On some anticyclic operads.
On strongly sum-free subsets of abelian groups
In his book on unsolved problems in number theory [1] R. K. Guy asks whether for every natural l there exists with the following property: for every and any n elements of a group such that the product of any two of them is different from the unit element of the group, there exist l of the such that for and . In this note we answer this question in the affirmative in the first non-trivial case when l=3 and the group is abelian, proving the following result.
On subsequence sums of a zero-sum free sequence. II.
On symmetric functions and the spin characters of
On symmetric polynomials. (Über symmetrische Polynome.)
On systems of overlapping sets and symmetric polynomial inequalities
On the automorphism group of Solomon's descent algebra.
On the combinatorics of Young-Capelli symmetrizers.
On the common-neighborhood energy of a graph
On the - and -triangle of the barycentric subdivision of a simplicial complex
For a simplicial complex we study the behavior of its - and -triangle under the action of barycentric subdivision. In particular we describe the - and -triangle of its barycentric subdivision . The same has been done for - and -vector of by F. Brenti, V. Welker (2008). As a consequence we show that if the entries of the -triangle of are nonnegative, then the entries of the -triangle of are also nonnegative. We conclude with a few properties of the -triangle of .
On the formula of Goulden and Rattan for Kerov polynomials.
On the Fourier transform on the infinite symmetric group.
On the Kronecker product of Schur functions of two row shapes.
On the Kronecker product .
On the most weight vectors in a dimension binary code.
On the -conjecture
On the -modules generated by partitions of a given shape.
On the Nilpotent representations of GLn (O).
On the number of fully packed loop configurations with a fixed associated matching.
On the number of rim hook tableaux