Michael Tang

The generalized degree polynomial (GDP) of a tree is an invariant introduced by Crew that enumerates subsets of vertices by size and number of internal and boundary edges. Aliste-Prieto et al. proved that the chromatic symmetric function of a tree...

In characteristic zero, the Hopf algebra of quasisymmetric functions QSym is isomorphic to the shuffle algebra of compositions Sh, and isomorphisms between them can be specified via shuffle bases of QSym. We give characterizations of shuffle bases...