Advances in Applied Mathematics

Papers
(The median citation count of Advances in Applied Mathematics is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-05-01 to 2026-05-01.)
ArticleCitations
Triangular partitions: Enumeration, structure, and generation28
Editorial Board25
The optimal upper bound on the MP-ratio for quaternary words23
New equalities and inequalities for the ranks and cranks of partitions22
Whitney numbers of rank-metric lattices and code enumeration21
Phase transition of degeneracy in minor-closed families15
Carries and a map on the space of rational functions14
Block-counting sequences are not purely morphic14
Computations versus bijections for tiling enumeration13
A characterization of the star duality mapping12
Supersolvable saturated matroids and chordal graphs10
Off-diagonally symmetric domino tilings of the Aztec diamond of odd order10
Primary decomposition theorem and generalized spectral characterization of graphs9
Polynomial reduction for holonomic sequences and applications in π-series and congruences9
A unified framework to prove multiplicative inequalities for the partition function9
Degeneration in discriminantal arrangements9
Fishburn trees9
Apéry-type series and colored multiple zeta values8
Extended Schur functions and bases related by involutions8
Mixed Berndt-type integrals and generalized Barnes multiple zeta functions8
A direct proof of well-definedness for the polymatroid Tutte polynomial7
Bispectral Jacobi type polynomials7
q-fractional integral operators with two parameters7
Bisecting envelopes of convex polygons7
The pop-stack-sorting operator on Tamari lattices7
Guessing cards with complete feedback7
On the structure of triangle-free 3-connected matroids7
Global positioning: The uniqueness question and a new solution method7
Uniform matrix product states from an algebraic geometer's point of view7
Macdonald polynomials at t = 0 through twisted multiline queues7
Boson operator ordering identities from generalized Stirling and Eulerian numbers7
Proof of a K-theoretic polynomial conjecture of Monical, Pechenik, and Searles6
Editorial Board6
Editorial Board6
On the records and zeros of a deterministic random walk6
Solving combinatorially the monomer-dimer problem on certain fractal scale-free lattices6
Editorial Board6
Minimum numbers of Dehn colors of knots and R6
Convolution formulas for multivariate arithmetic Tutte polynomials6
Editorial Board6
The Orlicz Minkowski problem for the electrostatic p-capacity5
Polynomial perturbations of Euler's and Clausen's identities5
Characterizations of certain matroids by maximizing valuative invariants5
Secretary problem with hidden information; searching for a high merit candidate5
Developments on the Hoffman program of graphs5
Corrigendum to “Alternatives for the q-matroid axioms of independent spaces, bases, and spanning spaces” [Adv. Appl. Math. 153 (2024) 102632]5
On the rigidity of Arnoux-Rauzy words5
Gelfand–Tsetlin-type weight bases for all special linear Lie algebra representations corresponding to skew Schur functions5
The numerical algebraic geometry of bottlenecks5
Triangular recurrences, generalized Eulerian numbers, and related number triangles5
Coconvex characters on collections of phylogenetic trees5
Non-central sections of the l1-ball5
The secretary problem with biased arrival order via a Mallows distribution5
Degenerate r-Whitney numbers and degenerate r-Dowling polynomials via boson operators4
Asymptotic linearity of binomial random hypergraphs via cluster expansion under graph-dependence4
Round Aztec windows, a dual of the Aztec diamond theorem and a curious symmetry of the correlation of diagonal slits4
Truncated theta series from the Bailey lattice4
Extended higher Herglotz functions I. Functional equations4
Letter frequency vs factor frequency in pure morphic words4
Proof of a conjecture about Parrondo's paradox for two-armed slot machines4
Generalized Lucas congruences and linear p-schemes4
A flow to the Orlicz-Minkowski-type problem of p-capacity4
A binary-matroid analogue of a graph connectivity theorem of Jamison and Mulder4
A combinatorial approach to Frobenius numbers of some special sequences4
Identifying circular orders for blobs in phylogenetic networks4
Blossoming bijection for bipartite pointed maps and parametric rationality of general maps of any surface4
q-Type Lidstone expansions and an interpolation problem for entire functions4
Editorial Board4
Further results on r-Euler-Mahonian statistics4
Extremal distance spectral radius of graphs with fixed size4
Influence of the automorphism group of a graph on its PageRank scores of vertices4
Bijections between planar maps and planar linear normal λ-terms with connectivity condition4
Editorial Board4
Structural formulas for a family of matrix valued Laguerre polynomials and applications4
Stable fixed points of combinatorial threshold-linear networks4
Algebraic methods to study the dimension of supersmooth spline spaces4
Proving some conjectures on Kekulé numbers for certain benzenoids by using Chebyshev polynomials4
Moments of permutation statistics and central limit theorems4
Periodic sequences, binomials modulo a prime power, and a math/music application3
Invariants for level-1 phylogenetic networks under the Cavendar-Farris-Neyman model3
q-Super Catalan numbers: Combinatorial identities, generating functions, and Narayana refinements3
A q-analogue of distance matrix of block graphs3
On variation of eigenvalues of birth and death matrices and random walk matrices3
Identifiability of homoscedastic linear structural equation models using algebraic matroids3
An involution on restricted Laguerre histories and its applications3
Editorial Board3
Editorial Board3
Explicit identities on zeta values over imaginary quadratic fields3
On the parameterized complexity of freezing dynamics3
Pre-signed graphs: A reformulation of signed graphs and their embeddings3
Character analogues of Cohen-type identities and related Voronoï summation formulas3
Stereologically adapted Crofton formulae for tensor valuations3
Non-commutative friezes and their determinants, the non-commutative Laurent phenomenon for weak friezes, and frieze gluing3
r-Lah distribution: Properties, limit theorems and an application to compressed sensing3
Generic projections of the H4 configuration of points3
Semi-coarse spaces, homotopy and homology3
Editorial Board3
q-Binomial identities finder3
A bi-Stirling-Euler-Mahonian polynomial3
The gerrymander sequence, or A3484563
Sampling planar tanglegrams and pairs of disjoint triangulations3
On the maximum value of the stairs2 index3
Complete edge-colored permutation graphs3
Minimal invariant regions and minimal globally attracting regions for toric differential inclusions3
Chordal matroids arising from generalized parallel connections3
Poisson limit theorems for the Robinson–Schensted correspondence and for the multi-line Hammersley process2
The generalized q-heat equations for q-3D hypergeometric polynomials with applications to generating functions and Askey–Wilson integrals2
Editorial Board2
Two-block substitutions and morphic words2
Corrigendum to “The edge-product space of phylogenetic trees is not shellable” [Adv. Appl. Math. 135 (2022) 102311]2
Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials2
Infinite families of Hecke-Rogers type series and their truncated representations2
The minimal affine total variation on BV(2
Spectral conditions for k-extendability and k-factors of bipartite graphs2
Editorial Board2
Matroids arising from electrical networks2
q-Rational and q-real binomial coefficients2
Generalized Morse theory of distance functions to surfaces for persistent homology2
On (joint) equidistributions of mesh patterns 123 and 132 with symmetric shadings2
Mixing times of a Burnside process Markov chain on set partitions2
Editorial Board2
Constructing minimal telescopers for rational functions in three discrete variables2
On the strength of chromatic symmetric homology for graphs2
Editorial Board2
Maxima and visibility in involutions2
Block index and integer partitions2
Editorial Board2
Subregularity in infinitely labeled generating trees of restricted permutations2
Total positivity of some polynomial matrices that enumerate labeled trees and forests II. Rooted labeled trees and partial functional digraphs2
Boltzmann distribution on “short” integer partitions with power parts: Limit laws and sampling2
Editorial Board2
Heisenberg models and Schur–Weyl duality2
The measure-comparison problem for polar (p,μ)-centroid bodies2
Dinv, area, and bounce for k2
Statistics of partial permutations via Catalan matrices2
Editorial Board2
Hahn polynomials for hypergeometric distribution2
Toric multivariate Gaussian models from symmetries in a tree2
Bijective enumeration of general stacks2
Certain extensions of results of Siegel, Wilton and Hardy2
Gapfree graphs and powers of edge ideals with linear quotients2
State polytopes related to two classes of combinatorial neural codes2
Difference ascent sequences2
A note on Cauchy's formula2
An analogue of a formula of Popov2
Collectively canalizing Boolean functions2
The symmetric strong circuit elimination property2
Row-strict dual immaculate functions2
Initial values of ML-degree polynomials2
q-Supercongruences from Gasper and Rahman's summation formula2
The maximum number of cycles in a triangular-grid billiards system with a given perimeter2
Representation theory and central limit theorems for traces of commutators for compact Lie groups2
Weak identifiability for differential algebraic systems2
Adjoints of matroids2
Pseudo-cones2
Binary sequences meet the Fibonacci sequence2
Positivity of Narayana polynomials and Eulerian polynomials2
Can a single migrant per generation rescue a dying population?2
Asymptotic weighted approximation of convex functions2
Distribution of new statistics of parking functions and their generalizations2
k-Factorizations of the full cycle and generalized Mahonian statistics on k-forests1
Directed Gaussian graphical models with toric vanishing ideals1
Convergence properties of symmetrization processes1
Counting flows of b-compatible graphs1
Expansion formulas for multiple basic hypergeometric series over root systems1
Clustering and Arnoux-Rauzy words1
Expansions of generalized Thue-Morse numbers1
Dynamics of pop-tsack torsing1
Cancellation of spurious poles in N=4 SYM: Physical and geometric1
Complements of Schubert polynomials1
A Dirichlet character analogue of Ramanujan's formula for odd zeta values1
Combinatorial identities involving degenerate harmonic and hyperharmonic numbers1
R-hulloid of the vertices of a tetrahedron1
A polynomial time algorithm for Sylvester waves when entries are bounded1
On a question about real-rooted polynomials and f-polynomials of simplicial complexes1
A vector bundle approach to Nash equilibria1
The entropy of the radical ideal of a tropical curve1
Generating functions of multiple t-star values of general level1
Euclidean distance degree and limit points in a Morsification1
Editorial Board1
Chordal graphs with bounded tree-width1
An affine isoperimetric inequality for log-concave functions1
Rota's basis conjecture for matroids with density close to one1
Reflection positivity via Krein space analysis1
Ricci curvature of Bruhat orders1
Applications of multiple orthogonal polynomials with hypergeometric moment generating functions1
Further extensions of Haglund-Remmel-Wilson identity1
A result for hemi-bundled cross-intersecting families1
Representation theorems for simplicial complexes and matroidal-like properties of minimal partitioners1
On the recursive and explicit form of the general J.C.P. Miller formula with applications1
Graph universal cycles: Compression and connections to universal cycles1
Rowmotion Markov chains1
Non-intersecting path explanation for block Pfaffians and applications into skew-orthogonal polynomials1
k-Codimensional projection bodies1
Representations of degenerate Hermite polynomials1
Hypercubes and Hamilton cycles of display sets of rooted phylogenetic networks1
Metrics for classes of semi-binary phylogenetic networks using μ-representations1
Connectivity gaps among matroids with the same enumerative invariants1
Fully graphic degree sequences and P-stable degree sequences1
Decomposing conditional independence ideals with hidden variables1
Enumerative and distributional results for d-combining tree-child networks1
Editorial Board1
Computing triple and double Hurwitz numbers involving a branch point with a two-part profile1
Betti numbers and torsions in homology groups of double coverings1
Algebraic geometry of quantum graphical models1
Bijections on pattern avoiding inversion sequences and related objects1
Ehrhart polynomials of rank two matroids1
Inequalities for the overpartition function arising from determinants1
Editorial Board1
The distributions under two species-tree models of the total number of ancestral configurations for matching gene trees and species trees1
On the joint distributions of succession and Eulerian statistics1
Refining a chain theorem from matroids to internally 4-connected graphs1
Recursive properties of the characteristic polynomial of weighted lattices1
A Whitney polynomial for hypermaps1
Properties arising from Laguerre-Pólya class for the Boros-Moll numbers1
Zeros distribution of the reverse strong Turán expressions of polynomials sequences1
Formulas and conjectures for partitions with restrictions on interval of parts1
Invariant differential derivations for reflection groups in positive characteristic1
Equivalence classes of lower and upper descent weak Bruhat intervals1
On semilinear sets and asymptotic approximate groups1
q-supercongruences for truncated q-Appell series1
On the moments of moments of random matrices and Ehrhart polynomials1
On subspace concentration for dual curvature measures1
Hamiltonian paths, unit-interval complexes, and determinantal facet ideals1
Capacity bounds on integral flows and the Kostant partition function1
Cookie cutters: Bisections with fixed shapes1
Algebraic network reconstruction of discrete dynamical systems1
Sign changes of coefficients of powers of the infinite Borwein product1
The fundamental group in discrete homotopy theory1
Some interlacing properties related to the Eulerian and derangement polynomials1
Fan-complete Ramsey numbers1
Editorial Board1
Some remarks on permanental dominance conjecture1
On the complexity of analyticity in semi-definite optimization1
Topological invariants for words of linear factor complexity1
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