A history and a survey of lattice path enumeration
type: Item
instance of: scholarly article
title: A history and a survey of lattice path enumeration
zbMATH Open document ID: 1204.05015
author: Katherine Humphreys
published in: Journal of Statistical Planning and Inference
publication date: 2010-05-21T00:00:00Z
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05-02
zbMATH DE Number: 5710813
zbMATH Keywords: lattice path
zbMATH Keywords: reflection principle
zbMATH Keywords: method of images
describes a project that uses: AARON
MaRDI profile type: Publication
full work available at URL: j.jspi.2010.01.020
OpenAlex ID: W2029621764
cites work: Q3509398
cites work: Q4542173
cites work: Q4222737
cites work: Q4428899
cites work: Basic analytic combinatorics of directed lattice paths
cites work: Generating functions for generating trees
cites work: ECO:a methodology for the enumeration of combinatorial objects
cites work: ECO-systems for Dyck and Schröder paths
cites work: ECO method and hill-free generalized Motzkin paths
cites work: Some linear recurrences and their combinatorial interpretation by means of regular languages
cites work: Polynomial sequences of integral type and recursive matrices
cites work: Some Aspects of the Random Sequence
cites work: Osculating paths and oscillating tableaux
cites work: Q5825670
cites work: Some \(q\)-analogues of the Schröder numbers arising from combinatorial statistics on lattice paths
cites work: Counting Walks in the Quarter Plane
cites work: Linear recurrences with constant coefficients: The multivariate case
cites work: Return polynomials for non-intersecting paths above a surface on the directed square lattice
cites work: Bicoloured Dyck paths and the contact polynomial for \(n\) non-intersecting paths in a half-plane lattice
cites work: Historical Note on a Recurrent Combinatorial Problem
cites work: Stochastic Problems in Physics and Astronomy
cites work: Enumeration of restricted three-dimensional lattice paths with fixed numbers of turns and an application
cites work: Enumerating a class of lattice paths
cites work: Left-inversion of combinatorial sums
cites work: Q5534179
cites work: A bijection on Dyck paths and its consequences
cites work: Dyck path enumeration
cites work: An involution on Dyck paths and its consequences
cites work: A bijection between directed column-convex polyominoes and ordered trees of height at most three
cites work: A survey of the Fine numbers
cites work: A bijection between ordered trees and 2-Motzkin paths and its many consequences
cites work: Motzkin numbers
cites work: A problem of arrangements
cites work: A simple and unusual bijection for Dyck paths and its consequences
cites work: Bijections for refined restricted permutations
cites work: Dyck Paths with Peaks Avoiding or Restricted to a Given Set
cites work: Q5798359
cites work: Q3241504
cites work: Q5538132
cites work: A linear operator approach to succession rules
cites work: Weighted lattice paths
cites work: On pairs of lattice paths with a given number of intersections
cites work: Enumeration of permutations containing a prescribed number of occurrences of a pattern of length three
cites work: A probabilistic method for lattice path enumeration
cites work: Binomial determinants, paths, and hook length formulae
cites work: Random Walk in a Weyl Chamber
cites work: Counting pairs of lattice paths by intersections
cites work: Even and odd pairs of lattice paths with multiple intersections
cites work: Q4353152
cites work: Q5807202
cites work: Lattice Paths with Diagonal Steps
cites work: Vicious walkers and Young tableaux I: without walls
cites work: Lattice paths: Vicious walkers and friendly walkers
cites work: On Lattice Paths with Several Diagonal Steps
cites work: Higher dimensional lattice paths with diagonal steps
cites work: Enumeration of higher-dimensional paths under restrictions
cites work: Onq-Binomial Coefficients and Some Statistical Applications
cites work: Counting lattice paths with privileged access using Sheffer sequences
cites work: Counting lattice paths taking steps in infinitely many directions under special access restrictions
cites work: Q4677955
cites work: Continued fractions and Catalan problems
cites work: Q3470468
cites work: Enumeration of lattice paths and generating functions for skew plane partitions

A history and a survey of lattice path enumeration (cites work)
cites work: Generating functions for shifted plane partitions

A history and a survey of lattice path enumeration (cites work)
cites work: The major counting of nonintersecting lattice paths and generating functions for tableaux

A history and a survey of lattice path enumeration (cites work)
cites work: Counting nonintersecting lattice paths with turns

A history and a survey of lattice path enumeration (cites work)
cites work: Oscillating tableaux and nonintersecting lattice paths

A history and a survey of lattice path enumeration (cites work)
cites work: Q4353154

A history and a survey of lattice path enumeration (cites work)
cites work: Permutations with restricted patterns and Dyck paths

A history and a survey of lattice path enumeration (cites work)
cites work: Vicious walkers, friendly walkers and Young tableaux. II: With a wall

A history and a survey of lattice path enumeration (cites work)
cites work: Vicious walkers, friendly walkers, and Young tableaux. III: Between two walls

A history and a survey of lattice path enumeration (cites work)
cites work: Q4393357

A history and a survey of lattice path enumeration (cites work)
cites work: A remarkable formula for counting nonintersecting lattice paths in a ladder with respect to turns

A history and a survey of lattice path enumeration (cites work)
cites work: Q3369810

A history and a survey of lattice path enumeration (cites work)
cites work: Counting pairs of nonintersecting lattice paths with respect to weighted turns

A history and a survey of lattice path enumeration (cites work)
cites work: Solution of an enumerative problem connected with lattice paths

A history and a survey of lattice path enumeration (cites work)
cites work: Counting of paths and coefficients of the Hilbert polynomial of a determinantal ideal

A history and a survey of lattice path enumeration (cites work)
cites work: Dyck paths of knight moves

A history and a survey of lattice path enumeration (cites work)
cites work: Q4294143

A history and a survey of lattice path enumeration (cites work)
cites work: On pairs of non-crossing generalized Dyck paths

A history and a survey of lattice path enumeration (cites work)
cites work: Q4882553

A history and a survey of lattice path enumeration (cites work)
cites work: On the Vector Representations of Induced Matroids

A history and a survey of lattice path enumeration (cites work)
cites work: Trapezoidal lattice paths and multivariate analogues

A history and a survey of lattice path enumeration (cites work)
cites work: Note on André's reflection principle

A history and a survey of lattice path enumeration (cites work)
cites work: Q4483924

A history and a survey of lattice path enumeration (cites work)
cites work: Q5395433

A history and a survey of lattice path enumeration (cites work)
cites work: Q4001936

A history and a survey of lattice path enumeration (cites work)
cites work: Q3768911

A history and a survey of lattice path enumeration (cites work)
cites work: Q4954452

A history and a survey of lattice path enumeration (cites work)
cites work: On Some Alternative Characterizations of Riordan Arrays

A history and a survey of lattice path enumeration (cites work)
cites work: Generating trees and proper Riordan arrays

A history and a survey of lattice path enumeration (cites work)
cites work: A solution to the tennis ball problem

A history and a survey of lattice path enumeration (cites work)
cites work: Q3903764

A history and a survey of lattice path enumeration (cites work)
cites work: On an inclusion-exclusion formula based on the reflection principle

A history and a survey of lattice path enumeration (cites work)
cites work: Q3847021

A history and a survey of lattice path enumeration (cites work)
cites work: Binary strings without zigzags

A history and a survey of lattice path enumeration (cites work)
cites work: Q6135378

A history and a survey of lattice path enumeration (cites work)
cites work: Q3877686

A history and a survey of lattice path enumeration (cites work)
cites work: Q3872467

A history and a survey of lattice path enumeration (cites work)
cites work: Q3887466

A history and a survey of lattice path enumeration (cites work)
cites work: Q3955354

A history and a survey of lattice path enumeration (cites work)
cites work: Q4748889

A history and a survey of lattice path enumeration (cites work)
cites work: Q3792691

A history and a survey of lattice path enumeration (cites work)
cites work: The enumeration of restricted random walks by Sheffer polynomials with applications to statistics

A history and a survey of lattice path enumeration (cites work)
cites work: Q4862903

A history and a survey of lattice path enumeration (cites work)
cites work: Symmetric Sheffer sequences and their applications to lattice path counting

A history and a survey of lattice path enumeration (cites work)
cites work: Q4353153

A history and a survey of lattice path enumeration (cites work)
cites work: Lattice paths between diagonal boundaries

A history and a survey of lattice path enumeration (cites work)
cites work: Recursive initial value problems for Sheffer sequences

A history and a survey of lattice path enumeration (cites work)
cites work: Generalized Sheffer sequences satisfying piecewise functional conditions

A history and a survey of lattice path enumeration (cites work)
cites work: Catalan traffic at the beach

A history and a survey of lattice path enumeration (cites work)
cites work: Rota's umbral calculus and recursions

A history and a survey of lattice path enumeration (cites work)
cites work: Pattern avoiding ballot paths and finite operator calculus

A history and a survey of lattice path enumeration (cites work)
cites work: The Ballot Problem Revisited

A history and a survey of lattice path enumeration (cites work)
cites work: A divisibility property for a subgroup of Riordan matrices

A history and a survey of lattice path enumeration (cites work)
cites work: Dyck paths with no peaks at height \(k\)

A history and a survey of lattice path enumeration (cites work)
cites work: Q5608722

A history and a survey of lattice path enumeration (cites work)
cites work: Lost (and Found) in Translation: André's Actual Method and Its Application to the Generalized Ballot Problem

A history and a survey of lattice path enumeration (cites work)
cites work: Four Proofs of the Ballot Theorem

A history and a survey of lattice path enumeration (cites work)
cites work: Refined restricted permutations

A history and a survey of lattice path enumeration (cites work)
cites work: Q3922688

A history and a survey of lattice path enumeration (cites work)
cites work: On Lattice Paths with Diagonal Steps

A history and a survey of lattice path enumeration (cites work)
cites work: Some Combinatorial Identities Involving Lattice Paths

A history and a survey of lattice path enumeration (cites work)
cites work: On the foundations of combinatorial theory. VIII: Finite operator calculus

A history and a survey of lattice path enumeration (cites work)
cites work: Counting peaks and valleys in \(k\)-colored Motzkin paths

A history and a survey of lattice path enumeration (cites work)
cites work: Q4207900

A history and a survey of lattice path enumeration (cites work)
cites work: Q2744665

A history and a survey of lattice path enumeration (cites work)
cites work: The Riordan group

A history and a survey of lattice path enumeration (cites work)
cites work: Random walks with absorbing points

A history and a survey of lattice path enumeration (cites work)
cites work: Bootstrap Percolation, the Schröder Numbers, and theN-Kings Problem

A history and a survey of lattice path enumeration (cites work)
cites work: Riordan arrays and combinatorial sums

A history and a survey of lattice path enumeration (cites work)
cites work: Riordan arrays and the Abel-Gould identity

A history and a survey of lattice path enumeration (cites work)
cites work: Q3748279

A history and a survey of lattice path enumeration (cites work)
cites work: Q4236280

A history and a survey of lattice path enumeration (cites work)
cites work: Nonintersecting paths, pfaffians, and plane partitions

A history and a survey of lattice path enumeration (cites work)
cites work: Lattice Paths in E3 With Diagonal Steps

A history and a survey of lattice path enumeration (cites work)
cites work: Q3818385

A history and a survey of lattice path enumeration (cites work)
cites work: Q4309153

A history and a survey of lattice path enumeration (cites work)
cites work: Bijective recurrences concerning Schröder paths

A history and a survey of lattice path enumeration (cites work)
cites work: Catalan path statistics having the Narayana distribution

A history and a survey of lattice path enumeration (cites work)
cites work: Constraint-sensitive Catalan path statistics having the Narayana distribution

A history and a survey of lattice path enumeration (cites work)
cites work: Q4510679

A history and a survey of lattice path enumeration (cites work)
cites work: Counting lattice paths by Narayana polynomials

A history and a survey of lattice path enumeration (cites work)
cites work: Bijective recurrences for Motzkin paths

A history and a survey of lattice path enumeration (cites work)
cites work: Q4483945

A history and a survey of lattice path enumeration (cites work)
cites work: Three dimensional Narayana and Schröder numbers

A history and a survey of lattice path enumeration (cites work)
cites work: Lattice paths not touching a given boundary

A history and a survey of lattice path enumeration (cites work)
cites work: Q5544744

A history and a survey of lattice path enumeration (cites work)
cites work: Q4353158

A history and a survey of lattice path enumeration (cites work)
cites work: Adsorbing staircase walks and staircase polygons

A history and a survey of lattice path enumeration (cites work)
cites work: The Carlitz lattice path polynomials

A history and a survey of lattice path enumeration (cites work)
cites work: The Catalan Numbers, the Lebesgue Integral, and 4 n-2

A history and a survey of lattice path enumeration (DOI)
DOI: 10.1016/J.JSPI.2010.01.020