Geodesic

Sommaire du Fascicule no. 1

The 3-dicritical semi-complete digraphs
On the asymptotic behavior for partitions separated by parity
Counting occurrences of patterns in permutations
A refinement of and a companion to MacMahon's partition identity
Maximum spread of \(K_{s,t}\)-minor-free graphs
A constructive winning maker strategy in the maker-breaker \(C_4\)-game
On (shape-)Wilf-equivalence of certain sets of (partially ordered) patterns
Long cycles in percolated expanders
Sharp Szemerédi-Trotter constructions in the plane
Piercing independent sets in graphs without large induced matching
Kromatic quasisymmetric functions
Demazure crystals for flagged key polynomials
Homological algebra of Nakayama algebras and 321-avoiding permutation
Permanental inequalities for totally positive matrices
The clairvoyant maître d'
Generalized Ramsey numbers at the linear and quadratic thresholds
The linear \(q\)-hypergraph process
On the quantum chromatic numbers of small graphs
Independent removable edges in cubic bricks
The maximum number of connected sets in regular graphs
On the evolution of random integer compositions
A proof of the \((n, k, t)\) conjectures
A note on uncountably chromatic graphs
New strongly regular graphs found via local search for partial difference sets
The number of edge colorings with small independence number and no monochromatic \(H\)
Graphs without a 3-connected subgraph are 4-colourable
On set representation of bounded degree hypergaphs
Lower bounds on face numbers of polytopes with \(m\) facets
Generalized crowns in linear \(r\)-graphs
The minimum spectral radius of \(tP_3\)- or \(K_5\)-saturated graphs via the number of \(2\)-walks
A hypergraph analog of Dirac's theorem for long cycles in 2-connected graphs. II: Large uniformities
An interlacing property of the signless Laplacian of threshold graphs
Some bounds on the threshold dimension of graphs
The degree threshold for covering with all the connected \(3\)-graphs with \(3\) edges
Minimum degree conditions for Hamilton \(l\)-cycles in \(k\)-uniform hypergraphs
Braces of perfect matching width 2
Structural Szemerédi-Trotter for lattices and their generalizations
Pascal's formulas and vector fields
A combinatorial interpretation of the noncommutative inverse Kostka matrix
Ascent sequences avoiding a triple of length-3 patterns
Shellability of componentwise discrete polymatroids
Problems, proofs, and disproofs on the inversion number
Low rank groups of Lie type acting point- and line-primitively on finite generalised quadrangles
A note on the invertibility of oriented graphs
The image of a tropical linear space
The construction of a class of presentations for Specht modules
On the minimum density of monotone subwords
A special class of pure \(O\)-sequences
The Norton-balanced condition for \(Q\)-polynomial distance-regular graphs
Polynomial bounds for monochromatic tight cycle partition in \(r\)-edge-coloured \(K_n^{(k)}\)
Algebraic characterization of dendricity
Smoothed analysis of the Komlós conjecture: Rademacher noise
A combinatorial perspective on the noncommutative symmetric functions
On commutative association schemes and associated (directed) graphs
Saturation of \(k\)-chains in the Boolean lattice
Mixed graphs determined by their generalized Hermitian adjacency spectrum based on Eisenstein integers

Sommaire du Fascicule no. 2

What is a \(4\)-connected matroid?
Every signed planar graph of girth 5 has circular chromatic number strictly less than 4
Fusions of the tensor product of a strongly regular graph
Rank functions and invariants of delta-matroids
Signed circuit \(6\)-covers of signed \(K_4\)-minor-free graphs
A three-regime theorem for flow-firing
Realizability in Matoušek unique sink orientations: characterization and complexity gap
On the order of \(P\)-strict promotion on \(\mathsf{V}\times [\ell]\)
On the order sequence of a group
Reflection groups and quiver mutation: diagrammatics
The skew immaculate Hecke poset and 0-Hecke modules
Simplicial complexes and matroids with vanishing \(T^2\)
Graphs with large clique number whose second largest eigenvalue does not exceed \((\sqrt{5}-1)/2\)
Turán colourings in off-diagonal Ramsey multiplicity
Randomized algorithms to generate hypergraphs with given degree sequences
List colorings of \(k\)-partite \(k\)-graphs
Weighted tree games
Generalized spectral characterization of signed trees
New structures and their applications to variants of zero forcing and propagation time
New bounds on a generalization of Tuza's conjecture
A random coloring process gives improved bounds for the Erdős-Gyárfás problem on generalized Ramsey numbers
Almost all 9-regular graphs have a modulo-5 orientation
On the \(A_\alpha\)-index of \(C_4\)-free graphs with given order or size
Grid minors and products
A new family of \((q^{4}+1)\)-tight sets with an automorphism group \(F_{4}(q)\)
Long cycles and spectral radii in planar graphs
Avoidability beyond paths
Edge cover through edge coloring
Frozen colourings in \(2 K_2\)-free graphs
On the hyperdeterminants of Steiner distance hypermatrices
3-cluster-free families of subspaces
Sparse vertex cutsets and the maximum degree
A max-min problem on spectral radius and connectedness of graphs
Classification of vertex-transitive digraphs of order a product of two distinct primes via automorphism group
Tangled paths: a random graph model from Mallows permutations
The ascent lattice on Dyck paths
A generalization of conjugation of integer partitions
Detecting graphical and digraphical regular representations in groups of squarefree order
Bounds for greedy \(B_h\)-sets
Degree deviation and spectral radius
On the off-diagonal unordered Erdős-Rado numbers
A Mathon-type construction for digraphs and improved lower bounds for Ramsey numbers
New bounds on families without large sunflowers
Uniform recurrence in the Motzkin numbers and related sequences mod \(p\)
How to get the random graph with non-uniform probabilities?
A combinatorial proof of a symmetry for a refinement of the Narayana numbers
Generalized quaternion groups with the \(m\)-DCI property
The Latin tableau conjecture
Stability of Cayley graphs and Schur rings
Lexicographic shellability of sects
Bijectivizing the PT-DT correspondence
The largest size of \((t, t+d, t+2d)\)-core partitions
A variable version of the quasi-kernel conjecture
Weak Bruhat interval modules of finite-type \(0\)-Hecke algebras and projective covers
The repetition threshold for ternary rich words
Covering numbers of some irreducible characters of the symmetric group

Sommaire du Fascicule no. 3

Colouring complete multipartite and Kneser-type digraphs
Counting graph orientations with no directed triangles
The complexity of the greedoid Tutte polynomial
On subdivisions of four blocks cycles with two non-consecutive blocks of length one in digraphs with large chromatic number
Forbidden pairs for traceability of 2-connected graphs
Pattern-avoiding modified ascent sequences
Rainbow common graphs must be forests
Characterizations of perfectly clustering words
On the fractional matching extendability of Cayley graphs of abelian groups
Hindrance from a wasteful partial linkage
De Bruijn sequences: from games to shift-rules to a proof of the Fredricksen-Kessler-Maiorana theorem
Isoperimetry in product graphs
Flag-transitive point-primitive quasi-symmetric \(2\)-designs and exceptional groups of Lie type
A lower bound on the saturation number and a strengthening for triangle-free graphs
Clustered colouring of graph products
On the number of monochromatic cliques in a graph
Thin edges in claw-free bricks
On Fourier coefficients of sets with small doubling
On card guessing games: limit law for one-time riffle shuffle
Restricted van der Waerden theorem for nilprogressions
Bakry-Émery and Ollivier Ricci curvature of Cayley graphs
Alon's transmitting problem and multicolor Beck-Spencer Lemma
A new strategy for finding spanning trees without small degree stems
Invariant equations in many variables
On the number of generalized numerical semigroups
Characterising 4-tangles through a connectivity property
A note on strong blocking sets and higgledy-piggledy sets of lines
Cops and robber -- when capturing is not surrounding
Paths, cycles and sprinkling in random hypergraphs
Rainbow triangles sharing one common vertex or edge
Combinatorics of Castelnuovo-Mumford regularity of binomial edge ideals
Structure and growth of \(\mathbb{R}\)-Bonacci words
\(s\)-stable Kneser graphs are Hamiltonian
Bounded fractional intersecting families are linear in size
Creating spanning trees in Waiter-Client games
Treewidth is NP-complete on cubic graphs
A characterization of \(4\)-connected graphs with no \(K_{3, 3}+v\)-minor
A note on directed analogues of the Sidorenko and forcing conjectures
Some results on fractional vs. expectation thresholds
A note on the map expansion of Jack polynomials
Shotgun assembly of Linial-Meshulam model
LDP polygons and the number 12 revisited
Star colouring and locally constrained graph homomorphisms
Enumerating 1324-avoiders with few inversions
Clique covers of complete graphs and piercing multitrack intervals
Bounding the SNPR distance between two tree-child networks using generalised agreement forests
Descents and flag major index on conjugacy classes of colored permutation groups without short cycles
Dimensions of compositions modulo a prime
The multi-generating function for intervals in Young's lattice: some comments on a paper by Azam and Richmond
A note on the structure of locally finite planar quasi-transitive graphs
Cubic edge-transitive graphs of order \(2p^4\)
The free product of \(q\)-matroids
A linear lower bound for the square energy of graphs
Universality in prelimiting tail behavior for regular subgraph counts in the Poisson regime
On co-edge-regular graphs with \(4\) distinct eigenvalues

Sommaire du Fascicule no. 4

Counting substructures and eigenvalues. II: Quadrilaterals
Forbidden subgraphs and complete partitions
On Vizing's problem for triangle-free graphs
Transitive cornerations in maps
The partial search order problem
Sketches, moves and partitions: counting regions of Catalan deformations of reflection arrangements
Graphs of bounded chordality
On the cop number of string graphs
Ratliff property of edge ideals of weighted oriented graphs
Invertibility in the misère multiverse
The \(P\)-associahedron \(f\)-vector is a comparability invariant
Degree-similar graphs
A short proof of Seymour's 6-flow theorem
Strong odd colorings in graph classes of bounded expansion
A spectral version of the theorem of Zykov and Erdős
Hitting \(k\) primes by dice rolls
Transversal panconnectedness in graph collections
Abstract regular polytopes of finite irreducible Coxeter groups
Pattern avoidance and the fundamental bijection
Inequalities associated with the root sequences of \(P\)-recursive sequences
The first Roe homology group of locally finite graphs
Equatorial flow triangulations of Gorenstein flow polytopes
Minimal cellular resolutions of path ideals
Complement avoidance in binary words
Revisiting extremal graphs having no stable cutsets
Lattice structure for orientations of graphs
Minimum acyclic number and maximum dichromatic number of oriented triangle-free graphs of a given order
Sharp Szemerédi-Trotter constructions from arbitrary number fields
Mock Alexander polynomials
\(R(3, 10) \leqslant 41\)
Alternating paths in oriented graphs with large semidegree
Exponential odd-distance sets under the Manhattan metric
A characterization of generalized cospectrality of rooted graphs with applications in graph reconstruction
Equating inv-quinv formulas for the \(q\)-Whittaker and modified Hall-Littlewood functions
Propp's benzels and Lai's nearly symmetric hexagons with holes
Stability of transversal Hamilton cycles and paths
A conjecture on the Nordhaus-Gaddum product type inequality for Laplacian eigenvalue of a graph
On list extensions of the majority edge colourings
Probabilistic \((m, n)\)-parking functions
Further Results on Latin Squares with Disjoint Subsquares using Rational Outline Squares
Solving Maker-Breaker Games on 5-Uniform Hypergraphs is PSPACE-Complete
Equality on all #CSP Instances Yields Constraint Function Isomorphism via Interpolation and Intertwiners
Revisiting The Rédei-Berge Symmetric Functions via Matrix Algebra
Intervals in Dyck paths and the wreath conjecture
Structure of Tight $(k,0)$-Stable Graphs
Completing the enumeration of inversion sequences avoiding one or two patterns of length 3
How Many Random Edges Make an Almost-Dirac Graph Hamiltonian?
Primeness of Generalized Parking Functions
On the Erdős-Szekeres Problem for Convex Permutations and Orthogonally Convex Point Sets
A Uniform Bound on Almost Colour-Balanced Perfect Matchings in Colour-Balanced Complete Graphs
On Vertex-Girth-Regular Graphs: (Non-)Existence, Bounds and Enumeration
Some orbits of a two-vertex stabilizer in a Grassmann graph
On the Spectral Turán Problems for Bipartite Hypergraphs
Non-Trivial Squares and Sidorenko's Conjecture
Turán Number for Bushes
Asymptotic Analysis and Efficient Random Sampling of Directed Ordered Acyclic Graphs
Word Length, Bias and Bijections in Penney's Ante
Paths with two blocks in oriented graphs of large minimum semi-degree
Integral Ricci Curvature for Graphs
A classification of $Q$-polynomial distance-regular graphs with girth $6$
Changing almost perfect nonlinear functions on affine subspaces of small codimensions
Infinite Families of Congruences Modulo 81 for Overpartitions with Restricted Odd Differences
Improved Two-Colour Rado Numbers for Linear Equations with Certain Coefficients
Small Ramsey Numbers for Books, Wheels, and Generalizations
Extremal Number of Arborescences
On Faces and Hilbert Bases of Kostka Cones
Logical Limit Laws for Mallows Random Permutations
Linear bounds on treewidth in terms of excluded planar minors
Covering the hypercube, the uncertainty principle, and an interpolation formula
Brun's inequality for a geometric lattice