Accurate computing elementary symmetric functions

In 1995 Stanley introduced a generalization of the chromatic polynomial of a graph G, called the chromatic symmetric function, X G, which was generalized to noncommuting variables, Y G, by Gebhard-Sagan in 2001. Recently there has been ...

We present the basic elements of a generalization of symmetric function theory involving functions of commuting and anticommuting (Grassmannian) variables. These new functions, called symmetric functions in superspace, are invariant under the diagonal ...

Symmetric submodular functions are an important family of submodular functions capturing many interesting cases, including cut functions of graphs and hypergraphs. Maximization of such functions subject to various constraints receives little attention ...