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Within the endeavour of modelling and understanding the propagation of delays in transportation networks, an approach that has attracted increasing interest in the last decade is the creation of functional network representations. These…

Physics and Society · Physics 2025-10-08 Carlson Moses Büth , Massimiliano Zanin

The Intelligent Transportation System (ITS) is an important part of modern transportation infrastructure, employing a combination of communication technology, information processing and control systems to manage transportation networks.…

Machine Learning · Computer Science 2023-06-05 Hongde Wu , Sen Yan , Mingming Liu

Being cognizant of the abundance of multi-body interactions in various complex systems, here we investigate a possible way to incorporate multi-body interactions in dynamical networks. Adopting hypergraph as the underlying architecture aids…

Dynamical Systems · Mathematics 2023-03-24 Anirban Banerjee , Samiron Parui

Graph Neural Networks (GNNs) have emerged as a promising tool to handle data exhibiting an irregular structure. However, most GNN architectures perform well on homophilic datasets, where the labels of neighboring nodes are likely to be the…

Machine Learning · Computer Science 2024-12-03 Victor M. Tenorio , Madeline Navarro , Samuel Rey , Santiago Segarra , Antonio G. Marques

The transition away from carbon-based energy sources poses several challenges for the operation of electricity distribution systems. Increasing shares of distributed energy resources (e.g. renewable energy generators, electric vehicles) and…

Machine Learning · Computer Science 2021-03-15 Francesco Fusco , Bradley Eck , Robert Gormally , Mark Purcell , Seshu Tirupathi

Hypergraphs, increasingly utilised to model complex and diverse relationships in modern networks, have gained significant attention for representing intricate higher-order interactions. Among various challenges, cohesive subgraph discovery…

Social and Information Networks · Computer Science 2025-07-14 Dahee Kim , Hyewon Kim , Song Kim , Minseok Kim , Junghoon Kim , Yeon-Chang Lee , Sungsu Lim

Graphs serve as fundamental descriptors for systems composed of interacting elements, capturing a wide array of data types, from molecular interactions to social networks and knowledge graphs. In this paper, we present an exhaustive review…

Machine Learning · Computer Science 2024-11-13 Chenqing Hua

Human Mobility has attracted attentions from different fields of studies such as epidemic modeling, traffic engineering, traffic prediction and urban planning. In this survey we review major characteristics of human mobility studies…

Social and Information Networks · Computer Science 2013-07-04 Fereshteh Asgari , Vincent Gauthier , Monique Becker

Graph neural networks (GNNs) have achieved remarkable success in node classification. Building on this progress, heterogeneous graph neural networks (HGNNs) integrate relation types and node and edge semantics to leverage heterogeneous…

Machine Learning · Computer Science 2025-10-08 Xiao Yang , Xuejiao Zhao , Zhiqi Shen

We develop a graph-based model of the hydrogen bond network in water, with a view towards quantitatively modeling the molecular-level correlational structure of the network. The networks are formed are studied by the constructing the model…

Statistical Mechanics · Physics 2018-06-19 Rahul Dandekar , Ali A. Hassanali

Complex systems are often driven by higher-order interactions among multiple units, naturally represented as hypergraphs. Understanding dependency structures within these hypergraphs is crucial for understanding and predicting the behavior…

Social and Information Networks · Computer Science 2025-05-29 John Hood , Caterina De Bacco , Aaron Schein

We propose high-order hypergraph walks as a framework to generalize graph-based network science techniques to hypergraphs. Edge incidence in hypergraphs is quantitative, yielding hypergraph walks with both length and width. Graph methods…

Physics and Society · Physics 2020-06-09 Sinan G. Aksoy , Cliff Joslyn , Carlos Ortiz Marrero , Brenda Praggastis , Emilie Purvine

For more than 150 years the structure of the periodic system of the chemical elements has intensively motivated research in different areas of chemistry and physics. However, there is still no unified picture of what a periodic system is.…

Discrete Mathematics · Computer Science 2019-05-16 Wilmer Leal , Guillermo Restrepo

Many complex systems involve interactions between more than two agents. Hypergraphs capture these higher-order interactions through hyperedges that may link more than two nodes. We consider the problem of embedding a hypergraph into…

Social and Information Networks · Computer Science 2023-01-06 Xue Gong , Desmond J. Higham , Konstantinos Zygalakis

Network data has become widespread, larger, and more complex over the years. Traditional network data is dyadic, capturing the relations among pairs of entities. With the need to model interactions among more than two entities, significant…

Social and Information Networks · Computer Science 2025-05-30 Hao Tian , Reza Zafarani

Networks are often studied as graphs, where the vertices stand for entities in the world and the edges stand for connections between them. While relatively easy to study, graphs are often inadequate for modeling real-world situations,…

Networking and Internet Architecture · Computer Science 2009-09-25 David I. Spivak

Knowledge graph is a popular format for representing knowledge, with many applications to semantic search engines, question-answering systems, and recommender systems. Real-world knowledge graphs are usually incomplete, so knowledge graph…

Machine Learning · Computer Science 2023-04-26 Hung Nghiep Tran , Atsuhiro Takasu

Complex network theory has been used to study complex systems. However, many real-life systems involve multiple kinds of objects . They can't be described by simple graphs. In order to provide complete information of these systems, we…

Physics and Society · Physics 2015-11-10 Jin-Li Guo , Xin-Yun Zhu

Networks-of-networks (NoN) is a graph-theoretic model of interdependent networks that have distinct dynamics at each network (layer). By adding special edges to represent relationships between nodes in different layers, NoN provides a…

Cryptography and Security · Computer Science 2016-11-17 Mahantesh Halappanavar , Sutanay Choudhury , Emilie Hogan , Peter Hui , John R. Johnson , Indrajit Ray , Lawrence Holder

A heterogeneous graph consists of different vertices and edges types. Learning on heterogeneous graphs typically employs meta-paths to deal with the heterogeneity by reducing the graph to a homogeneous network, guide random walks or capture…

Machine Learning · Statistics 2023-03-06 See Hian Lee , Feng Ji , Wee Peng Tay