Geodesic

Sommaire du Fascicule no. 1

Finite factors of Bernoulli schemes and distinguishing labelings of directed graphs
On Euclidean designs and potential energy
On harmonious colouring of trees
On the upper tail of counts of strictly balanced subgraphs
Local-to-global principles for the hitting sequence of a rotor walk
A basis of finite and infinite sets with small representation function
Descents of permutations in a Ferrers board
An improved inequality related to Vizing's conjecture
The \({1/k}\)-Eulerian polynomials
Anti-codes in terms of Berlekamp's switching game
Partitions, Kostka polynomials and pairs of trees
Kaleidoscopical configurations in \(G\)-spaces
Flag \(f\)-vectors of three-colored complexes
\(h\)-vectors of small matroid complexes
Domination reliability
Maximal fillings of Moon polyominoes, simplicial complexes, and Schubert polynomials
Propagation connectivity of random hypergraphs
Pandiagonal sudokus
The smallest one-realization of a given set
Rainbow connection number and connectivity
Generating trees and pattern avoidance in alternating permutations
The positive minimum degree game on sparse graphs
On Ryser's conjecture
A note on random \(k\)-SAT for moderately growing \(k\)
On the number of Hamilton cycles in pseudo-random graphs
Symmetric chain decomposition of necklace posets
Sequences of integers avoiding 3-term arithmetic progressions
Actions and identities on set partitions
Refined inversion statistics on permutations
A construction for the hat problem on a directed graph
Susceptibility in inhomogeneous random graphs
Bounds for identifying codes in terms of degree parameters
Balanced line for a 3-colored point set in the plane
The existence of strong complete mappings
Automorphism groups of rational circulant graphs
The negative \(q\)-binomial
Properties of \(\theta\)-super positive graphs
Plactic relations for \(r\)-domino tableaux
The chromatic number and the least eigenvalue of a graph
The identities of additive binary arithmetics
On-line list colouring of complete multipartite graphs
Efficient oracles for generating binary bubble languages
On the number of \(F\)-matchings in a tree
Integral sets and Cayley graphs of finite groups
Rainbow-free 3-colorings of abelian groups
Rainbow Hamilton cycles in uniform hypergraphs
Random subgraphs in Cartesian powers of regular graphs
The 2-adic valuation of plane partitions and totally symmetric plane partitions
On the number of indecomposable permutations with a given number of cycles
The covered components polynomial: a new representation of the edge elimination polynomial
The effect of random edge removal on network degree sequence
Two-part set systems
Cubic vertex-transitive non-Cayley graphs of order \(8p\)
A dice rolling game on a set of tori
Minimum clique number, chromatic number, and Ramsey numbers
Poset pinball, highest forms, and \((n-2,2)\) Springer varieties
A combinatorial proof of the recurrence for rook paths
The chromatic index of a graph whose core has maximum degree 2
The full automorphism group of Cayley graphs of \(\mathbb{Z}_p\times\mathbb{Z}_{p^2}\)
Combinatorial interpretations of particular evaluations of complete and elementary symmetric functions
Doubly biased maker-breaker connectivity game
Surprising symmetries in objects counted by Catalan numbers
Avoiding \((m,m,m)\)-arrays of order \(n=2^k\)
Largest and smallest minimal percolating sets in trees
Hamiltonicity of minimum distance graphs of 1-perfect codes
On the Ramsey number \(R(4,6)\)
Distortion of the hyperbolicity constant of a graph
On \(Q\)-polynomial association schemes of small class
The tight upper bound for the number of matchings of tricyclic graphs

Sommaire du Fascicule no. 2

An algebraic exploration of dominating sets and Vizing's conjecture
Strings of length 3 in grand-Dyck paths and the Chung-Feller property
Monotone paths in random hypergraphs
Demazure crystals, Kirillov-Reshetikhin crystals, and the energy function
Self-dual interval orders and row-Fishburn matrices
Extensions of Spivey's Bell number formula
A note on zero-sum 5-flows in regular graphs
Multiranks for partitions into multi-colors
Non-recursively constructible recursive families of graphs
On the unitary Cayley graph of a ring
On log-concavity of a class of generalized Stirling numbers
On the length of a partial independent transversal in a matroidal Latin square
On the rank function of a differential poset
Generalized Ramsey numbers for graphs with three disjoint cycles versus a complete graph
Sequences containing no 3-term arithmetic progressions
Preserving log-convexity for generalized Pascal triangles
Arithmetic properties of overpartition pairs into odd parts
Partitions with distinct multiplicities of parts: on an ``unsolved problem'' posed by Herbert Wilf
Distinguishing trees in linear time
Tight co-degree condition for perfect matchings in 4-graphs
An undecidability result on limits of sparse graphs
New Turán densities for 3-graphs
Some results on chromaticity of quasi-linear paths and cycles
Classification of cubic symmetric tricirculants
Improved upper bounds for planarization and series-parallelization of degree-bounded graphs
The coin exchange problem and the structure of cube tilings
Distinguishability of infinite groups and graphs
The existence of near generalized balanced tournament designs
The \(1/3\)-\(2/3\) conjecture for \(N\)-free ordered sets
The Ramsey number of loose triangles and quadrangles in hypergraphs
Drawing Hamiltonian cycles with no large angles
Lower bounds on the obstacle number of graphs
Sum and shifted-product subsets of product-sets over finite rings
A positive combinatorial formula for the complexity of the \(q\)-analog of the \(n\)-cube
Improving the use of cyclic zippers in finding lower bounds for van der Waerden numbers
Inequalities between gamma-polynomials of graph-associahedra
Probabilities of Boolean functions given by random implicational formulas
Optimal lower bound for 2-identifying codes in the hexagonal grid
Injective envelopes and projective covers of quivers
Locally identifying coloring of graphs
Maximal percolation time in hypercubes under 2-bootstrap percolation
On matchings in hypergraphs
Stamp foldings, semi-meanders, and open meanders: fast generation algorithms
Binomial edge ideals of graphs
Vertex isoperimetric inequalities for a family of graphs on \(\mathbb{Z}^k\)
Some quotients of chain products are symmetric chain orders
Statistics of blocks in \(k\)-divisible non-crossing partitions
Orthogonal systems in vector spaces over finite rings
Alternating permutations with restrictions and standard Young tableaux
On \((K_{q},k)\) stable graphs with small \(k\)
The number of nilpotent semigroups of degree 3.
Rainbow matchings of size \(\delta(G)\) in properly edge-colored graphs
The \(n\)-card problem, stochastic matrices, and the extreme principle
The decomposition algorithm for skew-symmetrizable exchange matrices
Expansions of \(k\)-Schur functions in the affine nilcoxeter algebra

Sommaire du Fascicule no. 3

The cyclic sieving phenomenon for non-crossing forests
Ramsey properties of random subgraphs of pseudo-random graphs
Matchings, cycle bases, and the maximum genus of a graph
An enumeration of flags in finite vector spaces
Minimal covers of the Archimedean tilings. I
Counting packings of generic subsets in finite groups
Combinatorial logarithm and point-determining cographs
Reflexive polytopes of higher index and the number 12
Parity types, cycle structures and autotopisms of Latin squares
On Zudilin's \(q\)-question about Schmidt's problem
Block designs with SDP parameters
A short proof of the odd-girth theorem
Cospectral graphs and regular orthogonal matrices of level 2
Polyhedral embeddings of snarks with arbitrary nonorientable genera
On a recurrence arising in graph compression
Degrees in oriented hypergraphs and Ramsey \(p\)-chromatic number
Planar graphs of maximum degree six without 7-cycles are class one
A complete classification of doubly even self-dual codes of length 40
Roman domination number of the Cartesian products of paths and cycles
The enumeration of three pattern classes using monotone grid classes
Viewing determinants as nonintersecting lattice paths yields classical determinantal identities bijectively
Non-contiguous pattern avoidance in binary trees
Graph cospectrality using neighborhood matrices
Enumerating lattice paths touching or crossing the diagonal at a given number of lattice points
Two permutation classes related to the bubble sort operator
Baxter permutations, maj-balances, and positive braids
Partition of graphs and hypergraphs into monochromatic connected parts
Some constructions of general covering designs
Biembeddings of metacyclic groups and triangulations of orientable surfaces by complete graphs
The rotor-router group of directed covers of graphs
On short zero-sum subsequences of zero-sum sequences
Triangle-free triangulations, hyperplane arrangements and shifted tableaux
Polynomials with real zeros and compatible sequences
Generalized Galois numbers, inversions, lattice paths, ferrers diagrams and limit theorems
Existence of 2-\((v,k,1)\) designs admitting a block-transitive group of affine type
On a matrix representation for polynomially recursive sequences
Independent sets in graphs with given minimum degree
Dissimilarity maps on trees and the representation theory of \(\mathrm{GL}_n(\mathbb{C})\)
Shi threshold arrangement
Turán \(H\)-densities for 3-graphs
Euler's partition theorem with upper bounds on multiplicities
Enumeration of Golomb rulers and acyclic orientations of mixed graphs
Expected patterns in permutation classes
Parity index of binary words and powers of prime words
Directed animals, quadratic systems and rewriting systems
The vertical profile of embedded trees
Recurrence relations and splitting formulas for the domination polynomial

Sommaire du Fascicule no. 4

The lowest-degree polynomial with nonnegative coefficients divisible by the \(n\)-th cyclotomic polynomial
Constructions of bipartite and bipartite-regular hypermaps
Invariant principal order ideals under Foata's transformation
Some constant weight codes from primitive permutation groups
Rainbow connection of sparse random graphs
Uniquely \(K_r\)-saturated graphs
On extensions of the Alon-Tarsi Latin square conjecture
Orientations, semiorders, arrangements, and parking functions
The closed knight tour problem in higher dimensions
Maximum frustration in bipartite signed graphs
Repetition threshold for circular words
Hypohamiltonian graphs and their crossing number
Spectral properties of unitary Cayley graphs of finite commutative rings
Locally restricted compositions. IV. Nearly free large parts and gap-freeness
New proofs of determinant evaluations related to plane partitions
Ehrhart \(f^*\)-coefficients of polytopal complexes are non-negative integers
Finite homomorphism-homogeneous permutations via edge colourings of chains
Large 2-coloured matchings in 3-coloured complete hypergraphs
Canonical decompositions of affine permutations, affine codes, and split \(k\)-Schur functions
On codes that are invariant under the affine group.
A simple branching process approach to the phase transition in \(G_{n,p}\)
Schur polynomials, banded Toeplitz matrices and widom's formula
A note on automorphisms of the infinite-dimensional hypercube graph
Large incidence-free sets in geometries
Distance powers and distance matrices of integral Cayley graphs over abelian groups
Irreducible cycles and points in special position in moduli spaces for tropical curves
On the parity of certain coefficients for a \(q\)-analogue of the Catalan numbers
Properties of random difference graphs
Partially ordinal sums and \(P\)-partitions
Resolving sets and semi-resolving sets in finite projective planes
A construction of short sequences containing all permutations of a set as subsequences
Identifying vertex covers in graphs
Structure of colored complete graphs free of proper cycles
Some convolution identities and an inverse relation involving partial Bell polynomials
The (signless Laplacian) spectral radii of connected graphs with prescribed degree sequences
Ramsey numbers \(R(K_3, G)\) for graphs of order 10
The hitting time of rainbow connection number two
A proof of Erdős-Fishburn's conjecture for \(g(6)=13\)
Combinatorial expansions in \(K\)-theoretic bases
Münchhausen matrices
Counting bases of representable matroids
Hopf algebra of building sets.
An ordered Turán problem for bipartite graphs
Optimal divisibility conditions for loose Hamilton cycles in random hypergraphs
\(\Gamma \)-species and the enumeration of \(k\)-trees
The tau constant and the edge connectivity of a metrized graph
Three color Ramsey numbers for graphs with at most 4 vertices
Further analysis on the total number of subtrees of trees
On cross-intersecting families of set partitions
List-coloring graphs on surfaces with varying list-sizes
On the spanning trees of the hypercube and other products of graphs
On the number of partition weights with Kostka multiplicity one
Connectivity for random graphs from a weighted bridge-addable class
The number of ways to assemble a graph
Generalized Alcuin's sequence
Identifying codes of lexicographic product of graphs