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« Packing and Covering Triangles in Graphs

Packing and Covering Triangles in Graphs

February 02, 2022, 12:15 PM - 1:15 PM

Location:

Mathematics Graduate Student Lounge -- 7th Floor

Rutgers University

Hill Center

Mathematics Department

110 Frelinghuysen Road

Piscataway, NJ 08854

Natasha Ter-Saakov, Rutgers University

If we let v(G) be the maximal cardinality of a set of pairwise disjoint triangles in G, and t(G) be the minimal cardinality of an edge cover with an edge in each triangle, Tuza conjectured that v(G) leq t(G) for all graphs G. In this talk, we will discuss progress made on this conjecture for different families of graphs.

 

This seminar is being held in person in The Hill Center,
Mathematics Graduate Student Lounge - 7th Floor
and online via a simultaneous broadcast on Zoom.

Zoom Link: https://rutgers.zoom.us/j/94920082555

Meeting ID: 949 2008 2555

Password: 680813

 

For further information see: https://sites.math.rutgers.edu/~ctk47/GCS.html