Latest Articles for Combinatorics

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

Exploring the structure and significance of diagram algebras in mathematics.

A look into trees and their properties in mathematics.

Exploring the structure and significance of random trees in various fields.

Analyzing generating functions for paths in a grid's first quadrant.

This article explores hypergeometric functions and their significance in number theory.

This article explores independent sets in trees and hypertrees, including patterns and properties.

A look at edge-coloring and its role in rainbow-saturated graphs.

A clear guide to scattering diagrams, gradings, and positivity in combinatorics.

Explore the links between zonotopes, graphs, and their properties.

Examining relationships and properties of graphs through extremal combinatorics.

A look into perfect matchings and the role of bricks in graph theory.

Examining arrangements of red and blue points forming empty triangles.

A look into simply rooted families and their connection to cubical sets.

A look into Ehrhart polynomials and unique properties of reflexive polytopes.

Exploring properties and sizes of k-intersecting polynomial families over finite fields.

A look into the properties and classifications of bipartite and theta graphs.

This article examines how edge changes in directed graphs affect associated shapes.

Explore the playful world of permutations and grid transformations.

Explore the structure and significance of ordinal graphs in mathematics.

Explore the world of rational points on circles and their applications.

A look into the fascinating structure and properties of matroids.

Exploring edge coloring techniques in split graphs and their unique properties.

Exploring the relationship between artistic expression and mathematical spaces.

Explore how antichains help in counting combinations within Boolean lattices.

Exploring the relationship between Kazhdan-Lusztig and Gelfand-Tsetlin bases.

Discover the fascinating world of generalized Motzkin numbers and their colorful paths.

A closer look at the structure and applications of double almost-Riordan arrays.

Discover the intricate world of hypergraphs and their properties through unified matrices.

Exploring relationships and characteristics of Weyl modules and homomorphisms.

Explore the fascinating world of organizing numbers into two-dimensional shapes.

Discover the fun dynamics of prism graphs and their perfect matchings!

Discover the vibrant world of tropical geometry and its unique concepts.

Explore Chevalley polytopes and their mathematical relationships in geometry.

Learn how colored partition algebras group items in unique ways.

Exploring the presence of even cycles in sparse graphs through new research.

Mathematicians seek to expand unique number collections called Sidon sets.

Discover the fun world of graph coloring with triangles.

Explore the basics and applications of diagram monoids in various fields.

A look into coloring strategies for directed graphs and their characteristics.