Geodesic

Sommaire du Fascicule no. 1

Vertex-decomposable graphs, codismantlability, Cohen-Macaulayness, and Castelnuovo-Mumford regularity
Avoider-forcer games on hypergraphs with small rank
Diagrammatic description of \(c\)-vectors and \(d\)-vectors of cluster algebras of finite type
Distance-regular graphs with an eigenvalue \(-k \theta \leq 2-k\)
A decomposition algorithm for noncrossing trees
A simple proof for the number of tilings of quartered Aztec diamonds
Tiling a strip with triangles
Colorful subhypergraphs in Kneser hypergraphs
Square-free words with square-free self-shuffles
Generalized Stirling numbers and hyper-sums of powers of binomials coefficients
From clutters to matroids
Genus distributions for iterated claws
On a sumset problem for integers
Arcs with large conical subsets in Desarguesian planes of even order
On the directed Oberwolfach problem with equal cycle lengths
Endomorphism breaking in graphs
Some extremal problems for hereditary properties of graphs
Structural transition in random mappings
Biclique covers and partitions
Symmetric alcoved polytopes
Beyond sum-free sets in the natural numbers
Doubly even orientable closed 2-cell embeddings of the complete graph
A note on irreducible maps with several boundaries
Forcing \(k\)-repetitions in degree sequences
On the Kirchhoff and the Wiener indices of graphs and block decomposition
Constant rank-distance sets of Hermitian matrices and partial spreads in Hermitian polar spaces
How many colors guarantee a rainbow matching?
On counterexamples to a conjecture of Wills and Ehrhart polynomials whose roots have equal real parts
On the positive moments of ranks of partitions
Long paths and cycles in random subgraphs of \(\mathcal{H}\)-free graphs
Generalised knight's tours
On divisibility of convolutions of central binomial coefficients
Some new binomial sums related to the Catalan triangle
On a conjecture concerning the Petersen graph. II
About half permutations
Self-dual spherical grids
The Goldman-Rota identity and the Grassmann scheme
A new lower bound on the independence number of a graph and applications
Schur times Schubert via the Fomin-Kirillov algebra
A set and collection lemma
Crossings in grid drawings
Extremal problems for subset divisors
Polynomial sequences of binomial-type arising in graph theory
The unreasonable ubiquitousness of quasi-polynomials
On the number of spanning trees in random regular graphs
Rainbow path and color degree in edge colored graphs
The gap structure of a family of integer subsets
Treewidth of the Kneser graph and the Erdős-Ko-Rado theorem
Nested recursions, simultaneous parameters and tree superpositions
Logarithmic tree-numbers for acyclic complexes
A generalization of Aztec diamond theorem. I
On the number of orientations of random graphs with no directed cycles of a given length
Non-normal very ample polytopes and their holes
On regular hypergraphs of high girth
Edge-decomposition of graphs into copies of a tree with four edges
Total colorings of \(F_5\)-free planar graphs with maximum degree 8
Remarks on a conjecture of Barát and Tóth
Non-existence of point-transitive \(2\)-\((106, 6, 1)\) designs
Equipopularity classes of 132-avoiding permutations
Semiarcs with long secants
Minimal crystallizations of 3-manifolds
Equicovering subgraphs of graphs and hypergraphs
The proof of the removable pair conjecture for fractional dimension.
Online Ramsey theory for planar graphs
Convolution identities for Bernoulli and Genocchi polynomials
Certificates for properties of stability polynomials of graphs
A group action on derangements
A general central limit theorem for shape parameters of \(m\)-ary tries and PATRICIA tries
Monomial ideals with primary components given by powers of monomial prime ideals

Sommaire du Fascicule no. 2

Counting words with Laguerre series
Revstack sort, zigzag patterns, descent polynomials of \(t\)-revstack sortable permutations, and Steingrímsson's sorting conjecture
Some new characterizations of graph colorability and of blocking sets of projective spaces
Counting symmetric nilpotent matrices
Degree Ramsey numbers of closed blowups of trees
Totally symmetric functions are reconstructible from identification minors
Application of entropy compression in pattern avoidance
Packing tree factors in random and pseudo-random graphs
A simple formula for the series of constellations and quasi-constellations with boundaries
Signed excedance enumeration in the hyperoctahedral group
On the Möbius function of permutations with one descent
Progress on Dirac's conjecture
Matching covered graphs with three removable classes
Matroid and Tutte-connectivity in infinite graphs
Tree reconstruction from triplet cover distances
The Ihara zeta function of the infinite grid
Zero-sum magic labelings and null sets of regular graphs
On fractional realizations of graph degree sequences
Colour-blind can distinguish colour pallets
Bruhat order on fixed-point-free involutions in the symmetric group
The parity of a thicket
New Ramsey classes from old
A note on coloring line arrangements
Total transversals and total domination in uniform hypergraphs
The combinatorics of \(\mathsf{A}_2\)-webs
The topology of competitively constructed graphs
A combinatorial identity of multiple zeta values with even arguments
On a general \(q\)-identity
On the group of alternating colored permutations.
On the Buratti-Horak-Rosa conjecture about Hamiltonian paths in complete graphs
A pseudoline counterexample to the strong Dirac conjecture
Combinatorial study of Dellac configurations and \(q\)-extended normalized median Genocchi numbers
A note on covering edge colored hypergraphs by monochromatic components
The extendability of matchings in strongly regular graphs
Hyperoctahedral Eulerian idempotents, Hodge decompositions, and signed graph coloring complexes
Monochromatic loose-cycle partitions in hypergraphs
An elementary proof of Jin's theorem with a bound
A note on independent sets in graphs with large minimum degree and small cliques
On the hyperbolicity of random graphs
Enumeration of bipartite graphs and bipartite blocks
Bijective proofs of partition identities of Macmahon, Andrews, and Subbarao
A bijective proof of Shapiro's Catalan convolution
New multiple harmonic sum identities
General restriction of \((s,t)\)-Wythoff's game
Congruences of finite summations of the coefficients in certain generating functions
Split \((n+t)\)-color partitions and Gordon-McIntosh eight order mock theta functions
Equivalence classes of permutations modulo replacements between 123 and two-integer patterns
Random threshold digraphs
Switching in one-factorisations of complete graphs
Refining enumeration schemes to count according to permutation statistics
Counting 2-connected 4-regular maps on the projective plane
Order polynomials and Pólya's enumeration theorem.
More on the Wilson \(W_{tk}(v)\) matrices
Proof of two divisibility properties of binomial coefficients conjectured by Z.-W. Sun
Partitions of \(\mathbb Z_m\) with the same weighted representation functions
Lines in higgledy-piggledy arrangement
Extremal edge polytopes

Sommaire du Fascicule no. 3

A spectral equivalent condition of the \(P\)-polynomial property for association schemes
Consecutive up-down patterns in up-down permutations
A characteristic factor for the 3-term IP Roth theorem in \(\mathbb{Z}_3^\mathbb{N}\)
On fence patrolling by mobile agents
Arc-transitive dihedral regular covers of cubic graphs
Nordhaus-Gaddum type inequalities for Laplacian and signless Laplacian eigenvalues
The minimum number of nonnegative edges in hypergraphs
On the Cayley isomorphism problem for Cayley objects of nilpotent groups of some orders
Ascent-descent Young diagrams and pattern avoidance in alternating permutations
The expected characteristic and permanental polynomials of the random Gram matrix
A counterexample to a question of Hof, Knill and Simon
Counting results for thin Butson matrices
Trivial meet and join within the lattice of monotone triangles.
On the strong partition dimension of graphs
The weak order on pattern-avoiding permutations
An Erdős-Ko-Rado theorem for permutations with fixed number of cycles
Some identities involving the partial sum of \(q\)-binomial coefficients
Minimum-weight edge discriminators in hypergraphs
The maximal length of a \(k\)-separator permutation
Grid minors in damaged grids
Extremal problems for the \(p\)-spectral radius of graphs
On saturated \(k\)-Sperner systems
On the number of colored Birch and Tverberg partitions
Bounding sequence extremal functions with formations
Counting the palstars
A combinatorial proof of the non-vanishing of Hankel determinants of the Thue-Morse sequence
Note on the subgraph component polynomial
Resolving a conjecture on degree of regularity of linear homogeneous equations
Additional constructions to solve the generalized Russian cards problem using combinatorial designs
Capturing the drunk robber on a graph
On compact symmetric regularizations of graphs
On symmetry of uniform and preferential attachment graphs
A \(q\)-queens problem. I: General theory
On the typical structure of graphs in a monotone property
Arithmetic properties of overcubic partition pairs
Orthogonality and minimality in the homology of locally finite graphs
The generating function for total displacement
A Laurent series proof of the Habsieger-Kadell \(q\)-Morris identity
Distance-restricted matching extension in triangulations of the torus and the Klein bottle
Bounding the distinguishing number of infinite graphs and permutation groups
A Schur-like basis of \(\mathsf{NSym}\) defined by a Pieri rule
A polynomial invariant and duality for triangulations
Proof of the list edge coloring conjecture for complete graphs of prime degree
Energies and structure of additive sets
A note on a Ramsey-type problem for sequences
Schur-positivity in a square
Computing the Tutte polynomial of a matroid from its lattice of cyclic flats

Sommaire du Fascicule no. 4

The optimal drawings of \(K_{5,n}\)
Limits of Boolean functions on \(\mathbb{F}_p^n\)
Permutation reconstruction from differences
Isometric embeddings of half-cube graphs in half-spin Grassmannians
An extension of Turán's theorem, uniqueness and stability
Coxeter-Knuth graphs and a signed little map for type B reduced words
Enumerating Hamiltonian cycles
New infinite families of congruences modulo 8 for partitions with even parts distinct
Graph homomorphisms between trees
The range of a simple random walk on \(\mathbb{Z}\): an elementary combinatorial approach
Operators of equivalent sorting power and related Wilf-equivalences
\(k\)-fold Sidon sets
On sets with few intersection numbers in finite projective and affine spaces
Mutations of fake weighted projective spaces
The Combinatorial Nullstellensätze revisited
Decomposing labeled interval orders as pairs of permutations
Chromatic bounds on orbital chromatic roots
Enumerating permutations by their run structure
Subset Glauber dynamics on graphs, hypergraphs and matroids of bounded tree-width
Schreier graphs of an extended version of the binary adding machine.
On the subpartitions of the ordinary partitions. II
Turán problems on non-uniform hypergraphs
Counting permutations by alternating descents
Some spectral properties of uniform hypergraphs
Avoiding 7-circuits in 2-factors of cubic graphs
On \(m\)-closed graphs
Schubert polynomials and \(k\)-Schur functions
Integer decomposition property of dilated polytopes
A 64-dimensional counterexample to Borsuk's conjecture
Shattering-extremal set systems of VC dimension at most 2
Kauffman's clock lattice as a graph of perfect matchings: a formula for its height
An abstraction of Whitney's broken circuit theorem
A combinatorial approach to Ebert's hat game with many colors
Bruhat order on partial fixed point free involutions.
Structure coefficients of the Hecke algebra of \((\mathcal{S}_{2n},\mathcal{B}_n)\)
On floors and ceilings of the \(k\)-Catalan arrangement
Face-width of Pfaffian braces and polyhex graphs on surfaces
The number of moves of the largest disc in shortest paths on Hanoi graphs
A slight improvement to the colored Bárány's theorem
A combinatorial proof for Cayley's identity
The Ramsey numbers of paths versus wheels: a complete solution
Ramsey precompact expansions of homogeneous directed graphs
Equidistributed statistics on matchings and permutations
Combinatorial nullstellensatz modulo prime powers and the parity argument
On groups all of whose undirected Cayley graphs of bounded valency are integral
Enumeration of tilings of quartered Aztec rectangles
The game chromatic number of dense random graphs
A superlocal version of Reed's conjecture
Bell numbers modulo a prime number, traces and trinomials
The degree-diameter problem for circulant graphs of degree 8 and 9
Growth rates of geometric grid classes of permutations
Infinite graphs with finite 2-distinguishing cost
On bipartite \(Q\)-polynomial distance-regular graphs with \(c_2 \leqslant 2\)