Latest Articles for Combinatorics

A look into language patterns and their density in shift spaces.

A look into the counting of points in toric varieties and their properties.

Exploring the relationship between non-intersecting paths and Pfaffians in mathematics.

Explore the role of hypergeometric functions in number theory and beyond.

A simplified look at universal sets and their sumsets in mathematics.

Examining a new operator in representation theory and its implications.

A study of polytopes formed from multipartite graphs and their properties.

Matricubes offer insights into arrangements of mathematical objects through flags and rank functions.

Exploring the relationship between dimer models, boundary algebras, and positroids.

A deep dive into Littlewood identities and their significance in mathematics.

Exploring the significance and properties of large sets near idempotents.

Exploring the link between symmetric tropical matrices and bicolored trees.

A look into how parking functions model car parking and avoid patterns.

Examining closed curves and their properties on the once-punctured torus surface.

Explore the relationships between matroids and quivers in mathematics.

This study examines the complexities of the -Coloring problem in graphs.

An introduction to the significance of affine root systems in mathematics.

Examining key concepts of independent sets and hitting sets across various graphs.

An overview of log-concavity and its significance in combinatorial structures.

Geometric Ramsey theory studies shapes in colored spaces, revealing fascinating patterns.

A look at graph embeddings and the conditions needed for their mapping.

A look at cluster algebras, their properties, and significant results in the field.

This article explores coloring methods and their implications in graph theory.

Explore the significance of Burnside rings in group actions and symmetric structures.

Exploring complex behaviors of conjugacy classes in dihedral Artin groups.

Learn how rectangulations aid in layout efficiency and design.

Partition identities bridge mathematics and physics, offering insights into complex systems.

Ramsey's theorem reveals uniformity patterns in combinatorial arrangements.

Exploring the links between torus knots and generalized Schroder paths.

A look at Young diagrams and their role in algebraic representation theory.

An overview of Ramsey numbers and their significance in directed graphs.

Exploring the role of hook Specht modules in group representations.

Explore how Zeckendorf numeration relates to automata and Mahler equations.

Learn about lattice walks and their applications in various fields.

Examining core sets and their significance in matrix rings.

This article explores tropical geometry and its key concepts.

This article explores the dynamics of rowmotion and whirling in partially ordered sets.

A deep look into sets, mappings, and their roles in mathematics.

A look into the structure and properties of hypergraph algebras.

Exploring the world of overpartitions and their mathematical significance.