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Discovering the underlying structures present in large real world graphs is a fundamental scientific problem. In this paper we show that a graph's clique tree can be used to extract a hyperedge replacement grammar. If we store an ordering…

Social and Information Networks · Computer Science 2016-08-11 Salvador Aguiñaga , Rodrigo Palacios , David Chiang , Tim Weninger

Nowadays, various stakeholders involved in the analysis of electric power distribution grids face difficulties in the data acquisition related to the grid topology and parameters of grid assets. To mitigate the problem and possibly…

Systems and Control · Electrical Eng. & Systems 2024-08-27 Chandra Sekhar Charan Dande , Luca Mattorolo , Joel da Silva Andre , Lydia Lavecchia , Nikolaos Efkarpidis , Damiano Toffanin

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

Random graph models are frequently used as a controllable and versatile data source for experimental campaigns in various research fields. Generating such data-sets at scale is a non-trivial task as it requires design decisions typically…

Data Structures and Algorithms · Computer Science 2020-03-03 Manuel Penschuck , Ulrik Brandes , Michael Hamann , Sebastian Lamm , Ulrich Meyer , Ilya Safro , Peter Sanders , Christian Schulz

The purpose of this article is to introduce a new iterative algorithm with properties resembling real life bipartite graphs. The algorithm enables us to generate wide range of random bigraphs, which features are determined by a set of…

Artificial Intelligence · Computer Science 2010-11-03 Szymon Chojnacki , Mieczysław Kłopotek

There are a number of existing studies analysing the convergence behaviour of graph neural networks on large random graphs. Unfortunately, the majority of these studies do not model correlations between node features, which would naturally…

Machine Learning · Computer Science 2026-02-19 Mohammed Zain Ali Ahmed

Assessing generative models is not an easy task. Generative models should synthesize graphs which are not replicates of real networks but show topological features similar to real graphs. We introduce an approach for assessing graph…

Machine Learning · Computer Science 2018-09-06 Vahid Mostofi , Sadegh Aliakbary

Directed graphs naturally model systems with asymmetric, ordered relationships, essential to applications in biology, transportation, social networks, and visual understanding. Generating such graphs enables tasks such as simulation, data…

Machine Learning · Computer Science 2026-02-20 Alba Carballo-Castro , Manuel Madeira , Yiming Qin , Dorina Thanou , Pascal Frossard

Graphs are ubiquitous in encoding relational information of real-world objects in many domains. Graph generation, whose purpose is to generate new graphs from a distribution similar to the observed graphs, has received increasing attention…

Machine Learning · Computer Science 2022-12-08 Yanqiao Zhu , Yuanqi Du , Yinkai Wang , Yichen Xu , Jieyu Zhang , Qiang Liu , Shu Wu

Deep generative models have achieved great success in areas such as image, speech, and natural language processing in the past few years. Thanks to the advances in graph-based deep learning, and in particular graph representation learning,…

Machine Learning · Computer Science 2021-01-01 Faezeh Faez , Yassaman Ommi , Mahdieh Soleymani Baghshah , Hamid R. Rabiee

Current applications have produced graphs on the order of hundreds of thousands of nodes and millions of edges. To take advantage of such graphs, one must be able to find patterns, outliers and communities. These tasks are better performed…

Social and Information Networks · Computer Science 2015-05-29 Jose F. Rodrigues , Hanghang Tong , Jia-Yu Pan , Agma J. M. Traina , Caetano Traina , Christos Faloutsos

Complex heterogeneous dynamic networks like knowledge graphs are powerful constructs that can be used in modeling data provenance from computer systems. From a security perspective, these attributed graphs enable causality analysis and…

Cryptography and Security · Computer Science 2022-03-08 Maya Kapoor , Joshua Melton , Michael Ridenhour , Mahalavanya Sriram , Thomas Moyer , Siddharth Krishnan

Designing algorithms that generate networks with a given degree sequence while varying both subgraph composition and distribution of subgraphs around nodes is an important but challenging research problem. Current algorithms lack control of…

Physics and Society · Physics 2015-12-07 Martin Ritchie , Luc Berthouze , Istvan Z Kiss

Learning distributions of graphs can be used for automatic drug discovery, molecular design, complex network analysis, and much more. We present an improved framework for learning generative models of graphs based on the idea of deep state…

Machine Learning · Computer Science 2021-12-07 Julian Stier , Michael Granitzer

We introduce a new approach to constructing networks with realistic features. Our method, in spite of its conceptual simplicity (it has only two parameters) is capable of generating a wide variety of network types with prescribed…

Data Analysis, Statistics and Probability · Physics 2010-04-30 G. Palla , L. Lovasz , T. Vicsek

Nowadays, in the big data era, social networks, graph databases, knowledge graphs, electronic commerce etc. demand efficient and scalable capability to process an ever increasing volume of graph-structured data. To meet the challenge, two…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-10 Xiaole Wen , Shuai Zhang , Haihang You

Diffusion models, as a novel generative paradigm, have achieved remarkable success in various image generation tasks such as image inpainting, image-to-text translation, and video generation. Graph generation is a crucial computational task…

Machine Learning · Computer Science 2023-08-29 Chengyi Liu , Wenqi Fan , Yunqing Liu , Jiatong Li , Hang Li , Hui Liu , Jiliang Tang , Qing Li

Graph Neural Networks (GNNs) have achieved great success on a node classification task. Despite the broad interest in developing and evaluating GNNs, they have been assessed with limited benchmark datasets. As a result, the existing…

Machine Learning · Computer Science 2022-12-29 Seiji Maekawa , Koki Noda , Yuya Sasaki , Makoto Onizuka

Graphs are crucial for representing interrelated data and aiding predictive modeling by capturing complex relationships. Achieving high-quality graph representation is important for identifying linked patterns, leading to improvements in…

Machine Learning · Computer Science 2024-07-23 Sumeyye Bas , Kiymet Kaya , Resul Tugay , Sule Gunduz Oguducu

Graph generation is integral to various engineering and scientific disciplines. Nevertheless, existing methodologies tend to overlook the generation of edge attributes. However, we identify critical applications where edge attributes are…

Social and Information Networks · Computer Science 2024-12-30 Nimrod Berman , Eitan Kosman , Dotan Di Castro , Omri Azencot