Seminar Details
Induced Subdivisions and Polylogarithmic Chromatic Number
- Start Date: October 7, 2024
- Event Start Time: 2:00 PM
- Event End Time: 3:00 PM
- Seminar Series: Rutgers Discrete Mathematics Seminar
- Presenter(s): Tung H Nguyen - Princeton University
- Event Location: Conference Room 705 | Rutgers University | Hill Center | 110 Frelinghuysen Rd
- Event Additional Info: <p>See: <a href="https://sites.google.com/view/rutgersdmseminar">https://sites.google.com/view/rutgersdmseminar</a></p>
- Presentation Type: Stand Alone Presentation
- Abstract:
We discuss a proof that for every graph H, every n-vertex graph with no induced subdivision of H and with bounded clique number has chromatic number at most polylog(n). This extends a result of Fox and Pach that similar polylogarithmic bounds hold for all string graphs, and is close to optimal as there are triangle-free n-vertex string graphs with chromatic number at least loglog n. Joint work with Alex Scott and Paul Seymour.
