The Graph Isomorphism (GI) problem is arguably the most widely known problem whose membership in P is unknown, but which is not believed to be NP-hard. While the existence of a polynomial-time algorithm on general graphs is still elusive, the complexity of Graph Isomorphism has been well understood on several classes of graphs, where structural properties of graphs in question have been used to design polynomial-time procedures solving the problem. In this talk we will look at some of these algorithms for Graph Isomorphism through the perspective of contributions of the speaker.

This video was produced by the Chennai Mathematical Institute as part of the workshop Perspectives in Mathematical Sciences.