Seminar Details
The Structure of Triangle-free Graphs with no Induced Six-vertex Path
- Start Date: October 23, 2017
- Event Start Time: 2:00 PM
- Event End Time: 3:00 PM
- Seminar Series: Rutgers Discrete Mathematics Seminar
- Presenter(s): Sophie Spirkl - Princeton University
- Event Location: Hill Center-Room 705
- Presentation Type: Stand Alone Presentation
- Abstract:
I will talk about an explicit construction for triangle-free graphs that do not contain a six-vertex path as an induced subgraph. Examples include the 16-vertex Clebsch graph, and the graph that arises from a complete bipartite graph by subdividing every edge of a perfect matching exactly once. We show that every connected triangle-free graph with no six-vertex induced path can be obtained from an induced subgraph of one of these two by restricted homogeneous set and homogeneous pair operations.
Joint work with Maria Chudnovsky, Paul Seymour, and Mingxian Zhong.