Latest Articles for Combinatorics

Research reveals complexities in polytopes and sparse groups, challenging previous assumptions.

A detailed look at toric varieties and their relationships through interpolation.

This article examines the addition of hyperplanes and their characteristics in arrangements.

This article presents a fresh perspective on hyperplane arrangements and their stability.

Researching structures that connect points in infinite graphs with unique properties.

This article reviews the relationships between loops and triangles in free factor complexes.

Discover how partitions, idempotents, and group actions connect in mathematics.

An overview of counting methods in lattice walks and their connections to mathematics.

This paper examines unique ways to express numbers using specific sequences.

Explore the unique properties and significance of Fano simplices in geometry.

This article explores the properties and importance of cubic graphs with a defect of 3.

Exploring the relationships and limits of affine configurations in mathematics.

Exploring connections between stationary descendents and quasimodular forms in mathematics.

An exploration of quadratic residues and their distribution in prime fields.

Explore the fascinating connections between Hindman spaces, ideals, and convergence.

Explore Kneser graphs, dominating sets, and their significance in various fields.

Exploring the structure and properties of strictly Neumaier graphs.

Explore the features and properties of hierarchical hyperbolic spaces.

This study investigates cycles that connect all vertices using diagonals in graph structures.

Investigating the significance of Artin-Hasse series coefficients in number theory.

Exploring the connections between tropical geometry and classical concepts through Chern classes.

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.