Latest Articles for Combinatorics

Examining how walls relate to the Erdős-Pósa property in graph theory.

Exploring the intricacies and challenges of disk packing in geometry.

Examining links between cluster algebras and dimer configurations.

Discover the significance and applications of plactic monoids in mathematics.

This article examines combinatorial identities using probabilistic methods for new insights.

A fresh mathematical identity simplifies complex expressions and fosters connections between functions.

Mathematicians make progress in understanding the Heilbronn triangle problem and its implications.

This study sheds light on the role of ordered matchings in Ramsey theory.

A discussion on symmetric polynomials and their role in fields with positive characteristics.

This article explores the properties and importance of scalar generalized Verma modules in representation theory.

Explore the significance of dilogarithm, trilogarithm, and polylogarithm in mathematical problem-solving.

A look at the breakdown of whole numbers into sums of smaller integers.

This article examines spanning subdivisions and their significance in graph theory.

Explore the grading aspects of affine Weyl semi-groups in algebra and geometry.

This article examines the relationship between two important types of polynomials.

A look into the polynomial eigenfunctions of the Nazarov-Sklyanin Lax operator and their implications.

Explore the structure and properties of quivers in mathematics.

Examining hyperplanes' role in covering hypercubes with a focus on almost k-covers.

Exploring the existence and properties of zero-sum cycles in directed graphs.

Explore the essentials of tropical geometry and its impact on mathematics.

Examining periodic points through function iterations and interval arrangements.

An overview of tableaux and the importance of insertion algorithms in mathematics.

Exploring the properties and implications of sum-free sets in number theory.

A look into frame polyominoes and their unique properties.

Discover the connections and concepts behind cluster algebras in mathematics.

A deep dive into Jacobi Ensemble and Hurwitz numbers.

Explore the key concepts of permutations and partitions and their mathematical significance.

A look into matroid lifts and their applications in various mathematical fields.

Mathematicians tackle the union-closed conjecture with renewed interest and collaboration.

A look into small automorphisms and edge colorings in graph theory.

Exploring the link between sorting methods and parking arrangements.

A study linking flattened Stirling permutations to set partitions and run counting.

An overview of generalized geometric representations and their implications in mathematics.

A look into nilsequences and their role in number theory and combinatorics.

Exploring edge limits in planar graphs without forming specific cycles.

Exploring the significance of even and odd partitions in mathematics.

Explore the connections and implications of snake graphs in various mathematical domains.

Exploring the links between matroid powers and tropical geometry.

Exploring the links between parking functions, weak orders, and their mathematical significance.

Exploring the unique properties and applications of left regular bands of groups.