Geodesic

Sommaire du Fascicule no. 1

Distance-regular graphs with a relatively small eigenvalue multiplicity
Ramsey properties of permutations
T-systems with boundaries from network solutions
Hom complexes of set systems
Forbidden submatrices: some new bounds and constructions
Covering \(n\)-permutations with \((n+1)\)-permutations
Statistical distributions and \(q\)-analogues of \(k\)-Fibonacci numbers
Pattern popularity in 132-avoiding permutations
Products and sums divisible by central binomial coefficients
Colourful theorems and indices of homomorphism complexes
A family of two-variable derivative polynomials for tangent and secant
The Ramsey number of loose paths in 3-uniform hypergraphs
The maximal number of runs in standard Sturmian words
On the Sprague-Grundy values of the \(\mathcal{F}\)-Wythoff game
Scattered linear sets and pseudoreguli
Towards random uniform sampling of bipartite graphs with given degree sequence
Cross-intersecting families of labeled sets
Monochromatic path and cycle partitions in hypergraphs
Graphs with large distinguishing chromatic number
The Canada day theorem
Nonconvexity of the set of hypergraph degree sequences
The prime stems of rooted circuits of closure spaces and minimum implicational bases
The distinguishing chromatic number of Kneser graphs
On a class of highly symmetric \(k\)-factorizations
Finding a princess in a palace: a pursuit-evasion problem
Extremal hypergraphs for the biased Erdős-Selfridge theorem
A new determinant expression for the weighted Bartholdi zeta function of a digraph
Generalized pattern frequency in large permutations
Integral Cayley graphs generated by distance sets in vector spaces over finite fields
New computational upper bounds for Ramsey numbers \(R(3,k)\)
Biologically unavoidable sequences
Families that remain \(k\)-Sperner even after omitting an element of their ground set
New approach to the \(k\)-independence number of a graph
Partitions and compositions over finite fields
Extremal graphs having no stable cutset
Arc-transitive pentavalent graphs of order 4\(pq\)
Multiple Petersen subdivisions in permutation graphs
Inequivalence of difference sets: on a remark of Baumert
Common edges in rooted trees and polygonal triangulations
Decomposing sets of inversions
Properties of the corolla polynomial of a 3-regular graph
Lehmer's conjecture for Hermitian matrices over the Eisenstein and Gaussian integers
Optimization problems over unit-distance representations of graphs
Induced subarrays of Latin squares without repeated symbols
Galkin quandles, pointed abelian groups, and sequence A000712
Enumeration of unlabeled directed hypergraphs
Residue reduced form of a rational function as an iterated Laurent series
On the binomial edge ideal of a pair of graphs
Toward a graph version of Rado's theorem
Ramsey properties of countably infinite partial orderings
Nonrepetitive colourings of planar graphs with \(O(\log n)\) colours
Some remarks on the joint distribution of descents and inverse descents
Edge-disjoint induced subgraphs with given minimum degree
Combinatorial tilings of the sphere by pentagons
On some generalized \(q\)-Eulerian polynomials
A family of half-transitive graphs
On perfect packings in dense graphs
Perfect 1-factorisations of circulants with small degree
An iterative approach to the traceability conjecture for oriented graphs
Matchings in random biregular bipartite graphs
Making a graph crossing-critical by multiplying its edges
Edge regular graph products
An involution proof of the Alladi-Gordon key identity for Schur's partition theorem
Upper bounds for perfect matchings in Pfaffian and planar graphs
Extremal graphs for blow-ups of cycles and trees
Hamiltonicity of cubic 3-connected \(k\)-Halin graphs
Extremal values of ratios: distance problems vs. subtree problems in trees
On some small classical Ramsey numbers
Symmetry breaking in tournaments
Graph labelings and continuous factors of dynamical systems
Biregular cages of girth five
Enumeration of (16,4,16,4) relative difference sets
Stirling numbers of forests and cycles
The cost of 2-distinguishing Cartesian powers
Nonexistence of almost Moore digraphs of diameter four
On 021-avoiding ascent sequences

Sommaire du Fascicule no. 2

Some relational structures with polynomial growth and their associated algebras. I: Quasi-polynomiality of the profile
Asymptotic lower bounds on circular chromatic index of snarks
Maximal antichains of minimum size
Coloring the cube with rainbow cycles
Pattern avoidance in matchings and partitions
Direct bijective computation of the generating series for 2 and 3-connection coefficients of the symmetric group
Erdős-Gyárfás conjecture for cubic planar graphs
Counting families of mutually intersecting sets
The biased odd cycle game
Decomposition of triply rooted trees
A simple proof of an identity of Lacasse
Sisterhood in the Gale-Shapley matching algorithm
A combinatorial proof of an identity for the divisor generating function
Non-classical hyperplanes of \(\mathrm{DW}(5,q)\)
General lower bounds on maximal determinants of binary matrices
On optimality of designs with three distinct eigenvalues
New results in \(t\)-tone coloring of graphs
An inductive approach to constructing universal cycles on the \(k\)-subsets of \([n]\)
On the skew spectra of Cartesian products of graphs
Minimal covers of the Archimedean tilings. II.
On the Cartesian product of non well-covered graphs
Circular Nim games
Random lifts of graphs are highly connected
The capture time of the hypercube
Hamilton saturated hypergraphs of essentially minimum size
Fixed point polynomials of permutation groups.
On the Shannon capacity of triangular graphs
Excedance numbers for the permutations of type \(B\)
Congruences for \(q\)-Lucas numbers
On the rank of \(p\)-schemes
Labeling the regions of the type \(C_n\) Shi arrangement
Face numbers of centrally symmetric polytopes produced from Split graphs
Coupon collector problem for non-uniform coupons and random quotas
An extension theorem for terraces.
Orders induced by segments in floorplans and (2-14-3, 3-41-2)-avoiding permutations
Near packings of graphs
On the number of nonequivalent propelinear extended perfect codes
The number of rooted trees of given depth
Affine primitive groups and semisymmetric graphs
On blow-ups and injectivity of quivers
Multivariate Fuss-Narayana polynomials and their application to random matrices
Integer points in knapsack polytopes and \(s\)-covering radius
Which exterior powers are balanced?
Generating and enumerating 321-avoiding and skew-merged simple permutations
Cores of vertex transitive graphs
On slowly percolating sets of minimal size in bootstrap percolation
Graphs on affine and linear spaces and Deuber sets
On the topology of the Cambrian semilattices.
On the maximum number of \(k\)-hooks of partitions of \(n\)
Distinguishing maps. II: General case
Generalized balanced tournament designs with block size four
Random graphs from a weighted minor-closed class
On the union complexity of diametral disks
On drawings and decompositions of 1-planar graphs
Barred preferential arrangements
Counting \(k\)-convex polyominoes
Multiplicative partitions
A combinatorial proof of an identity from Ramanujan's lost notebook
Note on upper density of quasi-random hypergraphs
Vanishing of doubly symmetrized tensors
Modular Schur numbers
On the Turán number of forests
Integral Cayley multigraphs over abelian and Hamiltonian groups
Rooted \(K_4\)-minors

Sommaire du Fascicule no. 3

Maximum planar subgraphs in dense graphs
Gromov hyperbolicity in strong product graphs
Degree distribution of an inhomogeneous random intersection graph
Limits of modified higher \(q,t\)-Catalan numbers
Recognition and characterization of chronological interval digraphs
A bound on permutation codes
An identity conjectured by Lacasse via the tree function
\((2,m,n)\)-groups with Euler characteristic equal to \(-2^as^b\).
Geometric constructions for symmetric 3-configurations
On the independence numbers of the cubes of odd cycles
Extensions to 2-factors in bipartite graphs
A plethysm formula on the characteristic map of induced linear characters from \(U_n(\mathbb F_q)\) to \(GL(\mathbb F_q)\).
The number of Euler tours of random directed graphs
Generalized permutohedra, \(h\)-vectors of cotransversal matroids and pure \(O\)-sequences
Balanced vertex decomposable simplicial complexes and their \(h\)-vectors
Symmetry in Gardens of Eden
Eigenvalue pairing in the response matrix for a class of network models with circular symmetry
A characterization of graphs by codes from their incidence matrices
An inhomogeneous lambda-determinant
Regularity of join-meet ideals of distributive lattices
The spectral excess theorem for distance-biregular graphs.
The combinatorics of interval vector polytopes
Can colour-blind distinguish colour palettes?
Embedding cycles in finite planes
A note on total and paired domination of Cartesian product graphs
The edit distance function and symmetrization
The adjacency matroid of a graph
Greedy trees, subtrees and antichains
Medial symmetry type graphs
On sumsets of multisets in \(\mathbb{Z}_p^m\)
Knots in collapsible and non-collapsible balls
Upper-bounding the \(k\)-colorability threshold by counting covers
Involutions on standard Young tableaux and divisors on metric graphs
Symmetric polynomials and symmetric mean inequalities
Integral circulant Ramanujan graphs of prime power order
On the size of Kakeya sets in finite vector spaces
Coloring 2-intersecting hypergraphs
Intersecting \(k\)-uniform families containing all the \(k\)-subsets of a given set
New spectral bounds on the chromatic number encompassing all eigenvalues of the adjacency matrix
On the relationship between pipe dreams and permutation words
From heaps of matches to the limits of computability
Product dimension of forests and bounded treewidth graphs
Enumerating finite racks, quandles and kei
Shattering, graph orientations, and connectivity
Delay colourings of cubic graphs
Nordhaus-Gaddum theorem for the distinguishing chromatic number
Self-avoiding walks and the Fisher transformation
Oriented hypergraphs: introduction and balance
The size of edge-critical uniquely 3-colorable planar graphs
A new statistic on the hyperoctahedral groups
Chains of length 2 in fillings of layer polyominoes
A note on the acquaintance time of random graphs
Linked partitions and permutation tableaux
Rational associahedra and noncrossing partitions
A note on forbidding clique immersions
Note on Nordhaus-Gaddum problems for Colin de Verdière type parameters
On the characteristic polynomial of \(n\)-Cayley digraphs
On Wilf equivalence for alternating permutations
The range of a random walk on a comb

Sommaire du Fascicule no. 4

Metric dimension for random graphs
Repeated columns and an old chestnut
A criterion for the log-convexity of combinatorial sequences
Generalized spectral characterization of graphs revisited
The Terwilliger algebra of the incidence graphs of Johnson geometry
Crossings and nestings in colored set partitions
Facets of the generalized cluster complex and regions in the extended Catalan arrangement of type \(A\)
Maximum induced forests in graphs of bounded treewidth
Random cyclations
Counting permutations modulo pattern-replacement equivalences for three-letter patterns
A bipartite graph with non-unimodal independent set sequence
The complexity of generalized domino tilings
The number of fixed points of Wilf's partition involution
New results on degree sequences of uniform hypergraphs
An approximate vertex-isoperimetric inequality for \(r\)-sets
Two layer 3D floor planning
Beyond alternating permutations: pattern avoidance in Young diagrams and tableaux
Skew spectra of oriented bipartite graphs
The Ramsey number \(R(3,K_{10}-e)\) and computational bounds for \(R(3,G)\)
Proof of Sun's conjecture on the divisibility of certain binomial sums
Separability of density matrices of graphs for multipartite systems
Cyclic decomposition of \(k\)-permutations and eigenvalues of the arrangement graphs
Computational results on the traceability of oriented graphs of small order
A bijection proving the Aztec diamond theorem by combing lattice paths
Random walks on quasirandom graphs
Enumeration of specific classes of polycubes
Spectra of edge-independent random graphs
On the codegree density of complete 3-graphs and related problems
Unique sequences containing no \(k\)-term arithmetic progressions
Enumeration of generalized BCI lambda-terms
New aspects of regions whose tilings are enumerated by perfect powers
Periodic coefficients and random Fibonacci sequences
Sparse distance sets in the triangular lattice
Tree-like tableaux
Inequivalence of skew Hadamard difference sets and triple intersection numbers modulo a prime
A basis for the diagonally signed-symmetric polynomials
On the Betti numbers of some classes of binomial edge ideals