Latest Articles for Graph Theory

A look into the evolution of monoidal categories and their applications.

A look into graph structures and their distance properties.

A deep dive into community robustness and its implications.

New insights into the performance and convergence of Graph Neural Networks.

Exploring new algorithms for chordal and interval graphs in vertex deletion challenges.

Introducing effect-oriented graph transformation for flexible and effective graph manipulation.

A programming language simplifies writing and executing graph algorithms across various hardware.

New insights on triangle-free graphs reveal unlimited chromatic numbers and challenge past beliefs.

Exploring the behavior of random walks and their implications in graph theory.

This article explores the role of enhanced power graphs in studying finite groups.

EDGE offers a more efficient way to generate complex graphs.

Explore the Alon-Tarsi number and its significance in graph coloring and properties.

Exploring how quantum algorithms tackle optimization challenges, particularly the local max cut problem.

A look at how quantum algorithms can tackle the welded tree problem efficiently.

A new method for finding MST reduces memory requirements significantly.

This article discusses a new framework improving GNN capabilities for complex graph analysis.

A look into dual systolic graphs and their intriguing properties.

This study focuses on reducing block crossings in tanglegram diagrams.

A look at the properties and applications of self-loop graphs in various fields.

A look into the structures and characteristics of extremal families in combinatorial theory.

A new method enhances GNNs, tackling oversmoothing and improving performance.

This article discusses Wiener indices, minuscule posets, and their properties.

This article discusses effective pricing strategies in cactus graph structures for tollbooths.

A look into matching sizes and their importance in graph theory.

Exploring the properties and configurations of doubly Eulerian graphs and their avoidance indices.

Exploring the relationship between Jack derangements, partitions, and combinatorial structures.

A look into the complexities of covering a chessboard with queens.

A look into median and k-median graphs and their significance.

A look into connected blocks polytopes and their significance in graph theory.

A look into digital cones, suspensions, and their properties in digital topology.

This study presents new methods for fairly dividing items represented by graphs.

A look into degree sequences and their significance in hypergraphs.

Exploring the relationship between folded quivers and cluster algebras in mathematics.

New findings improve Cheeger’s inequality, enhancing understanding of graph properties.

Exploring the dynamics of coalitions and their role in graph structures.

A look into saturation numbers in graphs and their applications.

A closer look at nilpotent matrices and their Jordan types in linear algebra.

A new strategy enhances the efficiency of creating graph states for quantum applications.

A look into the principles of oriented colouring in directed graphs.

This study examines rainbow Hamilton cycles in uniformly colored perturbed graphs.