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Seminar Details

Tree Decompositions and Spanning Trees

  • Start Date: February 14, 2024
  • Event Start Time: 12:15 PM
  • Event End Time: 1:15 PM
  • Seminar Series: Graduate Combinatorics Seminar
  • Presenter(s): Pablo Blanco - Rutgers University
  • Event Location: Mathematics Graduate Student Lounge -- 7th Floor | Rutgers University | Hill Center | Mathematics Department
  • Event Additional Info: <p>See:&nbsp;<a href="https://sites.math.rutgers.edu/~kmg326/GCS/GCS.html">https://sites.math.rutgers.edu/~kmg326/GCS/GCS.html</a></p>
  • Presentation Type: Stand Alone Presentation
  • Abstract:

    I'll be talking about tree decompositions and their relation to spanning trees. A tree decomposition is a way to represent a graph as a tree; generally, a good tree decomposition is one with small "tree-width" and this tells you how much your graph looks like a tree.  Courcelle's Theorem tells us that (many of) the properties of graphs with bounded tree-width are quickly checked.