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» On circularly symmetric functions
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COMBINATORICS
2004
79views more  COMBINATORICS 2004»
14 years 9 months ago
Bottom Schur Functions
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
Peter Clifford, Richard P. Stanley
84
Voted
ISMVL
2000
IEEE
103views Hardware» more  ISMVL 2000»
15 years 1 months ago
Experiments on FPRM Expressions for Partially Symmetric Logic Functions
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...
74
Voted
COMBINATORICS
2006
108views more  COMBINATORICS 2006»
14 years 9 months ago
Grothendieck Bialgebras, Partition Lattices, and Symmetric Functions in Noncommutative Variables
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 ...
Nantel Bergeron, Christophe Hohlweg, Mercedes Rosa...
107
Voted
INDOCRYPT
2005
Springer
15 years 3 months ago
On the Algebraic Immunity of Symmetric Boolean Functions
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...
An Braeken, Bart Preneel
COMBINATORICS
2000
142views more  COMBINATORICS 2000»
14 years 9 months ago
Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials
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...
Alexei Borodin, Grigori Olshanski