Advances in Applied Mathematics

Article	Citations
Congruences on sums of q-binomial coefficients	75
q-Supercongruences modulo the fourth power of a cyclotomic polynomial via creative microscoping	38
Proof of a generalization of the (B.2) supercongruence of Van Hamme through a q-microscope	17
Degenerate r-Whitney numbers and degenerate r-Dowling polynomials via boson operators	17
Representations of degenerate Hermite polynomials	15
Spectral determinations and eccentricity matrix of graphs	13
Combinatorial identities involving degenerate harmonic and hyperharmonic numbers	12
On the chromatic polynomial and counting DP-colorings of graphs	10
Weakly increasing trees on a multiset	10
q-Deformations in the modular group and of the real quadratic irrational numbers	9
q-Supercongruences from Gasper and Rahman's summation formula	9
Lie algebras of matrix difference differential operators and special matrix functions	8
A unifying characterization of tree-based networks and orchard networks using cherry covers	8
Defect of Euclidean distance degree	7
Eulerian polynomials and excedance statistics	7
The number of spanning trees of the Bruhat graph	7
Constructing minimal telescopers for rational functions in three discrete variables	7
The Kazhdan-Lusztig polynomials of uniform matroids	7
Shellability of face posets of electrical networks and the CW poset property	7
MacMahon's equidistribution theorem for k-Stirling permutations	7
Reconstructibility of unrooted level-k phylogenetic networks from distances	6
Meeting covered elements in ν-Tamari lattices	6
Permanental generating functions and sequential importance sampling	6
The Orlicz Minkowski problem for the electrostaticp-capacity	6
Laguerre inequalities for discrete sequences	6

On random stable matchings: Cyclic ones with strict preferences and two-sided ones with partially ordered preferences	5
Arithmetic properties of odd ranks and k-marked odd Durfee symbols	5
Some relatives of the Catalan sequence	5
The sharp affine L2 Sobolev trace inequality and affine energy in the fractional Sobolev spaces	5
Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions	5
Lattice bijections for string modules, snake graphs and the weak Bruhat order	5
Some structural results on D -finite functions	5
Eigenvalues and clique partitions of graphs	5
Cambrian combinatorics on quiver representations (type A)	5
Univoque bases of real numbers: Local dimension, Devil's staircase and isolated points	5
Ehrhart polynomials of rank two matroids	5
Stieltjes moment properties and continued fractions from combinatorial triangles	5
Some new mock theta functions	5
Phase retrieval from the norms of affine transformations	5
The (s,s + d,…,s + pd)-core partitions and the rational Motzkin paths	5
The pop-stack-sorting operator on Tamari lattices	5
The free tangent law	4
Asymptotics of degrees and ED degrees of Segre products	4
Horizontal visibility graph of a random restricted growth sequence	4
Explicit relations between multiple zeta values and related variants	4
Toric geometry of the Cavender-Farris-Neyman model with a molecular clock	4
Replica symmetry in upper tails of mean-field hypergraphs	4
An asymptotic thin shell condition and large deviations for random multidimensional projections	4
The runsort permuton	4
Freezing sandpiles and Boolean threshold networks: Equivalence and complexity	4
Extended chromatic symmetric functions and equality of ribbon Schur functions	4
Weight enumerators for nonbinary asymmetric quantum codes and their applications	4
A note on the extremal non-central sections of the cross-polytope	4
Graph universal cycles of combinatorial objects	4
On extensions of the Loomis-Whitney inequality and Ball's inequality for concave, homogeneous measures	4
New invariants for permutations, orders and graphs	4
Infinite families of Hecke-Rogers type series and their truncated representations	4
A context-free grammar for the Ramanujan-Shor polynomials	4
DP color functions versus chromatic polynomials	4
Stack-sorting with consecutive-pattern-avoiding stacks	4
Bisecting envelopes of convex polygons	4
Complex L affine isoperimetric inequalities	4
On Motzkin numbers and central trinomial coefficients	4
Curved foldings with common creases and crease patterns	3
Frame matroids, toric ideals, and a conjecture of White	3
Enumeration of coalescent histories for caterpillar species trees and p-pseudocaterpillar gene trees	3
Further bijections to pattern-avoiding valid hook configurations	3
Learning algebraic decompositions using Prony structures	3
Encoding and ordering X-cactuses	3
Eulerian polynomials for subarrangements of Weyl arrangements	3
Computing differential Galois groups of second-order linear q-difference equations	3
Friezes, weak friezes, and T-paths	3
A new capacity for the affine bounded variation	3
Spectra of twists of Cayley and Cayley sum graphs	3
Avoiding abelian powers cyclically	3

Congruences for Andrews-Beck partition statistics modulo powers of primes	3
Generalized Lucas congruences and linear p-schemes	3
Riordan array approach to Lagrange inversion formulas and Chung-Feller theory	3
Cyclic flats of binary matroids	3
Further extensions of Haglund-Remmel-Wilson identity	3
Singularities of algebraic differential equations	3
On the L torsional Minkowski problem for 0 < p < 1	3
On the number of k-powers in a finite word	3
q-Type Lidstone expansions and an interpolation problem for entire functions	3
Finite size corrections relating to distributions of the length of longest increasing subsequences	3
Row-strict dual immaculate functions	3
Chromatic aberration in metalenses	3
Permutations avoiding 312 and another pattern, Chebyshev polynomials and longest increasing subsequences	3
Dualities and endomorphisms of pseudo-cones	3
Multiple orthogonal polynomials associated with branched continued fractions for ratios of hypergeometric series	3
Delta-matroids as subsystems of sequences of Higgs lifts	3
Restricted intersecting families on simplicial complex	2
Collectively canalizing Boolean functions	2
Analytic combinatorics of coordination numbers of cubic lattices	2
Toric geometry of path signature varieties	2
Twist polynomials of delta-matroids	2
(q,c)-Derivative operator and its applications	2
Quasi-Stirling polynomials on multisets	2
Blossoming bijection for bipartite pointed maps and parametric rationality of general maps of any surface	2
Combinatorially equivalent hyperplane arrangements	2
On the automorphism group of the Morse complex	2
New families of mock theta functions and partial fraction decomposition	2
A versatile combinatorial approach of studying products of long cycles in symmetric groups	2
Conditional independence ideals with hidden variables	2
Using edge generating function to solve monomer-dimer problem	2
On the q-Dyson orthogonality problem	2
Geometric and probabilistic limit theorems in topological data analysis	2
On the Markov numbers: Fixed numerator, denominator, and sum conjectures	2
On the ordering of the Markov numbers	2
The secretary problem with biased arrival order via a Mallows distribution	2
Set-valued Rothe tableaux and Grothendieck polynomials	2
Pattern avoidance of [4,k]-pairs in circular permutations	2
Multivariate central limit theorems for random simplicial complexes	2
Thin-shell concentration for zero cells of stationary Poisson mosaics	2
Cycle structure of random parking functions	2
Factorization of KdV Schrödinger operators using differential subresultants	2
A complete characterization of graphs with exactly two positive eigenvalues	2
Complete edge-colored permutation graphs	2
Identities, inequalities and congruences for odd ranks and k-marked odd Durfee symbols	2
Tropical recurrent sequences	2
Randomized sequential importance sampling for estimating the number of perfect matchings in bipartite graphs	2
Supersolvable saturated matroids and chordal graphs	2
Discrete quantitative Helly-type theorems with boxes	2
Interval parking functions	2
Hamiltonian paths, unit-interval complexes, and determinantal facet ideals	2
The numerical algebraic geometry of bottlenecks	2
On the dimension of systems of algebraic difference equations	2
Expansion formulas for multiple basic hypergeometric series over root systems	2
Extended higher Herglotz functions I. Functional equations	2
Parking function varieties for combinatorial tree models	2
Multiple codings of self-similar sets with overlaps	2
Guessing cards with complete feedback	2
On the strength of chromatic symmetric homology for graphs	2
Entropy compression versus Lovász Local Lemma	2
Hahn polynomials for hypergeometric distribution	2
Minimal invariant regions and minimal globally attracting regions for toric differential inclusions	2
Gelfand–Tsetlin-type weight bases for all special linear Lie algebra representations corresponding to skew Schur functions	2
Hopf algebras of m-permutations, (m + 1)-ary trees, and m-parking functions	2
Combinatorial views on persistent characters in phylogenetics	1
On Stanley-Wilf limit of the pattern 1324	1
The steady-state degree and mixed volume of a chemical reaction network	1
The AFLT q-Morris constant term identity	1
Combinatorial perspectives on Dollo-k characters in phylogenetics	1
On the moments of normal distributions and numbers of standard Young tableaux	1
Moments of permutation statistics and central limit theorems	1
Strict monotonic trees arising from evolutionary processes: Combinatorial and probabilistic study	1
On graphic arrangement groups	1
Identifiability of linear compartmental models: The singular locus	1
Exact solutions in log-concave maximum likelihood estimation	1
Regularity lemmas for clustering graphs	1
Asymptotically optimal matrix codes with Hamming and rank distances	1
Quasi-equivalence of heights in algebraic function fields of one variable	1
Some results related to Hurwitz stability of combinatorial polynomials	1
Heisenberg models and Schur–Weyl duality	1
Solving combinatorially the monomer-dimer problem on certain fractal scale-free lattices	1

(M,i)-multiset Eulerian polynomials	1
Descent distribution on Catalan words avoiding ordered pairs of relations	1
The carry propagation of the successor function	1
Equidistribution of set-valued statistics on standard Young tableaux and transversals	1
Sign changes of coefficients of powers of the infinite Borwein product	1
Modular proofs of Gosper's identities	1
Character analogues of Cohen-type identities and related Voronoï summation formulas	1
Truncated sums for Hecke-Rogers type identities and Andrews-Hickerson's Bailey pair	1
Surface area deviation between smooth convex bodies and polytopes	1
On the complexity of generalized Q2R automaton	1
Fibonacci numbers, consecutive patterns, and inverse peaks	1
The image of the pop operator on various lattices	1
Phase transition of degeneracy in minor-closed families	1
Convex bodies generated by sublinear expectations of random vectors	1
Ricci curvature of Bruhat orders	1
Statistics of partial permutations via Catalan matrices	1
Realisations of Racah algebras using Jacobi operators and convolution identities	1
Equidistributions of mesh patterns of length two and Kitaev and Zhang's conjectures	1
Connection relations for q-Taylor polynomial bases	1
Convergence properties of symmetrization processes	1
Alternating sign hypermatrix decompositions of Latin-like squares	1
Stability of the isodiametric problem on the sphere and in the hyperbolic space	1
Algebraic voting theory & representations of S≀S	1
Martingales and descent statistics	1
Triangular recurrences, generalized Eulerian numbers, and related number triangles	1
The zeta-regularized product of odious numbers	1
Rational local unitary invariants of symmetrically mixed states of two qubits	1
A generalisation of uniform matroids	1
Cyclic pattern containment and avoidance	1
Combinatorics of the symmetries of ascents in restricted inversion sequences	1
On non-minimal complements	1
The functional form of the dual mixed volume	1
An optimal algorithm for stopping on the element closest to the center of an interval	1
The distributions under two species-tree models of the total number of ancestral configurations for matching gene trees and species trees	1
Parallel translates of represented matroids	1
On variation of eigenvalues of birth and death matrices and random walk matrices	1
Secretary problem with hidden information; searching for a high merit candidate	1
Generalized coinvariant algebras for wreath products	1
The measure-comparison problem for polar (p,μ)-centroid bodies	1
The range of repetition in reduced decompositions	1
A q-analogue of Wilson's congruence	1
Proof for a Π -identity of Gosper	1
An improvement of Tusnády's inequality in the bulk	1
A central limit theorem for descents and major indices in fixed conjugacy classes of S	1
CW-complex Nagata idealizations	1
New equalities and inequalities for the ranks and cranks of partitions	1
Eigenvalues and critical groups of Adinkras	1
Refined Eulerian numbers and ballot permutations	1
Properties for the Fréchet mean in Billera-Holmes-Vogtmann treespace	1
Hopf algebras of parking functions and decorated planar trees	1
Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials	1
Robustness of Pisot-regular sequences	1
Stable fixed points of combinatorial threshold-linear networks	1
Computing the form of highest degree of the implicit equation of a rational surface	1
Gončarov polynomials in partition lattices and exponential families	1
Computational complexity of learning algebraic varieties	1
On a poset of trees revisited	1
Uniform matrix product states from an algebraic geometer's point of view	1
Fishburn trees	0
Editorial Board	0
Generic projections of the H4 configuration of points	0
The entropy of the radical ideal of a tropical curve	0
Computations versus bijections for tiling enumeration	0
Editorial Board	0
Hypercubes and Hamilton cycles of display sets of rooted phylogenetic networks	0
Block-counting sequences are not purely morphic	0
On the moments of moments of random matrices and Ehrhart polynomials	0
Polynomial reduction for holonomic sequences and applications in π-series and congruences	0
The expectation of the Vandermonde product squared for uniform random variables	0
The edge-product space of phylogenetic trees is not shellable	0
Directed Gaussian graphical models with toric vanishing ideals	0
Positivity of permutation pattern character polynomials	0
Editorial Board	0
Editorial Board	0
Rotational Crofton formulae with a fixed subspace	0
Editorial Board	0
On the complexity of analyticity in semi-definite optimization	0
A characterization of the star duality mapping	0
SL(2) intertwining Minkowski valuations in the plane	0
Inequalities for the overpartition function arising from determinants	0
An involution on restricted Laguerre histories and its applications	0
New results on Nyldon words and Nyldon-like sets	0
Combinatorial identities associated with a bivariate generating function for overpartition pairs	0
Sign signatures and characters of Weyl Groups	0
Continuity of limit surfaces of locally uniform random permutations	0
Factorisation of the complete graph into spanning regular factors	0
Invariants for level-1 phylogenetic networks under the Cavendar-Farris-Neyman model	0
Editorial Board	0
Carries and a map on the space of rational functions	0
Connectivity of old and new models of friends-and-strangers graphs	0
A unified framework to prove multiplicative inequalities for the partition function	0
r-Lah distribution: Properties, limit theorems and an application to compressed sensing	0
On some configurations of oppositely charged trapped vortices in the plane	0
Uniform tight frames as optimal signals	0
Avoiding a pair of patterns in multisets and compositions	0