Results 11 to 20 of about 730 (133)
Descents of Permutations in a Ferrers Board [PDF]
The Electronic Journal of Combinatorics, 2012 The classical Eulerian polynomials are defined by setting $$A_n(t)= \sum_{\sigma \in \mathfrak{S}_n} t^{1+\mathrm{des}(\sigma)}= \sum_{k=1}^n A_{n,k} t^k$$where $A_{n,k}$ is the number of permutations of length $n$ with $k-1$ descents. Let $A_n(t, q) = \sum_{\pi \in \mathfrak{S}_n} t^{1+{\rm des}(\pi)}q^{{\rm inv}(\pi)} $ be the $\mathrm{inv}$ $q ...
Chunwei Song, Catherine Yan 0001
openaire +2 more sources
Blow-up algebras, determinantal ideals, and Dedekind-Mertens-like formulas [PDF]
, 2016 We investigate Rees algebras and special fiber rings obtained by blowing up specialized Ferrers ideals. This class of monomial ideals includes strongly stable monomial ideals generated in degree two and edge ideals of prominent classes of graphs.
Corso, Alberto +3 more
core +3 more sources
A random walk on the rook placements on a Ferrer's board [PDF]
The Electronic Journal of Combinatorics, 1996 Let $B$ be a Ferrers board, i.e., the board obtained by removing the Ferrers diagram of a partition from the top right corner of an $n\times n$ chessboard. We consider a Markov chain on the set $R$ of rook placements on $B$ in which you can move from one placement to any other legal placement obtained by switching the columns in which two rooks ...
openaire +2 more sources
Throughput analysis for a high-performance FPGA-accelerated real-time search application [PDF]
, 2012 We propose an FPGA design for the relevancy computation part of a high-throughput real-time search application. The application matches terms in a stream of documents against a static profile, held in off-chip memory.
Chalamalasetti, S.R. +2 more
core +3 more sources
Mixed Statistics on 01-Fillings of Moon Polyominoes [PDF]
, 2009 We establish a stronger symmetry between the numbers of northeast and southeast chains in the context of 01-fillings of moon polyominoes. Let $\M$ be a moon polyomino with $n$ rows and $m$ columns.
Chen, William Y. C. +3 more
core +8 more sources
Cycles and sorting index for matchings and restricted permutations [PDF]
, 2012 We prove that the Mahonian-Stirling pairs of permutation statistics $(\sor, \cyc)$ and $(\inv, \mathrm{rlmin})$ are equidistributed on the set of permutations that correspond to arrangements of $n$ non-atacking rooks on a Ferrers board with $n$ rows and $
Poznanovik, Svetlana
core +5 more sources
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
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
core +1 more source
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
core +1 more source
Business Strategy and the Environment, EarlyView.ABSTRACT This study examines corporate environmental reporting practices among listed companies in the European Union during the period 2018–2022, within the context of the Non‐Financial Reporting Directive (NFRD). To this end, an Environmental Disclosure Index (EDI) is constructed based on qualitative reporting items, and panel‐data models are ...
Rosalva Pinto‐Braga +2 more
wiley +1 more source