Latest Articles for Network Theory

Machine Learning Advancements in Multi-Relational Networks Using Prime Adjacency Matrices

Improving analysis of complex networks through innovative matrix representation techniques.

Konstantinos Bougiatiotis, Georgios Paliouras

2025-05-21T05:50:06+00:00 ― 6 min read

Social and Information Networks Understanding Graph Alignment and Degree Matrix Comparison

Learn how graphs can be aligned using Degree Matrix Comparison techniques.

Ashley Wang, Peter Chin

2025-05-21T05:18:48+00:00 ― 6 min read

Data Structures and Algorithms Keeping Connections in a Family Tree

A guide to maintaining important links in a family tree despite missing members.

Asaf Petruschka

2025-05-21T03:00:27+00:00 ― 4 min read

Probability How Connections Shape the Spread of Ideas and Infections

Explore how network structures influence the spread of ideas and diseases.

Gadi Fibich, Yonatan Warman

2025-05-15T00:48:40+00:00 ― 5 min read

Dynamical Systems Understanding Polydiagonal Subspaces in Mathematical Systems

Explore the significance of polydiagonal subspaces in various fields.

John M. Neuberger, Nándor Sieben, James W. Swift

2025-05-14T05:04:48+00:00 ― 5 min read

Discrete Mathematics Connecting the Dots: The Art of Graph Generation

A look into graph generation and its significance in connecting the world.

Xiaorui Qi, Yanlong Wen, Xiaojie Yuan

2025-05-13T20:32:00+00:00 ― 7 min read

Probability The Hidden Patterns in Graphs with Rules

Discover how rules affect connections in graphs and reveal intriguing patterns.

Charles Radin, Lorenzo Sadun

2025-05-08T15:29:52+00:00 ― 6 min read

Machine Learning Detective Work in Temporal Graphs

New methods boost outlier detection in evolving networks.

Kay Liu, Jiahao Ding, MohamadAli Torkamani

2025-04-28T12:37:00+00:00 ― 5 min read

Adaptation and Self-Organizing Systems The Dance of Adaptive Networks

Explore how connections in adaptive networks shape synchronization and dynamics.

S. Nirmala Jenifer, Dibakar Ghosh, Paulsamy Muruganandam

2025-04-22T11:05:39+00:00 ― 7 min read

Numerical Analysis Updating Katz Centrality in Dynamic Networks

Learn how to efficiently update Katz centrality scores in changing networks.

Francesca Arrigo, Daniele Bertaccini, Alessandro Filippo

2025-04-20T09:40:30+00:00 ― 5 min read

Social and Information Networks Understanding Temporal Cliques in Networks

Explore how temporal cliques reveal dynamic group interactions over time.

Hanjo D. Boekhout, Frank W. Takes

2025-04-20T03:43:39+00:00 ― 5 min read

Metric Geometry Understanding Hypergraphs: Beyond Simple Connections

A study of hypergraphs offers new ways to measure complex relationships.

Tom Needham, Ethan Semrad

2025-04-14T23:08:40+00:00 ― 5 min read

Information Theory Effective Communication: Handling Multiple Access Channels

Learn how multiple access channels improve communication in noisy environments.

Xiaoqi Liu, Pablo Pascual Cobo, Ramji Venkataramanan

2025-04-10T20:34:50+00:00 ― 7 min read

Methodology Unlocking the Secrets of Network Analysis

Dive into the world of networks and uncover hidden relationships.

Yuang Tian, Jiajin Sun, Yinqiu He

2025-04-03T08:55:38+00:00 ― 6 min read

Probability The Intriguing World of Graph Theory

Discover the dynamics of random graphs and the Karp-Sipser algorithm.

Thomas Budzinski, Alice Contat

2025-04-01T10:09:00+00:00 ― 6 min read

Combinatorics Navigating Unsplittable Multiflow Networks

Learn how unsplittable multiflows efficiently route demands in networks.

Mohammed Majthoub Almoghrabi, Martin Skutella, Philipp Warode

2025-03-28T18:14:30+00:00 ― 6 min read

Methodology Connecting Species: The Study of Dynamic Networks

Scientists explore how species interact and adapt in changing ecosystems.

Jennifer Noelle Kampe, Luca Alessandro Silva, Tomas Roslin

2025-03-12T02:51:23+00:00 ― 6 min read

Statistical Mechanics The Impact of Physical Damage on Networks

How networks respond to physical disruptions and what it means for us.

Luka Blagojević, Ivan Bonamassa, Márton Pósfai

2025-03-11T13:46:40+00:00 ― 7 min read

Machine Learning Understanding Knowledge Graphs: A Comprehensive Overview

Learn how Knowledge Graphs organize data for better analysis and predictions.

Jeffrey Sardina, John D. Kelleher, Declan O'Sullivan

2025-03-11T01:31:48+00:00 ― 6 min read

Adaptation and Self-Organizing Systems The Dynamic World of Spiking Nodes

Discover how spiking nodes mimic brain behavior and adapt to changes.

S. Barland, O. D'Huys, R. Veltz

2025-03-06T21:31:34+00:00 ― 6 min read

Distributed, Parallel, and Cluster Computing The Importance of Even-Cycle Detection in Networks

Learn why even-cycle detection is crucial for network efficiency.

Pierre Fraigniaud, Maël Luce, Frédéric Magniez

2025-03-06T03:33:45+00:00 ― 5 min read

Statistical Mechanics Balancing Resources in Networks with Smart Strategies

Learn how resetting protocols can evenly distribute resources in complex networks.

Francesco Coghi, Kristian Stølevik Olsen

2025-03-05T18:27:30+00:00 ― 8 min read

Statistical Mechanics The Curious Case of the Non-Backtracking Ghost

Discover how non-backtracking random walks shape network behaviors and patterns.

Dor Lev-Ari, Ido Tishby, Ofer Biham

2025-03-01T06:59:00+00:00 ― 5 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

Analysis of PDEs Connecting Kinetic and Graph Theories

Exploring the links between particle behavior and network relationships.

Datong Zhou

2025-02-23T16:24:10+00:00 ― 6 min read

Machine Learning Simplifying Dynamic Networks: A Deeper Look

Understanding how to analyze ever-changing connections in complex networks.

Haixu Wang, Jiguo Cao, Jian Pei

2025-02-19T03:18:14+00:00 ― 6 min read

Combinatorics The Fascinating World of Hypergraphs

Explore the unique properties and dynamics of hypergraphs and random processes.

Felix Joos, Marcus Kühn

2025-02-18T19:11:30+00:00 ― 4 min read

Combinatorics The Colorful World of Rainbow Arborescences

Discover the intriguing Rainbow Arborescence Conjecture in graph theory.

Kristóf Bérczi, Tamás Király, Yutaro Yamaguchi

2025-02-16T00:35:40+00:00 ― 4 min read

Statistical Mechanics The Dynamics of Magnetic Networks

Explore how spin interactions create phase transitions in magnetic systems.

R. A. Dumer, M. Godoy

2025-02-14T00:46:20+00:00 ― 5 min read

Quantum Physics Graph Theory Meets Quantum Computing

Discover how quantum computing enhances graph analysis and unlocks new insights.

Massimiliano Incudini, Casper Gyurik, Riccardo Molteni

2025-02-13T00:05:34+00:00 ― 6 min read

Physics and Society The Noisy Voter Model: Aging and Opinions

Discover how aging shapes opinions in social networks.

Jaume Llabrés, Sara Oliver-Bonafoux, Celia Anteneodo

2025-01-31T11:09:46+00:00 ― 8 min read

Adaptation and Self-Organizing Systems The Dance of Double Explosive Transitions

Discover the rhythms of synchronization in complex networks.

Sangita Dutta, Prosenjit Kundu, Pitambar Khanra

2025-01-26T22:05:44+00:00 ― 6 min read

Combinatorics Graphs and Tensors: Mapping Connections

Explore how graphs and tensors reveal relationships in data.

Chunmeng Liu, Changjiang Bu

2025-01-26T06:26:50+00:00 ― 6 min read

Combinatorics The Spread of Laughter: Bootstrap Percolation Explained

Explore how infections spread through graphs using bootstrap percolation.

Fengxing Zhu

2025-01-19T11:57:00+00:00 ― 5 min read