groups of graphs
The critical group of a graph is an interesting isomorphic invariant. It is a finite abelian group whose order is equal to the number of spanning forests in the graph. The Smith normal form of the graph's Laplacian determines the structure of its critical group. In this presentation, we will consider a family of strongly regular graphs. We will apply representation theory of groups of automorphisms to determine the critical groups of graphs in this family.