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Seminar Details

A Random Graph Model for Clustering Graphs

  • Start Date: September 18, 2023
  • Event Start Time: 2:00 PM
  • Event End Time: 3:00 PM
  • Seminar Series: Rutgers Discrete Mathematics Seminar
  • Presenter(s): Nicholas Sieger - University of California, San Diego
  • 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:

    We introduce a random graph model for clustering graphs with a given degree sequence. Unlike many previous random graph models, we incorporate clustering effects into the model. We show that random clustering graphs can construct graphs with a power-law expected degree sequence, small diameter, and any desired clustering coefficient. Our results follow from a general theorem on subgraph counts which may be of independent interest.