Latest Articles for Combinatorics

A deep look into monotone grid classes and their counting challenges.

Explore connections between Tesler matrices, Lusztig data, and their representations.

Explore the basics and importance of graph structures and their properties.

A study on descents, inversions, and their implications in permutations.

This article examines how symmetrization links polytopes and posets in mathematics.

Explore Mahonian numbers and their significance in counting permutations and inversions.

A look into the relationship between tiered trees and parking functions in mathematics.

A look into strongly stable ideals and their significance in algebra.

A look into how numbers can be partitioned and their significance.

This study reveals how all positive integers relate to fertility numbers in stack-sorting.

A look at Gorenstein flow polytopes and the role of equatorial flow triangulations.

This article examines infinite cliques and their relationship with graph properties.

Discover conditions for polynomials with roots across positive integers.

A study of random hypergraphs, focusing on subgraph counts and statistical behavior.

Exploring the significance and applications of higher continued fractions in mathematics.

A look into locating-chromatic numbers and their significance in graph coloring.

Exploring the patterns and properties of binomial coefficients and their significance.

Explore the unique characteristics of shifted and threshold matroids and their applications.

An overview of the significance and classification of finite simple groups.

Exploring the additive properties of sets and their relationships in mathematics.

This study expands dimer models and explores complex surfaces using the web trace theorem.

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.