منابع مشابه
On the inverse Kostka matrix
In the ring of symmetric functions the inverse Kostka matrix appears as the transition matrix from the bases given by monomial symmetric functions to the Schur bases. We present both a combinatorial characterization and a recurrent formula for the entries of the inverse Kostka matrix which are different from the results obtained by Egecioglu and Remmel [ER] in 1990. An application to the topolo...
متن کاملA combinatorial interpretation of the inverse t-Kostka matrix
In this paper we use tournament matrices to give a combinatorial interpretation for the entries of the inverse t-Kostka matrix, which is the transition matrix between the Hall-Littlewood polyno-mials and the Schur functions. 0.1 Introduction In the rst section of this paper we introduce some basic notation about tournament matrices, and prove a theorem that is crucial in the second section. In ...
متن کاملFrom quasisymmetric expansions to Schur expansions via a modified inverse Kostka matrix
Every symmetric function f can be written uniquely as a linear combination of Schur functions, say f = ∑ λ xλsλ, and also as a linear combination of fundamental quasisymmetric functions, say f = ∑ α yαQα. For many choices of f arising in the theory of Macdonald polynomials and related areas, one knows the quasisymmetric coefficients yα and wishes to compute the Schur coefficients xλ. This paper...
متن کاملOn the Inverse of Forward Adjacency Matrix
During routine state space circuit analysis of an arbitrarily connected set of nodes representing a lossless LC network, a matrix was formed that was observed to implicitly capture connectivity of the nodes in a graph similar to the conventional adjacency matrix, but in a slightly different manner. This matrix has only 0, 1 or -1 as its elements. A sense of direction (of the graph formed by the...
متن کاملGeneralized inverse of fuzzy neutrosophic soft matrix
Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Aim of this article is to find the maximum and minimum solution of the fuzzy neutrosophic soft relational equations xA=b and Ax=b, where x and b are fuzzy neutrosophic soft vector and A is a fuzzy neutrosophic soft matrix. Wheneve...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2003
ISSN: 0097-3165
DOI: 10.1016/s0097-3165(03)00106-7