19–23 Aug 2024
IBS Science Culture Center
Asia/Seoul timezone

Graphs embedded on surfaces and their delta-matroids

21 Aug 2024, 09:45
25m
S236 (IBS Science Culture Center)

S236

IBS Science Culture Center

Daejeon, Yuseong District, Expo-ro, 55 과학문화센터
Presentation (25 min)

Speaker

Carolyn Chun (University of Maryland)

Description

By ``cutting out'' the edges and vertices of a graph cellularly embedded in a surface, we obtain a ribbon graph. A partial Petrial is obtained from a ribbon graph by selecting a subset of the ribbon edges adding a half-twist to each. Delta-matroids generalize ribbon graphs similarly to the way that matroids generalize graphs. The ribbon graph partial Petrial is the analogue of a more general delta-matroid operation. In this talk, we characterize the set of delta-matroids that is closed under this delta-matroid operation by a set of minimal obstructions.

Primary author

Carolyn Chun (University of Maryland)

Co-authors

Prof. Iain Moffatt (Royal Holloway University of London) Dr Ralf Rueckriemen (Royal Holloway University of London) Prof. Steven Noble (Birkbeck, University of London)

Presentation materials

There are no materials yet.