Latest Articles for Combinatorics

New techniques in order sweep maps enhance path analysis in mathematics.

An overview of combinatorial problems related to joints and graph theory.

Exploring the relationship between intersection numbers, polynomials, and partition sequences.

A look into noncommutative algebra's structures and their significance in various fields.

An overview of special biserial algebras and their classifications in mathematics.

A look into symplectic tableaux and their significance in group theory.

This article discusses Kalai's conjecture and symmetry in polytopes.

A look into the role of partition diagrams in Combinatorial Hopf Algebra.

A look into the Erdős problem and its modular implications.

A study of base sizes in permutation groups and their applications.

Discover the mathematical patterns in Bulgarian Solitaire and its surprising insights.

Permutrees blend features of binary trees and permutations to represent complex relationships.

Exploring the role and implications of rainbow cliques in edge-colored graphs.

Dive into the concepts of multisets and partitions in mathematics.

A look at triangulations, bistellar moves, and their significance in mathematics.

A look into how numbers can be expressed as sums of integers.

This article discusses character ratios and their implications in various mathematical fields.

This article reviews findings on edge ideals and their connection to -numbers.

A look at the limits of edges in planar graphs without specific subgraphs.

Research reveals complexities in polytopes and sparse groups, challenging previous assumptions.

A detailed look at toric varieties and their relationships through interpolation.

This article examines the addition of hyperplanes and their characteristics in arrangements.

This article presents a fresh perspective on hyperplane arrangements and their stability.

Researching structures that connect points in infinite graphs with unique properties.

This article reviews the relationships between loops and triangles in free factor complexes.

Discover how partitions, idempotents, and group actions connect in mathematics.

An overview of counting methods in lattice walks and their connections to mathematics.

This paper examines unique ways to express numbers using specific sequences.

Explore the unique properties and significance of Fano simplices in geometry.

This article explores the properties and importance of cubic graphs with a defect of 3.

Exploring the relationships and limits of affine configurations in mathematics.

Exploring connections between stationary descendents and quasimodular forms in mathematics.

An exploration of quadratic residues and their distribution in prime fields.

Explore the fascinating connections between Hindman spaces, ideals, and convergence.

Explore Kneser graphs, dominating sets, and their significance in various fields.

Exploring the structure and properties of strictly Neumaier graphs.

Explore the features and properties of hierarchical hyperbolic spaces.

This study investigates cycles that connect all vertices using diagonals in graph structures.

Investigating the significance of Artin-Hasse series coefficients in number theory.

Exploring the connections between tropical geometry and classical concepts through Chern classes.