Latest Articles for Combinatorics

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.

A look into Ramsey numbers, hypergraphs, and coloring in combinatorics.

Insights into words and their structures within the Weyl algebra.

A look into the dimer arrangements and their applications in various fields.

Exploring the relationship between chambers and independent sets in geometry using Kneser graphs.

Exploring Hamilton paths and their existence in cube hypergraphs.

This article examines chambers, vector spaces, and the Erdős-Ko-Rado problem in combinatorics.

Explore the fascinating world of toric varieties and their unique properties.

A look into the behaviors of dimers on unique hyperbolic structures.

A look into construction schemes and infinite sets.

An overview of quantum cluster algebras and their applications in various fields.

A detailed look at dicyclic groups and their generating graphs.

A study on Galois extensions and their discriminants in number theory.

A look into the structures and properties of quiver Grassmannians.

Discover the connection between flag manifolds and quantum cohomology in mathematics.

A look into techniques for counting regular graphs and their applications.

A look into graph theory and the properties of triangle counts.

Exploring how graphs and hypergraphs reveal relationships in different fields.

Explore the significance of hypergraphs in mathematics and their applications.

Examining how lattices relate to arithmetic models and their characteristics.