Latest Articles for Combinatorics

Exploring the unique properties of edge-magic graphs and their significance.

An overview of partition algebras and their role in mathematics.

Exploring the balance of graph colorings and their implications in mathematics.

A look into methods of obtaining randomness from structured sources.

Explore the links between lattice path matroids and their applications in various fields.

An exploration of friezes formed by dissecting polygons into simpler shapes.

Explore the significance of framed graphs and their connections to knot theory.

A look into the properties and complexities of Gaussian random polytopes.

A look into the structure and applications of multiset partition algebras.

Examining number walls and the intriguing Littlewood Conjecture in mathematics.

A look at how Möbius homology reveals connections in posets.

A look into the significance and properties of fold partition diamonds in number theory.

A method in mathematics for analyzing chip movements on graphs.

A look at compact groups, sumsets, and their applications in mathematics.

Tropical geometry bridges algebraic geometry and combinatorics, revealing new insights into complex structures.

Explore the concept of trees and their significance in mathematics and combinatorics.

Learn about projective rectangles and their unique geometric properties.

An overview of Redei-Berge symmetric functions and their significance in directed graphs.

A study on connections in hypergraphs and the role of trees and bushes.

Dive into the world of generalized Bernoulli polynomials and their significance.

Exploring increasing subsequences and their connections within permutations and permutons.

Exploring the connections between Macaulay posets and Macaulay rings.

This article discusses Macdonald polynomials and their connections to algebra and combinatorics.

This article examines the behavior of walks in balanced colored graphs.

An overview of the Frobenius transform and its implications in mathematics.

Explore the concept of ideals and their impact on various mathematical fields.

Exploring the cycle double cover conjecture and its significance in graph theory.

This article examines posets, focusing on Whitney numbers, duality, and their roles in mathematics.

A look at polytopes, lattice points, and their mathematical significance.

A look at interval-closed sets and their toggling behavior.

Explore the connection between RAAGs and graph properties.

Explore how dominoes can be arranged in unique patterns on toroidal grids.

A look into tropical geometry and its role in counting curves.

A clear guide to extriangulated categories and their significance in various fields.

Explore the significance and applications of random Young tableaux in mathematics and beyond.

Researchers improve methods for finding Ramsey number counterexamples using new algorithms.

Exploring coloring techniques in hypergraphs and their mathematical implications.

A look into graph relationships through matchings and Turan numbers.

This article examines k-coloring and its significance in random hypergraphs.

A look into the dynamics of random matroids and their significance in mathematics.