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Submitted by bksahoo on 14 January, 2020 - 13:03

Date/Time:

Friday, January 17, 2020 - 14:35 to 15:35

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.

**School of Mathematical Sciences**

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