  We investigate the relation between degree sequences of trees and the
majorization order using the Muirhead theorem. In this way, we prove a theorem
that provides a necessary and sufficient condition for delta sequences of trees
to be comparable in the majorization order. Although our investigation is
largely theoretical, our study contributes to a better knowledge of trees as an
important data structure. We point out that this study is among the few
combining Lorenz curves and majorization on the one hand, and degree sequences
of networks on the other.
