## Seminario

Data evento:

Thursday, May 23, 2013 - 15:00

**Zero-divisor graphs of some 3- or 4-variable polynomial rings**

Zero-divisors of commutative rings provide a nice link between graph theory and algebra. Over the years, they have been studied mostly from an algebraic viewpoint and therefore with algebraic arguments. However, by exploiting some purely combinatorial tools it is possible to obtain in a more effective way a classical result on Beck's conjecture (using a suitable quotient of a polynomial ring), and it is also easier - I think - to work with these graphs when looking at colouring properties, classification problems, and other questions