• Start Date: October 5, 2022
  • Event Start Time: 12:15 PM
  • Event End Time: 1:15 PM
  • Seminar Series: Graduate Combinatorics Seminar
  • Presenter(s): Corrine Yap - Rutgers University
  • Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    In this talk, we'll see many examples of why trees are a nice class of graphs to work with through the lens of matchings. We'll discuss some new extremal results about "almost-perfect" matchings in trees and applications to the so-called Hosoya index aka monomer-dimer partition function aka (unsigned) matching polynomial. This is based on joint work with Stijn Cambie, Bradley McCoy, Gunjan Sharma, and Stephan Wagner.