Latest Articles for Combinatorics

This study explores perfect matchings in Dirac graphs and hypergraphs.

Exploring conflict-free coloring in graphs, hypergraphs, and practical applications.

A look into the mathematical exploration of changing dice labels while keeping sums consistent.

Exploring the significance of finite simple groups in mathematics.

A look into the study of quivers and their significance in mathematics.

Examining connections between the six-vertex model and random permutations through limit shapes.

Analyzing the impact of edgewise subdivision on simplex structures and their properties.

This study focuses on graphs where both chromatic number and maximum degree equal nine.

A look into counting k-regular graphs and their connected counterparts.

Explore tropical geometry and its connections to algebraic varieties through Chow groups.

Exploring the shapes and algebra behind polyominoes and their applications.

Explore the structures and properties of permutations in mathematics.

Understanding how numbers can be expressed as sums of other numbers.

This article explores the structure of perfect graphs and their comparability subgraphs.

A look into how labeling affects the symmetry of chromatic quasisymmetric functions.

Bell numbers help us partition sets, revealing their mathematical significance.

Explore the role of characters in analyzing group structures and their properties.

A study on counting permutations avoiding specific patterns and their inversions.

Investigating the edge limits of hypergraphs without bow tie formations.

A simplified view of Seshadri stratifications and Young-tableaux in algebraic geometry.

An overview of monochromatic tight cycles in edge-colored graphs and their significance.

Researching Schur-positivity through generalized nets and their chromatic symmetric functions.

This article explores weight multiplicities and their connections in algebra and representation theory.

Examining properties of perfect unitary Cayley graphs related to finite rings.

Explore the intriguing world of uniquely colorable hypergraphs and their properties.

A look at BP decompositions and their significance in mathematics.

Discover the fundamental concepts and applications of matroids in mathematics.

Explore derangements' role in permutation groups and their implications.

Investigating the limits of symmetric polynomials as variables increase.

A look into the role of anti-symmetric matrices in linear algebra.

Toric posets offer new insights into the study of partially ordered sets.

Exploring the properties and implications of positive semi-definite matrices in mathematics.

A look into Terwilliger algebras and their role in association schemes.

Research expands the application of hierarchical hyperbolicity in diverse mathematical structures.

A detailed exploration of Camina groups and their algebraic properties.

Discover the unique arrangements in squiral tiling and their implications.

An overview of symmetric functions, their properties, and key applications in mathematics.

A look into the complexities of counting rational curves and their singular points.

An overview of weighted walks and their implications in various fields.

Exploring the structure and significance of diagram algebras in mathematics.