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We provide a novel approach to construct generative models for graphs. Instead of using the traditional probabilistic models or deep generative models, we propose to instead find an algorithm that generates the data. We achieve this using…

Machine Learning · Computer Science 2023-04-26 Mihai Babiac , Karolis Martinkus , Roger Wattenhofer

Understanding network structure and having access to realistic graphs plays a central role in computer and social networks research. In this paper, we propose a complete, and practical methodology for generating graphs that resemble a real…

Social and Information Networks · Computer Science 2012-08-21 Minas Gjoka , Maciej Kurant , Athina Markopoulou

We study the problem of generating graphs with prescribed degree sequences for bipartite, directed, and undirected networks. We first propose a sequential method for bipartite graph generation and establish a necessary and sufficient…

Methodology · Statistics 2026-03-13 Tong Sun , Jianshu Hao , Michael C. Fu , Guangxin Jiang

Graph generation is a crucial task in many fields, including network science and bioinformatics, as it enables the creation of synthetic graphs that mimic the properties of real-world networks for various applications. Graph Generative…

Machine Learning · Computer Science 2026-01-21 Salvatore Romano , Marco Grassia , Giuseppe Mangioni

Graph neural networks can be effectively applied to find solutions for many real-world problems across widely diverse fields. The success of graph neural networks is linked to the message-passing mechanism on the graph, however, the…

Machine Learning · Computer Science 2022-01-06 Yan Pang , Chao Liu

While network science has become an indispensable tool for studying complex systems, the conventional use of pairwise links often shows limitations in describing high-order interactions properly. Hypergraphs, where each edge can connect…

Physics and Society · Physics 2024-12-20 Zhao Li , Jing Zhang , Jiqiang Zhang , Guozhong Zheng , Weiran Cai , Li Chen

This paper introduces provGen, a generator aimed at producing large synthetic provenance graphs with predictable properties and of arbitrary size. Synthetic provenance graphs serve two main purposes. Firstly, they provide a variety of…

Databases · Computer Science 2014-06-11 Hugo Firth , Paolo Missier

Distributed graph signal processing algorithms require the network nodes to communicate by exchanging messages in order to achieve a common objective. These messages have a finite precision in realistic networks, which may necessitate to…

Signal Processing · Electrical Eng. & Systems 2019-09-30 Isabela Cunha Maia Nobre , Pascal Frossard

Node counting on a graph is subject to some fundamental theoretical limitations, yet a solution to such problems is necessary in many applications of graph theory to real-world systems, such as collective robotics and distributed sensor…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-29 Arindam Saha , James A. R. Marshall , Andreagiovanni Reina

Graph generation poses a significant challenge as it involves predicting a complete graph with multiple nodes and edges based on simply a given label. This task also carries fundamental importance to numerous real-world applications,…

Machine Learning · Computer Science 2024-02-21 Xiandong Zou , Xiangyu Zhao , Pietro Liò , Yiren Zhao

Graphs emerge in almost every real-world application domain, ranging from online social networks all the way to health data and movie viewership patterns. Typically, such real-world graphs are big and dynamic, in the sense that they evolve…

Social and Information Networks · Computer Science 2022-10-11 Ekta Gujral

Hyperbolic random graphs (HRG) and geometric inhomogeneous random graphs (GIRG) are two similar generative network models that were designed to resemble complex real world networks. In particular, they have a power-law degree distribution…

Data Structures and Algorithms · Computer Science 2019-08-26 Thomas Bläsius , Tobias Friedrich , Maximilian Katzmann , Ulrich Meyer , Manuel Penschuck , Christopher Weyand

How do real graphs evolve over time? What are ``normal'' growth patterns in social, technological, and information networks? Many studies have discovered patterns in static graphs, identifying properties in a single snapshot of a large…

Physics and Society · Physics 2007-05-23 Jure Leskovec , Jon Kleinberg , Christos Faloutsos

Obtaining real-world network datasets is often challenging because of privacy, security, and computational constraints. In the absence of such datasets, graph generative models become essential tools for creating synthetic datasets. In this…

Machine Learning · Computer Science 2025-05-13 Arya Grayeli , Vipin Swarup , Steven E. Noel

Networks representing many complex systems in nature and society share some common structural properties like heterogeneous degree distributions and strong clustering. Recent research on network geometry has shown that those real networks…

Physics and Society · Physics 2015-09-23 Rodrigo Aldecoa , Chiara Orsini , Dmitri Krioukov

From social science to biology, numerous applications often rely on graphlets for intuitive and meaningful characterization of networks at both the global macro-level as well as the local micro-level. While graphlets have witnessed a…

Social and Information Networks · Computer Science 2016-02-17 Nesreen K. Ahmed , Jennifer Neville , Ryan A. Rossi , Nick Duffield , Theodore L. Willke

The problem of molecular generation has received significant attention recently. Existing methods are typically based on deep neural networks and require training on large datasets with tens of thousands of samples. In practice, however,…

Machine Learning · Computer Science 2022-03-16 Minghao Guo , Veronika Thost , Beichen Li , Payel Das , Jie Chen , Wojciech Matusik

Synthetic graph generators facilitate research in graph algorithms and processing systems by providing access to data, for instance, graphs resembling social networks, while circumventing privacy and security concerns. Nevertheless, their…

Social and Information Networks · Computer Science 2016-10-04 Sergey Edunov , Dionysios Logothetis , Cheng Wang , Avery Ching , Maja Kabiljo

Graph neural networks (GNNs) fuel diverse machine learning tasks involving graph-structured data, ranging from predicting protein structures to serving personalized recommendations. Real-world graph data must often be stored distributed…

Machine Learning · Computer Science 2024-02-13 Aashish Kolluri , Sarthak Choudhary , Bryan Hooi , Prateek Saxena

Graphs may be used to represent many different problem domains -- a concrete example is that of detecting communities in social networks, which are represented as graphs. With big data and more sophisticated applications becoming widespread…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-03 Miguel E. Coimbra , Alexandre P. Francisco , Luis Veiga