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 2021-10-01 to 2025-10-01.)
ArticleCitations
Triangular partitions: Enumeration, structure, and generation24
A characterization of the star duality mapping24
A unified framework to prove multiplicative inequalities for the partition function20
Carries and a map on the space of rational functions20
Polynomial reduction for holonomic sequences and applications in π-series and congruences18
Computations versus bijections for tiling enumeration12
Editorial Board11
Extended Schur functions and bases related by involutions11
Off-diagonally symmetric domino tilings of the Aztec diamond of odd order11
Primary decomposition theorem and generalized spectral characterization of graphs9
The edge-product space of phylogenetic trees is not shellable9
Block-counting sequences are not purely morphic9
Phase transition of degeneracy in minor-closed families8
New equalities and inequalities for the ranks and cranks of partitions8
Supersolvable saturated matroids and chordal graphs8
Fishburn trees8
Uniform matrix product states from an algebraic geometer's point of view7
Global positioning: The uniqueness question and a new solution method7
A direct proof of well-definedness for the polymatroid Tutte polynomial7
Bispectral Jacobi type polynomials7
Apéry-type series and colored multiple zeta values7
Computing differential Galois groups of second-order linear q-difference equations7
Bisecting envelopes of convex polygons6
q-fractional integral operators with two parameters6
On the structure of triangle-free 3-connected matroids6
The pop-stack-sorting operator on Tamari lattices6
Guessing cards with complete feedback6
Editorial Board6
Editorial Board6
Boson operator ordering identities from generalized Stirling and Eulerian numbers6
Editorial Board6
Solving combinatorially the monomer-dimer problem on certain fractal scale-free lattices6
The secretary problem with biased arrival order via a Mallows distribution5
On the rigidity of Arnoux-Rauzy words5
Corrigendum to “Alternatives for the q-matroid axioms of independent spaces, bases, and spanning spaces” [Adv. Appl. Math. 153 (2024) 102632]5
Strict monotonic trees arising from evolutionary processes: Combinatorial and probabilistic study5
Editorial Board5
The numerical algebraic geometry of bottlenecks5
On a theorem concerning partially overlapping subpalindromes of a binary word5
Convolution formulas for multivariate arithmetic Tutte polynomials5
Developments on the Hoffman program of graphs5
The Orlicz Minkowski problem for the electrostaticp-capacity4
Secretary problem with hidden information; searching for a high merit candidate4
Further results on r-Euler-Mahonian statistics4
Degenerate r-Whitney numbers and degenerate r-Dowling polynomials via boson operators4
q-Type Lidstone expansions and an interpolation problem for entire functions4
Triangular recurrences, generalized Eulerian numbers, and related number triangles4
Non-central sections of the l1-ball4
Geometric and probabilistic limit theorems in topological data analysis4
Gelfand–Tsetlin-type weight bases for all special linear Lie algebra representations corresponding to skew Schur functions4
Structural formulas for a family of matrix valued Laguerre polynomials and applications4
Influence of the automorphism group of a graph on its PageRank scores of vertices4
Signed Mahonian on parabolic quotients of colored permutation groups4
Generalized Lucas congruences and linear p-schemes4
Proving some conjectures on Kekulé numbers for certain benzenoids by using Chebyshev polynomials4
Moments of permutation statistics and central limit theorems4
Letter frequency vs factor frequency in pure morphic words4
Proof of a conjecture about Parrondo's paradox for two-armed slot machines4
A q-analogue of distance matrix of block graphs3
Complete edge-colored permutation graphs3
Explicit identities on zeta values over imaginary quadratic fields3
On the parameterized complexity of freezing dynamics3
Invariants for level-1 phylogenetic networks under the Cavendar-Farris-Neyman model3
Editorial Board3
Chordal matroids arising from generalized parallel connections3
Blossoming bijection for bipartite pointed maps and parametric rationality of general maps of any surface3
Asymptotic linearity of binomial random hypergraphs via cluster expansion under graph-dependence3
A combinatorial approach to Frobenius numbers of some special sequences3
Editorial Board3
On the maximum value of the stairs2 index3
Character analogues of Cohen-type identities and related Voronoï summation formulas3
Semi-coarse spaces, homotopy and homology3
r-Lah distribution: Properties, limit theorems and an application to compressed sensing3
A flow to the Orlicz-Minkowski-type problem of p-capacity3
Identifying circular orders for blobs in phylogenetic networks3
Truncated theta series from the Bailey lattice3
A binary-matroid analogue of a graph connectivity theorem of Jamison and Mulder3
Bijections between planar maps and planar linear normal λ-terms with connectivity condition3
Minimal invariant regions and minimal globally attracting regions for toric differential inclusions3
q-Super Catalan numbers: Combinatorial identities, generating functions, and Narayana refinements3
Identifiability of homoscedastic linear structural equation models using algebraic matroids3
An involution on restricted Laguerre histories and its applications3
Periodic sequences, binomials modulo a prime power, and a math/music application3
Generic projections of the H4 configuration of points3
Extended higher Herglotz functions I. Functional equations3
Stable fixed points of combinatorial threshold-linear networks3
Algebraic methods to study the dimension of supersmooth spline spaces3
Editorial Board3
Editorial Board3
Singularities of algebraic differential equations3
Hahn polynomials for hypergeometric distribution2
Editorial Board2
q-Rational and q-real binomial coefficients2
Maxima and visibility in involutions2
On contact loci of hyperplane arrangements2
Total positivity of some polynomial matrices that enumerate labeled trees and forests II. Rooted labeled trees and partial functional digraphs2
Initial values of ML-degree polynomials2
Infinite families of Hecke-Rogers type series and their truncated representations2
Constructing minimal telescopers for rational functions in three discrete variables2
Identities, inequalities and congruences for odd ranks and k-marked odd Durfee symbols2
The maximum number of cycles in a triangular-grid billiards system with a given perimeter2
Matroids arising from electrical networks2
Pseudo-cones2
Difference ascent sequences2
q-Supercongruences from Gasper and Rahman's summation formula2
Sampling planar tanglegrams and pairs of disjoint triangulations2
On variation of eigenvalues of birth and death matrices and random walk matrices2
Collectively canalizing Boolean functions2
A note on Cauchy's formula2
Weak identifiability for differential algebraic systems2
Editorial Board2
Editorial Board2
Poisson limit theorems for the Robinson–Schensted correspondence and for the multi-line Hammersley process2
The minimal affine total variation onBV(2
Corrigendum to “The edge-product space of phylogenetic trees is not shellable” [Adv. Appl. Math. 135 (2022) 102311]2
Dinv, area, and bounce for k2
A polynomial time algorithm for Sylvester waves when entries are bounded2
Heisenberg models and Schur–Weyl duality2
Adjoints of matroids2
Boltzmann distribution on “short” integer partitions with power parts: Limit laws and sampling2
On (joint) equidistributions of mesh patterns 123 and 132 with symmetric shadings2
The measure-comparison problem for polar (p,μ)-centroid bodies2
Can a single migrant per generation rescue a dying population?2
Stereologically adapted Crofton formulae for tensor valuations2
Two-block substitutions and morphic words2
Positivity of Narayana polynomials and Eulerian polynomials2
On subspace concentration for dual curvature measures2
Editorial Board2
Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials2
Cyclic pattern containment and avoidance2
State polytopes related to two classes of combinatorial neural codes2
Subregularity in infinitely labeled generating trees of restricted permutations2
On the strength of chromatic symmetric homology for graphs2
DP color functions versus chromatic polynomials2
Row-strict dual immaculate functions2
Editorial Board2
Statistics of partial permutations via Catalan matrices2
Generalized Morse theory of distance functions to surfaces for persistent homology2
Bijective enumeration of general stacks2
Identifiability of linear compartmental models: The singular locus2
The gerrymander sequence, or A3484562
Certain extensions of results of Siegel, Wilton and Hardy2
Binary sequences meet the Fibonacci sequence2
Minimal skew semistandard tableaux and the Hillman–Grassl correspondence1
Rota's basis conjecture for matroids with density close to one1
Further extensions of Haglund-Remmel-Wilson identity1
Representation theorems for simplicial complexes and matroidal-like properties of minimal partitioners1
Complements of Schubert polynomials1
Counting flows of b-compatible graphs1
Representations of degenerate Hermite polynomials1
Rowmotion Markov chains1
The distributions under two species-tree models of the total number of ancestral configurations for matching gene trees and species trees1
Asymptotically optimal matrix codes with Hamming and rank distances1
Reflection positivity via Krein space analysis1
Prism permutations in the Bruhat order1
Euclidean distance degree and limit points in a Morsification1
New refinements of Narayana polynomials and Motzkin polynomials1
Ricci curvature of Bruhat orders1
Clustering and Arnoux-Rauzy words1
The fundamental group in discrete homotopy theory1
Non-intersecting path explanation for block Pfaffians and applications into skew-orthogonal polynomials1
Inequalities for the overpartition function arising from determinants1
Refining a chain theorem from matroids to internally 4-connected graphs1
Friezes, weak friezes, and T-paths1
Betti numbers and torsions in homology groups of double coverings1
The entropy of the radical ideal of a tropical curve1
Hamiltonian paths, unit-interval complexes, and determinantal facet ideals1
On semilinear sets and asymptotic approximate groups1
Editorial Board1
A Dirichlet character analogue of Ramanujan's formula for odd zeta values1
Topological invariants for words of linear factor complexity1
Equivalence classes of lower and upper descent weak Bruhat intervals1
On the recursive and explicit form of the general J.C.P. Miller formula with applications1
Invariant differential derivations for reflection groups in positive characteristic1
Enumerative and distributional results for d-combining tree-child networks1
Expansion formulas for multiple basic hypergeometric series over root systems1
A versatile combinatorial approach of studying products of long cycles in symmetric groups1
Algebraic geometry of quantum graphical models1
Chordal graphs with bounded tree-width1
On the joint distributions of succession and Eulerian statistics1
Classifying one-dimensional discrete models with maximum likelihood degree one1
On the complexity of analyticity in semi-definite optimization1
Automatic sequences and the Glaisher–Kinkelin constant1
The functional form of the dual mixed volume1
Algebraic network reconstruction of discrete dynamical systems1
Editorial Board1
Some interlacing properties related to the Eulerian and derangement polynomials1
On the moments of moments of random matrices and Ehrhart polynomials1
Computing triple and double Hurwitz numbers involving a branch point with a two-part profile1
Zeros distribution of the reverse strong Turán expressions of polynomials sequences1
Bijections on pattern avoiding inversion sequences and related objects1
Editorial Board1
Connectivity gaps among matroids with the same enumerative invariants1
Convergence properties of symmetrization processes1
k-Factorizations of the full cycle and generalized Mahonian statistics on k-forests1
Properties arising from Laguerre-Pólya class for the Boros-Moll numbers1
Binary search trees of permuton samples1
Cancellation of spurious poles in N=4 SYM: Physical and geometric1
Expansions of generalized Thue-Morse numbers1
Graph universal cycles: Compression and connections to universal cycles1
A result for hemi-bundled cross-intersecting families1
Randomized sequential importance sampling for estimating the number of perfect matchings in bipartite graphs1
Ehrhart polynomials of rank two matroids1
Rank axiom of modular supermatroids: A connection with directional DR submodular functions1
Fully graphic degree sequences and P-stable degree sequences1
Combinatorial identities involving degenerate harmonic and hyperharmonic numbers1
Directed Gaussian graphical models with toric vanishing ideals1
Dynamics of pop-tsack torsing1
Editorial Board1
Generating functions of multiple t-star values of general level1
Hypercubes and Hamilton cycles of display sets of rooted phylogenetic networks1
Applications of multiple orthogonal polynomials with hypergeometric moment generating functions1
Some remarks on permanental dominance conjecture1
Sign changes of coefficients of powers of the infinite Borwein product1
k-Codimensional projection bodies1
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