Results 21 to 30 of about 590,558 (231)
Partitions, Rooks, and Symmetric Functions in Noncommuting Variables [PDF]
Electronic Journal of Combinatorics, 2010 Let n denote the set of all set partitions off1; 2;:::;ng. We consider two subsets of n, one connected to rook theory and one associated with symmetric functions in noncommuting variables.
M. B. Can, B. Sagan
semanticscholar +1 more source
Shared Care, Elder and Family Member Skills Used to Manage Burden [PDF]
, 2005 Aim. The aim of this paper is to further develop the construct of Shared Care by comparing and contrasting it to related research, and to show how the construct can be used to guide research and practice. Background.
AhYun K. +28 more
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Partitions of Matrix Spaces With an Application to $q$-Rook Polynomials
, 2019 We study the row-space partition and the pivot partition on the matrix space $\mathbb{F}_q^{n \times m}$. We show that both these partitions are reflexive and that the row-space partition is self-dual.
Gluesing-Luerssen, Heide +1 more
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Bijection Between Increasing Binary Trees and Rook Placements on Double Staircases
The Electronic Journal of Combinatorics, 2023 In this paper, we shall construct a bijection between rook placements on double staircases (introduced by Josuat-Vergès in 2017) and increasing binary trees. We introduce two subclasses of rook placements on double staircases, which we call left and right-aligned rook placements.
openaire +2 more sources
Rook placements and generalized partition varieties
Discrete Mathematics, 1997 The paper generalizes the concept of partition varieties introduced in a preceding paper by the same author. For this purpose, \(\gamma\)-compatible partitions \(\lambda\) are introduced, where \(\gamma\) is a composition of some integers. It is shown that a certain quotient space associated to such composition \(\gamma\) and partition \(\lambda\) is a
openaire +1 more source
Type B (p, q)-Stirling Numbers via Signed Restricted Growth Functions and Rook Theory
MathematicsStirling numbers are among the most classical objects in enumerative combinatorics, counting set partitions and permutations. In this paper, we study their (p,q)-analogues in type B from a rook-theoretic point of view. We introduce a type B Ferrers board
Hasan Arslan +3 more
doaj +1 more source
LLT polynomials, chromatic quasisymmetric functions and graphs with cycles
, 2017 We use a Dyck path model for unit-interval graphs to study the chromatic quasisymmetric functions introduced by Shareshian and Wachs, as well as vertical strip --- in particular, unicellular LLT polynomials.
Alexandersson, Per, Panova, Greta
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Elliptic rook and file numbers [PDF]
, 2016 Utilizing elliptic weights, we construct an elliptic analogue of rook numbers for Ferrers boards. Our elliptic rook numbers generalize Garsia and Remmel's q-rook numbers by two additional independent parameters a and b, and a nome p.
Schlosser, Michael J., Yoo, Meesue
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Advanced Functional Materials, EarlyView.This study presents novel anti‐counterfeiting tags with multilevel security features that utilize additional disguise features. They combine luminescent nanosized Ln‐MOFs with conductive polymers to multifunctional mixed‐matrix membranes and powder composites. The materials exhibit visible/NIR emission and matrix‐based conductivity even as black bodies.
Moritz Maxeiner +9 more
wiley +1 more source