Latest Articles for Combinatorics

Explore methods to count lattice paths across boundaries and their flaws.

Study the independence number behavior in random Cayley graphs as generating sets change.

Exploring column sums and their impact on complexity and applications.

An overview of fractionally Calabi-Yau lattices and their mathematical significance.

Exploring how groups interact with flag varieties through orbits and monoid actions.

Exploring the links between polyhedral products, toric geometry, and motivic homotopy theory.

Explore the links between root polytopes and quivers in mathematical studies.

An overview of matroids and their significance in mathematics.

Exploring star-critical Ramsey numbers and their implications in graph coloring.

Discover how game comonads connect logical properties with mathematical structures.

Understanding matroids, their types, and challenges in intersection problems.

A look into the structure and importance of posets in mathematics.

Explore the connections and applications of Fibonacci and Lucas numbers in mathematics and beyond.

This article explores the properties and applications of unipotent numerical monoids.

An overview of graph colouring concepts, particularly focusing on Kneser graphs and Stahl's conjecture.

A look into the flexibility and applications of -chromatic symmetric functions.

Explore the connections between Motzkin paths and projective geometry.

A study of upper homogeneous posets and their finite lattice cores.

A look at matching polytopes, Gorenstein types, and their integer properties.

Explore the significance of circle packings in understanding geometric surfaces.

This article explains dendroidal sets and the right cancellation property in mathematics.

A study on families of intersecting subgraphs and their limits.

Examining how descent and peak sets influence permutation growth rates.

Exploring new connections between biwords and Monge matrices through visual tools.

Explore the role of Hall-Littlewood polynomials in mathematics and their connections.

An overview of the Hilbert scheme, K-theory, and their mathematical connections.

Discover the role of affine semigroups and their lifts in mathematics.

Explore the world of integer partitions and their significance in mathematics.

Exploring Cauchy-complete categories, subtoposes, and rigid topologies in mathematics.

Exploring the relationship between Fibonacci sequences and Stirling numbers in mathematics.

Exploring the connection between marked bumpless pipedreams and compatible pairs.

Research highlights new methods for matchings in hypergraphs with conflict avoidance.

A look into incidence algebras and their representations in partially ordered sets.

Research reveals new limits on parameterized squares within strings.

A look into association schemes and their role in mathematical analysis.

An overview of post-Hopf algebras and their significance in mathematics and physics.

Catalan numbers play a vital role in combinatorial mathematics and various applications.

A look at nilCoxeter algebras and their significance in mathematics.

A look at partitions, ranks, and cranks in mathematics.

An overview of matroids and their connections to Chow rings and group actions.