Results 11 to 20 of about 1,007,951 (256)

LLT polynomials, elementary symmetric functions and melting lollipops [PDF]

Journal of Algebraic Combinatorics, 2020
AbstractWe conjecture an explicit positive combinatorial formula for the expansion of unicellular LLT polynomials in the elementary symmetric basis. This is an analogue of the Shareshian–Wachs conjecture previously studied by Panova and the author in 2018.
Alexandersson, Per,
openaire   +4 more sources

Power sum decompositions of elementary symmetric polynomials

Linear Algebra and Its Applications, 2016
8 ...
exaly   +3 more sources

Partitions and elementary symmetric polynomials: an experimental approach

Ramanujan Journal
Abstract Given a partition $$\lambda $$ λ , we write $$e_j(\lambda )$$ e j
Cristina Ballantine, Mircea Merca
exaly   +4 more sources

The equivalence of two graph polynomials and a symmetric function [PDF]

, 2009
The U-polynomial, the polychromate and the symmetric function generalization of the Tutte polynomial due to Stanley are known to be equivalent in the sense that the coefficients of any one of them can be obtained as a function of the coefficients of any ...
Noble, SD, Merino, C
core   +7 more sources

On orthogonal polynomials and related discrete integrable systems [PDF]

, 2006
Orthogonal polynomials arise in many areas of mathematics and have been the subject of interest by many mathematicians. In recent years this interest has often arisen from outside the orthogonal polynomial community after their connection with ...
Spicer, Paul Edward
core   +7 more sources

A Symmetric Function of Increasing Forests

Forum of Mathematics, Sigma, 2021
For an indifference graph G, we define a symmetric function of increasing spanning forests of G. We prove that this symmetric function satisfies certain linear relations, which are also satisfied by the chromatic quasisymmetric function and unicellular $\
Alex Abreu, Antonio Nigro
doaj   +1 more source

Analogues of the Newton formulas for the block-symmetric polynomials on $\ell_p(\mathbb{C}^s)$

Karpatsʹkì Matematičnì Publìkacìï, 2020
The classical Newton formulas gives recurrent relations between algebraic bases of symmetric polynomials. They are true, of course, for symmetric polynomials on infinite-dimensional Banach sequence spaces.
V.V. Kravtsiv
doaj   +1 more source

The Poincaré Index and Its Applications

Universe, 2022
We discuss an approach to the problem of calculating the local topological index of vector fields given on complex spaces or varieties with singularities developed by the author over the past few years. Our method is based on the study of the homology of
Alexander G. Aleksandrov
doaj   +1 more source

Stanley's character polynomials and coloured factorisations in the symmetric group [PDF]

, 2008
In Stanley [R.P. Stanley, Irreducible symmetric group characters of rectangular shape, Sém. Lothar. Combin. 50 (2003) B50d, 11 p.] the author introduces polynomials which help evaluate symmetric group characters and conjectures that the coefficients of ...
Rattan, Amarpreet, Rattan, A.
core   +1 more source

A Fast Novel Recursive Algorithm for Computing the Inverse of a Generalized Vandermonde Matrix

Axioms, 2022
The main research object of this paper is to present a systematic computational procedure for computing the inverse of a generalized Vandermonde matrix.
Ahmed Arafat, Moawwad El-Mikkawy
doaj   +1 more source