Latest Articles for Combinatorics

Explore methods for identifying stable sets within graph structures governed by matroid rules.

Explore the unique traits of conjugation-invariant random permutations.

This article explores the unique properties and applications of -operads in combinatorial mathematics.

An exploration of Schur functors and their impact on various mathematical fields.

Exploring the organized structures in colorings of pairs through Ramsey's theorem.

A look into augmented webs and their role in understanding mathematical patterns.

Exploring properties and behaviors of random centrosymmetric matrices and their eigenvalues.

Exploring the role and impact of pseudoline arrangements in mathematical theory.

Explore the role of polynomials in finite fields and their key applications.

A look at cluster algebras and their impact on various mathematical fields.

Research identifies instances of cyclic sieving in permutation mappings using SageMath.

Examining difficulties in finding bases in labeled matroids based on abelian groups.

Discover the intricate world of cluster algebras and their mathematical significance.

This article examines the link between Dyck paths and integer compositions in mathematics.

A study on Temperley-Lieb crystals and their significance in algebra and geometry.

A look into how sums, differences, and dilates affect sets of integers.

An overview of key concepts in mathematical structures and their significance.

A look into PushTASEP systems and their behaviors using Macdonald polynomials.

Exploring lattice paths and the proof of Cigler's Conjecture.

A look into numerical semigroups and their importance in mathematics.

A look into interpolation polynomials and their significance in various fields.

Exploring partial alternating sign matrices and their connections to other mathematical structures.

This article examines the relationship between networks and linear partitions in BPS states.

Explore the relationship between parking functions and their statistical properties.

Exploring the links between matroid quotients and tropical geometry.

A look into generating combinations using mathematical concepts and structures.

An overview of shellable complexes and their significance in various mathematical fields.

This article examines tropical covers and their impact on moduli spaces.

Exploring methods for tiling unique hexagonal shapes using two types of tiles.

A look into parking functions and their geometric representations.

Exploring the various types of permutation factorizations and their implications.

Discover the significance of partitions in group theory and representation.

A look into the dynamics of Legendrian links and their fillings.

A look into Ramsey and Turan theories in graph structures.

An overview of tropical moduli maps and their role in algebraic curve study.

A deep dive into rainbow saturation numbers and edge-coloring challenges in graph theory.

This article reveals minimal cellular resolutions for path ideals in graph theory.

We introduce a probabilistic approach to combinatorial proofs and polynomial identities.

An exploration of a mathematical puzzle and its different elimination rules.

An overview of key concepts in graph theory and their relevance.