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Seminar Details

Random Cayley Graphs and Additive Combinatorics from a Combinatorial Perspective

  • Start Date: February 24, 2025
  • Event Start Time: 2:00 PM
  • Event End Time: 3:00 PM
  • Seminar Series: Rutgers Discrete Mathematics Seminar
  • Presenter(s): Huy Tuan Pham - Institute for Advanced Study
  • Event Location: Conference Room 705 | Rutgers University | Hill Center | 110 Frelinghuysen Rd
  • Event Additional Info: <p>See:&nbsp;<a href="https://sites.google.com/view/rutgersdmseminar">https://sites.google.com/view/rutgersdmseminar</a></p>
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    Cayley graphs provide interesting bridges between graph theory, additive combinatorics and group theory. Fixing an ambient finite group, random Cayley graphs are constructed by choosing a generating set at random. These graphs reflect interesting symmetries and properties of the group, at the cost of inducing complex dependencies. I will discuss several insights and stories that we have learned from the analysis of cliques and independent sets in random Cayley graphs.