Latest Articles for Combinatorics

New estimates shed light on Ramsey numbers and graph coloring.

A look into how hyperplanes divide spaces and create regions.

This article explores how stack-sorting reveals geometric shapes through number arrangements.

A deep look into line arrangements and their mathematical properties.

An overview of representations and partitions in group theory and combinatorics.

A look into the structures and patterns in Hardinian arrays.

Explore the significance of friezes in the study of cluster algebras.

Quasisymmetric functions connect algebra and combinatorics, revealing complex structures.

Discover the unique properties and applications of grid polyominoes in mathematics.

Exploring how element selection influences sums and differences in number sets.

A look at the role of overpartitions in number theory and their patterns.

A look into the significance of posets and their polytopes in mathematics.

An overview of LLT polynomials and their significance in various mathematical fields.

Exploring the relationship between line arrangements and algebraic ideals.

A study on point arrangements and their implications in combinatorics and group theory.

This article examines the connections in friends-and-strangers graphs and their implications.

Discover how neighbor complexes reveal connections in random graphs.

A look into ergodic averages and their role in prime number patterns.

Exploring the connection between graph properties and group structures using right-angled Artin groups.

This article examines how patterns in integer compositions change with size.

A look at Young diagrams and their role in understanding symmetric groups.

A look into graph coloring strategies and Ramsey theory's implications.

Examining Eulerian polynomials and their significance in directed graphs and combinatorics.

An examination of general position sets and their significance in mathematics.

A look into integer partitions, strict partitions, and their properties.

This article examines a framework for colored immaculate functions in algebra.

This study investigates Bruhat intervals and their connection to convex geometry.

This article discusses Ehrhart polynomials and counting points in generic orthotopes.

This article presents a fresh view on the Four Color Theorem using R/G/B coloring and graph analysis.

Explore the relationships between toric varieties, flips, and sheaf stability.

Exploring the balance and connections within alternating sign shapes in combinatorics.

An overview of perfect matchings in graph theory and their significance.

New findings shed light on coloring triangle-free graphs and Vizing's problem.

A look into the relationships within 2-level polytopes and their subsets.

A look into the unique properties of edge-ordered graphs and their restrictions.

Tropical geometry merges algebraic and combinatorial geometry to study curves.

Explore the links between graph theory, walking distances, and physics concepts.

A look into how MVP parking functions reorder car parking based on preferences.

A concise overview of edge ideals in algebra and their significance in graph theory.

A look at how residues behave within Pascal's Triangle under prime conditions.