Latest Articles for Graph Theory

Combinatorics The Intriguing World of Forcing Numbers

Discover how forcing numbers reveal stability in graphs and structures.

Qianqian Liu, Yaxian Zhang, Heping Zhang

2025-03-22T15:43:40+00:00 ― 5 min read

Machine Learning Reimagining Graph Analysis with GGNN Framework

Discover how GGNN transforms graph analysis through innovative methods.

Amirreza Shiralinasab Langari, Leila Yeganeh, Kim Khoa Nguyen

2025-03-22T05:33:54+00:00 ― 5 min read

Databases VRDAG: Transforming Graph Generation for Real-World Applications

Discover how VRDAG innovates data graph generation with dynamic attributes.

Fan Li, Xiaoyang Wang, Dawei Cheng

2025-03-22T04:45:45+00:00 ― 6 min read

Quantum Physics Graph States: The Key to Quantum Computing

Discover the importance of graph states in quantum computing.

Soumik Ghosh, Dominik Hangleiter, Jonas Helsen

2025-03-22T00:33:10+00:00 ― 6 min read

Combinatorics Friendship Math: Managing Connections

Discover how math helps us understand friendships and social interactions.

Ting-Wei Chao, Hung-Hsun Hans Yu

2025-03-21T21:04:50+00:00 ― 6 min read

Combinatorics Guarding Graphs: Roman Domination Explained

Discover how graph theory concepts relate to strategy and efficiency.

Ravindra Kumar, Om Prakash

2025-03-20T10:27:00+00:00 ― 6 min read

Machine Learning Mamba: Transforming Dynamic Graph Learning

Mamba framework addresses challenges in dynamic graphs for efficient learning and analysis.

Haonan Yuan, Qingyun Sun, Zhaonan Wang

2025-03-19T07:44:51+00:00 ― 6 min read

Machine Learning AGMixup: A Game Changer for Graph Learning

Revolutionizing machine learning with innovative graph mixup techniques.

Weigang Lu, Ziyu Guan, Wei Zhao

2025-03-19T05:20:24+00:00 ― 7 min read

Machine Learning Revolutionizing GNNs: The IGNN Breakthrough

Inceptive Graph Neural Networks bridge the gap between homophily and heterophily for better data representation.

Ming Gu, Zhuonan Zheng, Sheng Zhou

2025-03-18T06:04:03+00:00 ― 5 min read

Data Structures and Algorithms The Challenge of Maximum Weight Independent Set

A look into MWIS and its real-world applications.

Ernestine Großmann, Kenneth Langedal, Christian Schulz

2025-03-15T20:17:15+00:00 ― 7 min read

Machine Learning Revolutionizing Graph Learning with SIGNA

SIGNA simplifies graph learning using a single view approach.

Qingqiang Sun, Chaoqi Chen, Ziyue Qiao

2025-03-15T15:28:21+00:00 ― 7 min read

Combinatorics Decoding Minimal Automorphic Posets of Width Three

A journey through the fascinating world of posets and their structures.

Frank a Campo

2025-03-15T13:14:20+00:00 ― 7 min read

Combinatorics The Secrets of Edge-Graceful Labeling in Graphs

Discover the fascinating world of edge-graceful labeling in graph theory.

Aaron D. C. Angel, John Rafael M. Antalan, John Loureynz F. Gamurot

2025-03-15T07:54:40+00:00 ― 5 min read

Combinatorics The Intricacies of Graphical Arrangements

Discover the fascinating links between graphical arrangements and chromatic polynomials.

Tongyu Nian, Shuhei Tsujie, Ryo Uchiumi

2025-03-15T02:35:00+00:00 ― 5 min read

Combinatorics The Quest for Hamiltonian Paths in Graphs

Dive into the fascinating world of Hamiltonian paths and cycles in graph theory.

Florian Lehner, Farzad Maghsoudi, Babak Miraftab

2025-03-14T13:15:50+00:00 ― 5 min read

Spectral Theory The Secrets of Regular Graphs Revealed

Uncovering the intriguing eigenvalues and spectral edges of regular graphs.

Dingding Dong, Theo McKenzie

2025-03-12T18:38:30+00:00 ― 6 min read

Combinatorics The Intriguing World of Random Turan Problems

Discover the complex connections in random Turan problems and hypergraphs.

Jiaxi Nie, Sam Spiro

2025-03-12T13:18:50+00:00 ― 6 min read

Combinatorics The Intricacies of Digraphs and Symmetric Functions

Explore the deep connections between digraphs and symmetric functions in mathematics.

John Irving, Mohamed Omar

2025-03-09T16:03:10+00:00 ― 7 min read

Commutative Algebra The Colorful World of Graphs

Discover the fascinating properties of graphs and their real-life applications.

Joseph Brennan, Susan Morey

2025-03-09T10:43:30+00:00 ― 6 min read

Combinatorics The Intricacies of Trees and T-Fractions

Discover how trees and T-fractions reveal complex mathematical relationships.

Veronica Bitonti, Bishal Deb, Alan D. Sokal

2025-03-09T00:04:10+00:00 ― 6 min read

Combinatorics Balancing Connections: The Zarankiewicz Challenge

A look into the Unbalanced Zarankiewicz problem in graph theory.

Lili Ködmön, Anqi Li, Ji Zeng

2025-03-08T21:24:20+00:00 ― 6 min read

Combinatorics The Dance of Graph Theory and Stability

Exploring how dance parties reflect stable sets in graph theory.

Koji Matsushita, Akiyoshi Tsuchiya

2025-03-08T16:04:40+00:00 ― 6 min read

Machine Learning FTC-GNN: Speeding Up Graph Neural Networks

FTC-GNN revolutionizes GNN performance through efficient core integration.

Ka Wai Wu

2025-03-07T14:52:21+00:00 ― 8 min read

Combinatorics The Colorful World of Quasisymmetric Functions

Discover the impact of colors on quasisymmetric functions in mathematics.

Spencer Daugherty

2025-03-07T10:46:30+00:00 ― 7 min read

Machine Learning Dynamic Graph Embedding: A New Frontier

Explore how dynamic graph embedding transforms our understanding of changing networks.

Ashish Parmanand Pandey, Alan John Varghese, Sarang Patil

2025-03-06T13:59:42+00:00 ― 6 min read

Combinatorics Connecting Dots: The Magic of Chebyshev Polynomials and Fan Graphs

Discover how Chebyshev polynomials and fan graphs reveal hidden connections in math.

Wojciech Młotkowski, Nobuaki Obata

2025-03-06T10:48:00+00:00 ― 6 min read

Data Structures and Algorithms Understanding Bicliques: Connections in Graph Theory

Discover how bicliques help reveal hidden connections in networks and data.

George Manoussakis

2025-03-06T09:10:48+00:00 ― 6 min read

Social and Information Networks Random Walks: The Path to Connections

Explore how random walks reveal important connections in networks and social groups.

Haisong Xia, Wanyue Xu, Zuobai Zhang

2025-03-05T21:56:42+00:00 ― 5 min read

Combinatorics Counting Diagonalizable Matrices in Finite Fields

Discover how to count diagonalizable matrices using finite fields and graph theory.

Catherine Falvey, Heewon Hah, William Sheppard

2025-03-05T08:09:40+00:00 ― 6 min read

Machine Learning Revolutionizing Graph Sampling: A Game Changer

Introducing new methods for efficient graph data analysis.

Shashank N. Sridhara, Eduardo Pavez, Antonio Ortega

2025-03-04T23:18:36+00:00 ― 6 min read

Logic The Importance of Regularity Lemmas in Mathematics

Discover how regularity lemmas simplify complex structures in mathematics.

Anand Pillay, Atticus Stonestrom

2025-03-04T05:31:20+00:00 ― 6 min read

Combinatorics The Mystery of Unit-Distance Graphs

Discover the quest to maximize connections in unit-distance graphs.

Boris Alexeev, Dustin G. Mixon, Hans Parshall

2025-03-01T18:55:00+00:00 ― 5 min read

Machine Learning Smoothing the Data Gap with TDSS

A new method improves data adaptation between different sources.

Wei Chen, Guo Ye, Yakun Wang

2025-03-01T01:34:57+00:00 ― 6 min read

Machine Learning Revolutionizing Graph Node Clustering with THESAURUS

THESAURUS improves graph clustering by using semantic prototypes and structure.

Bowen Deng, Tong Wang, Lele Fu

2025-02-28T11:56:24+00:00 ― 6 min read

Combinatorics The Intriguing World of Random Graphs

Discover how random graphs shape our understanding of connections and rigidity.

Yuval Peled, Niv Peleg

2025-02-26T21:39:20+00:00 ― 7 min read

Combinatorics Spreading Secrets: The Art of Graph Burning

Discover how information spreads through networks using graph burning techniques.

Danielle Cox, M. E. Messinger, Kerry Ojakian

2025-02-26T11:00:00+00:00 ― 6 min read

Probability Connecting the Dots in Hyperbolic Space

A guide to random connections in complex spaces using simple concepts.

Matthew Dickson

2025-02-26T08:20:10+00:00 ― 5 min read

Combinatorics Unraveling the World of Directed Graphs

Discover the fascinating structures of rooted arborescences and covering graphs.

Muchen Ju, Junjie Ni, Kaixin Wang

2025-02-25T13:41:20+00:00 ― 5 min read

Computational Geometry Crossing Numbers: Navigating Graph Theory Challenges

Discover the fascinating world of crossing numbers in graph theory.

Thekla Hamm, Fabian Klute, Irene Parada

2025-02-25T03:41:24+00:00 ― 5 min read

Data Structures and Algorithms Dynamic Graphs: Balancing Stability and Approximation

A deep dive into dynamic graphs and algorithms for managing sets.

Mark de Berg, Arpan Sadhukhan, Frits Spieksma

2025-02-25T03:02:00+00:00 ― 6 min read