Results 91 to 100 of about 159 (130)

K-Orbit closures and Hessenberg varieties

Forum of Mathematics, Sigma
This article explores the relationship between Hessenberg varieties associated with semisimple operators with two eigenvalues and orbit closures of a spherical subgroup of the general linear group.
Mahir Bilen Can, Martha Precup, John Shareshian, Özlem Uğurlu   +3 more
doaj   +1 more source

On Matrices with Bidimensional Fibonacci Numbers

Annales Mathematicae Silesianae
In this paper, the bidimensional extensions of the Fibonacci numbers are explored, along with a detailed examination of their properties, characteristics, and some identities.
Costa Eudes Antonio, Catarino Paula M.M.C.   +1 more
doaj   +1 more source

Two-sided permutation statistics via symmetric functions

Forum of Mathematics, Sigma
Given a permutation statistic $\operatorname {\mathrm {st}}$ , define its inverse statistic $\operatorname {\mathrm {ist}}$ by . We give a general approach, based on the theory of symmetric functions, for finding the joint distribution of
Ira M. Gessel, Yan Zhuang
doaj   +1 more source

Colored multiset Eulerian polynomials [PDF]

Colored multiset Eulerian polynomials are a common generalization of MacMahon's multiset Eulerian polynomials and the colored Eulerian polynomials, both of which are known to satisfy well-studied distributional properties including real-rootedness, log ...
Solus, Liam, Deligeorgaki, Danai, Han, Bin   +2 more
core   +1 more source

Combinatorics of rectangulations: old and new bijections [PDF]

A rectangulation is a decomposition of a rectangle into finitely many rectangles. Via natural equivalence relations, rectangulations can be seen as combinatorial objects with a rich structure, with links to lattice congruences, flip graphs, polytopes ...
Felsner, Stefan, Cardinal, Jean, Fusy, Éric, Asinowski, Andrei   +3 more
core   +1 more source

Continued fractions using a Laguerre digraph interpretation of the Foata-Zeilberger bijection and its variants [PDF]

In the combinatorial theory of continued fractions, the Foata-Zeilberger bijection and its variants have been extensively used to derive various continued fractions enumerating several (sometimes infinitely many) simultaneous statistics on permutations ...
Deb, Bishal
core   +1 more source

Математическо моделиране при дизайна на тъкачни структури

, 2010
Красимир Йорджев, Христина Костадинова - В работата се разглежда една релация на еквивалентност в множеството от всички квадратни бинарни матрици. Обсъдена е комбинаторната задача за намиране мощността и елементите на фактормножеството относно тази ...
Kostadinova, Hristina, Yordzhev, Krasimir   +1 more
core  

and

, 2010
. A centrosymmetric permutation is one which is invariant under the reversecomplement operation, or equivalently one whose associated standard Young tableaux under the Robinson-Schensted algorithm are both invariant under the Schützenberger involution ...
Matteo Silimbani, Mark F. Flanagan
core  

On cycles in monotone grid classes of permutations

We undertake a detailed investigation into the structure of permutations in monotone grid classes whose row-column graphs do not contain components with more than one cycle.
David Bevan, Robert Brignall, Nik Ruškuc   +2 more
core   +1 more source

Diagonal operators, \(q\)-Whittaker functions and rook theory

We discuss the problem posed by Bender, Coley, Robbins and Rumsey of enumerating the number of subspaces which have a given profile with respect to a linear operator over the finite field \(\mathbb{F}_q\).
Ram, Samrith, Schlosser, Michael J.
core   +1 more source