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A digraph is connected-homogeneous if any isomorphism between finite connected induced subdigraphs extends to an automorphism of the digraph. We consider locally-finite connected-homogeneous digraphs with more than one end. In the case that…

Combinatorics · Mathematics 2010-11-30 Robert Gray , Rognvaldur G. Moller

Controlling real-world networked systems, including ecological, biomedical, and engineered networks that exhibit higher-order interactions, remains challenging due to inherent nonlinearities and large system scales. Despite extensive…

Optimization and Control · Mathematics 2026-03-23 Joshua Pickard , Xin Mao , Can Chen

Social decisions made by individuals are easily influenced by information from their social neighborhoods. A key predictor of social contagion is the multiplicity of social contexts inside the individual's contact neighborhood, which is…

Databases · Computer Science 2020-07-16 Jinbin Huang , Xin Huang , Jianliang Xu

Many real-world graphs (networks) are heterogeneous with different types of nodes and edges. Heterogeneous graph embedding, aiming at learning the low-dimensional node representations of a heterogeneous graph, is vital for various…

Social and Information Networks · Computer Science 2021-12-15 Wentao Xu , Yingce Xia , Weiqing Liu , Jiang Bian , Jian Yin , Tie-Yan Liu

In real-world systems, the relationships and connections between components are highly complex. Real systems are often described as networks, where nodes represent objects in the system and edges represent relationships or connections…

Algebraic Topology · Mathematics 2024-06-24 Shen Zhang

A locally connected spanning tree of a graph $G$ is a spanning tree $T$ of $G$ such that the set of all neighbors of $v$ in $T$ induces a connected subgraph of $G$ for every $v\in V(G)$. The purpose of this paper is to give linear-time…

Data Structures and Algorithms · Computer Science 2007-05-23 Ching-Chi Lin , Gerard J. Chang , Gen-Huey Chen

Graphs are a powerful tool for representing and analyzing unstructured, non-Euclidean data ubiquitous in the healthcare domain. Two prominent examples are molecule property prediction and brain connectome analysis. Importantly, recent works…

Machine Learning · Computer Science 2022-04-04 Kamilia Mullakaeva , Luca Cosmo , Anees Kazi , Seyed-Ahmad Ahmadi , Nassir Navab , Michael M. Bronstein

Sign Language Recognition (SLR) systems aim to be embedded in video stream platforms to recognize the sign performed in front of a camera. SLR research has taken advantage of recent advances in pose estimation models to use skeleton…

Computer Vision and Pattern Recognition · Computer Science 2023-04-13 David Laines , Gissella Bejarano , Miguel Gonzalez-Mendoza , Gilberto Ochoa-Ruiz

We present a method for balancing between the Local and Global Structures (LGS) in graph embedding, via a tunable parameter. Some embedding methods aim to capture global structures, while others attempt to preserve local neighborhoods. Few…

Human-Computer Interaction · Computer Science 2023-09-06 Jacob Miller , Vahan Huroyan , Stephen Kobourov

Understanding the structure of weighted signed networks is essential for analysing social systems in which relationships vary both in sign and strength. Despite significant advances in statistical network analysis, there is still a lack of…

Methodology · Statistics 2025-11-06 Alberto Caimo , Isabella Gollini

Graph neural networks (GNNs) have been broadly studied on dynamic graphs for their representation learning, majority of which focus on graphs with homogeneous structures in the spatial domain. However, many real-world graphs - i.e.,…

Machine Learning · Computer Science 2021-10-27 Yujie Fan , Mingxuan Ju , Chuxu Zhang , Liang Zhao , Yanfang Ye

Sign language translation (SLT), which generates text in a spoken language from visual content in a sign language, is important to assist the hard-of-hearing community for their communications. Inspired by neural machine translation (NMT),…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 Jichao Kan , Kun Hu , Markus Hagenbuchner , Ah Chung Tsoi , Mohammed Bennamounm , Zhiyong Wang

Signed networks have been a topic of recent interest in the network control community as they allow studying antagonistic interactions in multi-agent systems. Although dynamical characteristics of signed networks have been well-studied,…

Optimization and Control · Mathematics 2017-07-13 Siavash Alemzadeh , Mathias Hudoba de Badyn , Mehran Mesbahi

Predicting the future of Graph-supported Time Series (GTS) is a key challenge in many domains, such as climate monitoring, finance or neuroimaging. Yet it is a highly difficult problem as it requires to account jointly for time and graph…

Signal Processing · Electrical Eng. & Systems 2019-08-20 Myriam Bontonou , Carlos Lassance , Vincent Gripon , Nicolas Farrugia

Graph neural networks (GNNs) often struggle to learn discriminative node representations for heterophilic graphs, where connected nodes tend to have dissimilar labels and feature similarity provides weak structural cues. We propose…

Machine Learning · Computer Science 2025-12-30 Ayushman Raghuvanshi , Gonzalo Mateos , Sundeep Prabhakar Chepuri

Spatio-temporal forecasting of future values of spatially correlated time series is important across many cyber-physical systems (CPS). Recent studies offer evidence that the use of graph neural networks to capture latent correlations…

Machine Learning · Computer Science 2023-12-29 Minbo Ma , Jilin Hu , Christian S. Jensen , Fei Teng , Peng Han , Zhiqiang Xu , Tianrui Li

Accurate traffic forecasting, the foundation of intelligent transportation systems (ITS), has never been more significant than nowadays due to the prosperity of smart cities and urban computing. Recently, Graph Neural Network truly…

Machine Learning · Computer Science 2022-05-18 Jiabin Tang , Tang Qian , Shijing Liu , Shengdong Du , Jie Hu , Tianrui Li

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

Traditional Graph Self-Supervised Learning (GSSL) struggles to capture complex structural properties well. This limitation stems from two main factors: (1) the inadequacy of conventional Graph Neural Networks (GNNs) in representing…

Machine Learning · Computer Science 2025-02-25 Asiri Wijesinghe , Hao Zhu , Piotr Koniusz

The scaled graph has been introduced recently as a nonlinear extension of the classical Nyquist plot for linear time-invariant systems. In this paper, we introduce a modified definition for the scaled graph, termed the signed scaled graph…

Systems and Control · Electrical Eng. & Systems 2025-05-02 Sebastiaan van den Eijnden , Chao Chen , Koen Scheres , Thomas Chaffey , Alexander Lanzon