Meeting Time: Sept. 22, 2009, 2:00-2:50pm
Among trees on n vertices and some bounded degree, there is
a unique tree maximizing the number of independent sets, minimizing
the number of matchings, and minimizing the energy. All three of these
extremal trees happen to be the same. We will discuss the interesting
structure of this class of trees, and an interesting system of
numeration that arises from these trees.