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 2021-07-01 to 2025-07-01.)
ArticleCitations
New equalities and inequalities for the ranks and cranks of partitions22
Triangular partitions: Enumeration, structure, and generation21
A characterization of the star duality mapping18
Carries and a map on the space of rational functions17
A unified framework to prove multiplicative inequalities for the partition function15
Polynomial reduction for holonomic sequences and applications in π-series and congruences14
Computations versus bijections for tiling enumeration12
Phase transition of degeneracy in minor-closed families11
SL(2) intertwining Minkowski valuations in the plane10
Editorial Board9
Fishburn trees9
The edge-product space of phylogenetic trees is not shellable9
Block-counting sequences are not purely morphic9
Supersolvable saturated matroids and chordal graphs8
Global positioning: The uniqueness question and a new solution method8
Extended Schur functions and bases related by involutions8
Boson operator ordering identities from generalized Stirling and Eulerian numbers8
Off-diagonally symmetric domino tilings of the Aztec diamond of odd order8
The pop-stack-sorting operator on Tamari lattices7
Computing differential Galois groups of second-order linear q-difference equations7
Guessing cards with complete feedback7
Surface area deviation between smooth convex bodies and polytopes7
Uniform matrix product states from an algebraic geometer's point of view7
A direct proof of well-definedness for the polymatroid Tutte polynomial6
Editorial Board6
q-fractional integral operators with two parameters6
Bisecting envelopes of convex polygons6
Bispectral Jacobi type polynomials6
Editorial Board6
Stack-sorting with consecutive-pattern-avoiding stacks6
Apéry-type series and colored multiple zeta values6
On the structure of triangle-free 3-connected matroids6
MacMahon's equidistribution theorem for k-Stirling permutations6
Editorial Board5
Solving combinatorially the monomer-dimer problem on certain fractal scale-free lattices5
Strict monotonic trees arising from evolutionary processes: Combinatorial and probabilistic study5
Combinatorially equivalent hyperplane arrangements5
The secretary problem with biased arrival order via a Mallows distribution5
On a theorem concerning partially overlapping subpalindromes of a binary word5
A unifying characterization of tree-based networks and orchard networks using cherry covers5
Editorial Board5
Triangular recurrences, generalized Eulerian numbers, and related number triangles4
Generalized Lucas congruences and linear p-schemes4
Discrete quantitative Helly-type theorems with boxes4
Gelfand–Tsetlin-type weight bases for all special linear Lie algebra representations corresponding to skew Schur functions4
Convolution formulas for multivariate arithmetic Tutte polynomials4
The numerical algebraic geometry of bottlenecks4
Non-central sections of the l1-ball4
Moments of permutation statistics and central limit theorems4
Proving some conjectures on Kekulé numbers for certain benzenoids by using Chebyshev polynomials4
Influence of the automorphism group of a graph on its PageRank scores of vertices4
Signed Mahonian on parabolic quotients of colored permutation groups4
The Orlicz Minkowski problem for the electrostaticp-capacity4
Degenerate r-Whitney numbers and degenerate r-Dowling polynomials via boson operators4
Geometric and probabilistic limit theorems in topological data analysis4
Further results on r-Euler-Mahonian statistics4
Secretary problem with hidden information; searching for a high merit candidate4
Corrigendum to “Alternatives for the q-matroid axioms of independent spaces, bases, and spanning spaces” [Adv. Appl. Math. 153 (2024) 102632]4
Letter frequency vs factor frequency in pure morphic words3
A binary-matroid analogue of a graph connectivity theorem of Jamison and Mulder3
On non-minimal complements3
Bijections between planar maps and planar linear normal λ-terms with connectivity condition3
Editorial Board3
On the parameterized complexity of freezing dynamics3
Editorial Board3
On the moments of normal distributions and numbers of standard Young tableaux3
Identifying circular orders for blobs in phylogenetic networks3
A flow to the Orlicz-Minkowski-type problem of p-capacity3
Editorial Board3
Eigenvalues and clique partitions of graphs3
Blossoming bijection for bipartite pointed maps and parametric rationality of general maps of any surface3
q-Deformations in the modular group and of the real quadratic irrational numbers3
Extended higher Herglotz functions I. Functional equations3
A combinatorial approach to Frobenius numbers of some special sequences3
Explicit identities on zeta values over imaginary quadratic fields3
Truncated theta series from the Bailey lattice3
Algebraic methods to study the dimension of supersmooth spline spaces3
q-Type Lidstone expansions and an interpolation problem for entire functions3
Chordal matroids arising from generalized parallel connections3
Proof of a conjecture about Parrondo's paradox for two-armed slot machines3
Structural formulas for a family of matrix valued Laguerre polynomials and applications3
Asymptotic linearity of binomial random hypergraphs via cluster expansion under graph-dependence3
An involution on restricted Laguerre histories and its applications3
Generic projections of the H4 configuration of points3
r-Lah distribution: Properties, limit theorems and an application to compressed sensing3
Bijections on r-Shi and r-Catalan arrangements3
Stable fixed points of combinatorial threshold-linear networks3
Editorial Board3
Sampling planar tanglegrams and pairs of disjoint triangulations2
Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials2
Singularities of algebraic differential equations2
Two-block substitutions and morphic words2
Minimal invariant regions and minimal globally attracting regions for toric differential inclusions2
Identities, inequalities and congruences for odd ranks and k-marked odd Durfee symbols2
Constructing minimal telescopers for rational functions in three discrete variables2
Invariants for level-1 phylogenetic networks under the Cavendar-Farris-Neyman model2
Corrigendum to “The edge-product space of phylogenetic trees is not shellable” [Adv. Appl. Math. 135 (2022) 102311]2
Certain extensions of results of Siegel, Wilton and Hardy2
q-Supercongruences from Gasper and Rahman's summation formula2
Editorial Board2
Identifiability of linear compartmental models: The singular locus2
Heisenberg models and Schur–Weyl duality2
On (joint) equidistributions of mesh patterns 123 and 132 with symmetric shadings2
Weak identifiability for differential algebraic systems2
The measure-comparison problem for polar (p,μ)-centroid bodies2
Character analogues of Cohen-type identities and related Voronoï summation formulas2
DP color functions versus chromatic polynomials2
On variation of eigenvalues of birth and death matrices and random walk matrices2
The minimal affine total variation onBV(2
Complete edge-colored permutation graphs2
Initial values of ML-degree polynomials2
Semi-coarse spaces, homotopy and homology2
The gerrymander sequence, or A3484562
Dinv, area, and bounce for k2
Pseudo-cones2
Editorial Board2
On the strength of chromatic symmetric homology for graphs2
q-Rational and q-real binomial coefficients2
Infinite families of Hecke-Rogers type series and their truncated representations2
Boltzmann distribution on “short” integer partitions with power parts: Limit laws and sampling2
Generalized Morse theory of distance functions to surfaces for persistent homology2
Difference ascent sequences2
Statistics of partial permutations via Catalan matrices2
Can a single migrant per generation rescue a dying population?2
On contact loci of hyperplane arrangements2
Identifiability of homoscedastic linear structural equation models using algebraic matroids2
Subregularity in infinitely labeled generating trees of restricted permutations2
Editorial Board2
Adjoints of matroids2
Periodic sequences, binomials modulo a prime power, and a math/music application2
Cyclic pattern containment and avoidance2
The maximum number of cycles in a triangular-grid billiards system with a given perimeter2
Hahn polynomials for hypergeometric distribution2
Stereologically adapted Crofton formulae for tensor valuations2
Editorial Board2
Matroids arising from electrical networks2
Bijective enumeration of general stacks2
Row-strict dual immaculate functions2
A q-analogue of distance matrix of block graphs2
Positivity of Narayana polynomials and Eulerian polynomials2
On the maximum value of the stairs2 index2
Collectively canalizing Boolean functions2
Sign changes of coefficients of powers of the infinite Borwein product1
Editorial Board1
Editorial Board1
On the recursive and explicit form of the general J.C.P. Miller formula with applications1
Editorial Board1
Chordal graphs with bounded tree-width1
On subspace concentration for dual curvature measures1
Applications of multiple orthogonal polynomials with hypergeometric moment generating functions1
On the joint distributions of succession and Eulerian statistics1
Rota's basis conjecture for matroids with density close to one1
The fundamental group in discrete homotopy theory1
Ricci curvature of Bruhat orders1
Non-intersecting path explanation for block Pfaffians and applications into skew-orthogonal polynomials1
Betti numbers and torsions in homology groups of double coverings1
Ehrhart polynomials of rank two matroids1
Directed Gaussian graphical models with toric vanishing ideals1
A versatile combinatorial approach of studying products of long cycles in symmetric groups1
Reflection positivity via Krein space analysis1
Euclidean distance degree and limit points in a Morsification1
Enumerative and distributional results for d-combining tree-child networks1
Graph universal cycles: Compression and connections to universal cycles1
Combinatorial identities involving degenerate harmonic and hyperharmonic numbers1
Parking function varieties for combinatorial tree models1
A Dirichlet character analogue of Ramanujan's formula for odd zeta values1
Rowmotion Markov chains1
Asymptotics of degrees and ED degrees of Segre products1
Cancellation of spurious poles in N=4 SYM: Physical and geometric1
Counting flows of b-compatible graphs1
A note on Cauchy's formula1
Bijections on pattern avoiding inversion sequences and related objects1
Total positivity of some polynomial matrices that enumerate labeled trees and forests II. Rooted labeled trees and partial functional digraphs1
State polytopes related to two classes of combinatorial neural codes1
Topological invariants for words of linear factor complexity1
Maxima and visibility in involutions1
Computing triple and double Hurwitz numbers involving a branch point with a two-part profile1
Friezes, weak friezes, and T-paths1
Convergence properties of symmetrization processes1
k-Factorizations of the full cycle and generalized Mahonian statistics on k-forests1
On the moments of moments of random matrices and Ehrhart polynomials1
Clustering and Arnoux-Rauzy words1
Extended chromatic symmetric functions and equality of ribbon Schur functions1
k-Codimensional projection bodies1
Editorial Board1
Representations of degenerate Hermite polynomials1
Enumeration of coalescent histories for caterpillar species trees and p-pseudocaterpillar gene trees1
Randomized sequential importance sampling for estimating the number of perfect matchings in bipartite graphs1
The distributions under two species-tree models of the total number of ancestral configurations for matching gene trees and species trees1
Complements of Schubert polynomials1
Prism permutations in the Bruhat order1
On semilinear sets and asymptotic approximate groups1
Representation theorems for simplicial complexes and matroidal-like properties of minimal partitioners1
Invariant differential derivations for reflection groups in positive characteristic1
Some interlacing properties related to the Eulerian and derangement polynomials1
The functional form of the dual mixed volume1
Expansion formulas for multiple basic hypergeometric series over root systems1
The entropy of the radical ideal of a tropical curve1
Editorial Board1
Hamiltonian paths, unit-interval complexes, and determinantal facet ideals1
Poisson limit theorems for the Robinson–Schensted correspondence and for the multi-line Hammersley process1
Editorial Board1
On the L torsional Minkowski problem for 0 < p < 11
Generating functions of multiple t-star values of general level1
Inequalities for the overpartition function arising from determinants1
Fully graphic degree sequences and P-stable degree sequences1
Refining a chain theorem from matroids to internally 4-connected graphs1
Some remarks on permanental dominance conjecture1
On the complexity of analyticity in semi-definite optimization1
Asymptotically optimal matrix codes with Hamming and rank distances1
Further extensions of Haglund-Remmel-Wilson identity1
On the q-Dyson orthogonality problem1
Properties arising from Laguerre-Pólya class for the Boros-Moll numbers1
Zeros distribution of the reverse strong Turán expressions of polynomials sequences1
Binary search trees of permuton samples1
Connectivity gaps among matroids with the same enumerative invariants1
Dynamics of pop-tsack torsing1
An optimal algorithm for stopping on the element closest to the center of an interval1
Expansions of generalized Thue-Morse numbers1
Algebraic network reconstruction of discrete dynamical systems1
Hypercubes and Hamilton cycles of display sets of rooted phylogenetic networks1
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