Tuza's Conjecture

October 10, 2018, 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

Abigail Raz, Rutgers University

 

Tuza's Conjecture states that the triangle cover number is at most 2 times the triangle matching number for every graph G (don't worry, I will define what those two numbers are). Much work has been built off of this conjecture and we will take a short tour through it. We will start by discussing when the conjecture is tight and what progress has been made towards it. We will then look at two fractional versions of the conjecture and end with an extension