### Jaeseong Oh (오재성), A 2-isomorphism theorem for delta-matroids

### Jaeseong Oh (오재성), A 2-isomorphism theorem for delta-matroids

Whitney’s 2-Isomorphism Theorem characterises when two graphs have isomorphic cycle matroids. In this talk, we present an analogue of this theorem for graphs embedded in surfaces by characterising when two graphs in surface have isomorphic delta-matroids. This is based on the joint work with Iain Moffatt.