We will discuss sections 2.2 and 2.3 of Benedetti and Varbaro's 2014 "On the dual graph of Cohen-Macaulay algebras." These sections discuss results relating the number of minimal primes of an unmixed, graded ideal I in a polynomial ring S and the multiplicity of S/I. We will review the notion of a dual graph of such an ideal, discussed in last week's seminar, for use in some of the results in these two sections. Speaker(s): Patricia Klein (University of Michigan)