====== Simon Joyce (Binghamton) ======

====== The Sum of Squares of Degrees in a Graph ======

===== Abstract for the Combinatorics Seminar 2009 December 8 =====

Let //G//(v,e) be the set of all simple graphs with v vertices and e edges and let P<sub>2</sub>(G) = ∑ d<sub>i</sub><sup>2</sup> denote the sum of the squares of the degrees of the vertices of G. I will classify all graphs G in //G//(v,e) for which P<sub>2</sub>(G) attains a maximum.

This talk is based on a recent paper by Bernardo M. Ábrego, Silvia Fernández-Merchant, Micheal G. Neubauer, and William Watkins.


----