We give a basis for the space spanned by the sum ^s of the lowest degree terms in the expansion of the Schur symmetric functions s in terms of the power sum
This paper focuses on the fixed polarity ReedMuller (FPRM) expression of multiple-valued logic (MVL) symmetric functions. In the FPRM expression, each variable occurs in exactly o...
Svetlana N. Yanushkevich, Jon T. Butler, Gerhard W...
We show that the Grothendieck bialgebra of the semi-tower of partition lattice algebras is isomorphic to the graded dual of the bialgebra of symmetric functions in noncommutative ...
In this paper, we analyse the algebraic immunity of symmetric Boolean functions. We identify a set of lowest degree annihilators for symmetric functions and propose an efficient al...
We construct examples of nonnegative harmonic functions on certain graded graphs: the Young lattice and its generalizations. Such functions first emerged in harmonic analysis on th...