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Heterogeneous graph neural networks (HGNNs) were proposed for representation learning on structural data with multiple types of nodes and edges. To deal with the performance degradation issue when HGNNs become deep, researchers combine…

Machine Learning · Computer Science 2023-11-27 Xinyu Fu , Irwin King

Estimating the number of triangles in graph streams using a limited amount of memory has become a popular topic in the last decade. Different variations of the problem have been studied, depending on whether the graph edges are provided in…

Data Structures and Algorithms · Computer Science 2015-07-15 Laurent Bulteau , Vincent Froese , Konstantin Kutzkov , Rasmus Pagh

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

The number of triangles is a computationally expensive graph statistic which is frequently used in complex network analysis (e.g., transitivity ratio), in various random graph models (e.g., exponential random graph model) and in important…

Data Structures and Algorithms · Computer Science 2015-05-20 Mihail N. Kolountzakis , Gary L. Miller , Richard Peng , Charalampos E. Tsourakakis

Triangle counting is a building block for a wide range of graph applications. Traditional wisdom suggests that i) hashing is not suitable for triangle counting, ii) edge-centric triangle counting beats vertex-centric design, and iii)…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-26 Santosh Pandey , Zhibin Wang , Sheng Zhong , Chen Tian , Bolong Zheng , Xiaoye Li , Lingda Li , Adolfy Hoisie , Caiwen Ding , Dong Li , Hang Liu

Demystifying interactions between temporal patterns of different scales is fundamental to precise long-range time series forecasting. However, previous works lack the ability to model high-order interactions. To promote more comprehensive…

Machine Learning · Computer Science 2024-12-24 Zongjiang Shang , Ling Chen , Binqing Wu , Dongliang Cui

There has been a recent surge in learning generative models for graphs. While impressive progress has been made on static graphs, work on generative modeling of temporal graphs is at a nascent stage with significant scope for improvement.…

Machine Learning · Computer Science 2022-08-26 Shubham Gupta , Sahil Manchanda , Srikanta Bedathur , Sayan Ranu

Subgraph counting aims to count occurrences of a template T in a given network G(V, E). It is a powerful graph analysis tool and has found real-world applications in diverse domains. Scaling subgraph counting problems is known to be memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-06 Langshi Chen , Jiayu Li , Ariful Azad , Cenk Sahinalp , Madhav Marathe , Anil Vullikanti , Andrey Nikolaev , Egor Smirnov , Ruslan Israfilov , Judy Qiu

Graph representation is a powerful abstraction of real-world objects and relations. Computing the Graph Edit Distance (GED) between graphs is critical in domains such as bioinformatics, machine learning, and pattern recognition. GED…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-05 Adel Dabah , Andreas Herten

Hypergraphs, describing networks where interactions take place among any number of units, are a natural tool to model many real-world social and biological systems. In this work we propose a principled framework to model the organization of…

Social and Information Networks · Computer Science 2023-10-25 Nicolò Ruggeri , Martina Contisciani , Federico Battiston , Caterina De Bacco

One fundamental problem in temporal graph analysis is to count the occurrences of small connected subgraph patterns (i.e., motifs), which benefits a broad range of real-world applications, such as anomaly detection, structure prediction,…

Machine Learning · Computer Science 2022-04-21 Zhongqiang Gao , Chuanqi Cheng , Yanwei Yu , Lei Cao , Chao Huang , Junyu Dong

Counting the frequency of small subgraphs is a fundamental technique in network analysis across various domains, most notably in bioinformatics and social networks. The special case of triangle counting has received much attention. Getting…

Social and Information Networks · Computer Science 2016-11-01 Ali Pinar , C. Seshadhri , V. Vishal

Not only with the large host memory for supporting large scale graph processing, GPU-accelerated heterogeneous architecture can also provide a great potential for high-performance computing. However, few existing heterogeneous systems can…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-05 Xianliang Li

The ongoing need for effective epidemic modeling has driven advancements in capturing the complex dynamics of infectious diseases. Traditional models, such as Susceptible-Infected-Recovered, and graph-based approaches often fail to account…

Social and Information Networks · Computer Science 2025-04-02 Songyuan Liu , Shengbo Gong , Tianning Feng , Zewen Liu , Max S. Y. Lau , Wei Jin

In the last decade, subgraph detection and enumeration have emerged as a central problem in distributed graph algorithms. This is largely due to the theoretical challenges and practical applications of these problems. In this paper, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-23 Duncan Adamson , Will Rosenbaum , Paul G. Spirakis

Graphs are a standard framework for describing dynamical processes shaped by pairwise interactions among agents. But many systems involve interactions in groups of three or more agents. Here, we develop a method of "$\ell$-hyperedge…

Physics and Society · Physics 2026-05-25 Anzhi Sheng , Alex McAvoy , Ye Tian , Silun Zhang , Angela Fontan , Joshua B. Plotkin

Emergency Services Communication Systems (ESCS) are evolving into Internet Protocol based communication networks, promising enhancements to their function, availability, and resilience. This increase in complexity and cyber-attack surface…

Cryptography and Security · Computer Science 2024-09-04 Jardi Martinez Jordan , Michael Stiber

Graph representation learning has made major strides over the past decade. However, in many relational domains, the input data are not suited for simple graph representations as the relationships between entities go beyond pairwise…

Machine Learning · Computer Science 2021-01-20 Balasubramaniam Srinivasan , Da Zheng , George Karypis

Understanding the higher-order interactions within network data is a key objective of network science. Surveys of metadata triangles (or patterned 3-cycles in metadata-enriched graphs) are often of interest in this pursuit. In this work, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-27 Trevor Steil , Tahsin Reza , Keita Iwabuchi , Benjamin W. Priest , Geoffrey Sanders , Roger Pearce

Scene graphs have proven to be highly effective for various scene understanding tasks due to their compact and explicit representation of relational information. However, current methods often overlook the critical importance of preserving…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Quang P. M. Pham , Khoi T. N. Nguyen , Lan C. Ngo , Truong Do , Dezhen Song , Truong-Son Hy