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Large scale real-world network data such as social and information networks are ubiquitous. The study of such social and information networks seeks to find patterns and explain their emergence through tractable models. In most networks, and…

Social and Information Networks · Computer Science 2015-05-20 Myunghwan Kim , Jure Leskovec

Generating graphs that preserve characteristic structures while promoting sample diversity can be challenging, especially when the number of graph observations is small. Here, we tackle the problem of graph generation from only one observed…

Machine Learning · Statistics 2024-04-08 Gesine Reinert , Wenkai Xu

The emergence of social networks and the definition of suitable generative models for synthetic yet realistic social graphs are widely studied problems in the literature. By not being tied to any real data, random graph models cannot…

Social and Information Networks · Computer Science 2023-02-16 Stefano Guarino , Enrico Mastrostefano , Massimo Bernaschi , Alessandro Celestini , Marco Cianfriglia , Davide Torre , Lena Zastrow

We study the efficient generation of random graphs with a prescribed expected degree sequence, focusing on rank-1 inhomogeneous models in which vertices are assigned weights and edges are drawn independently with probabilities proportional…

Data Structures and Algorithms · Computer Science 2026-04-24 Gianlorenzo D'Angelo , Riccardo Michielan

Graph data is used in a wide range of applications, while analyzing graph data without protection is prone to privacy breach risks. To mitigate the privacy risks, we resort to the standard technique of differential privacy to publish a…

Cryptography and Security · Computer Science 2023-10-16 Quan Yuan , Zhikun Zhang , Linkang Du , Min Chen , Peng Cheng , Mingyang Sun

Subgraph discovery in a single data graph---finding subsets of vertices and edges satisfying a user-specified criteria---is an essential and general graph analytics operation with a wide spectrum of applications. Depending on the criteria,…

Databases · Computer Science 2018-07-25 Aparna Joshi , Yu Zhang , Petko Bogdanov , Jeong-Hyon Hwang

Graph pattern matching, which aims to discover structural patterns in graphs, is considered one of the most fundamental graph mining problems in many real applications. Despite previous efforts, existing systems face two main challenges.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-30 Tianhui Shi , Mingshu Zhai , Yi Xu , Jidong Zhai

Unsupervised node clustering (or community detection) is a classical graph learning task. In this paper, we study algorithms, which exploit the geometry of the graph to identify densely connected substructures, which form clusters or…

Social and Information Networks · Computer Science 2023-07-20 Yu Tian , Zachary Lubberts , Melanie Weber

Deep graph clustering (DGC), which aims to unsupervisedly separate the nodes in an attribute graph into different clusters, has seen substantial potential in various industrial scenarios like community detection and recommendation. However,…

Social and Information Networks · Computer Science 2025-08-06 Yaowen Hu , Wenxuan Tu , Yue Liu , Xinhang Wan , Junyi Yan , Taichun Zhou , Xinwang Liu

Graph representation learning has recently been applied to a broad spectrum of problems ranging from computer graphics and chemistry to high energy physics and social media. The popularity of graph neural networks has sparked interest, both…

Machine Learning · Computer Science 2020-11-05 Fabrizio Frasca , Emanuele Rossi , Davide Eynard , Ben Chamberlain , Michael Bronstein , Federico Monti

Zuckerli is a scalable compression system meant for large real-world graphs. Graphs are notoriously challenging structures to store efficiently due to their linked nature, which makes it hard to separate them into smaller, compact…

Data Structures and Algorithms · Computer Science 2020-09-04 Luca Versari , Iulia M. Comsa , Alessio Conte , Roberto Grossi

Feature extraction is an essential task in graph analytics. These feature vectors, called graph descriptors, are used in downstream vector-space-based graph analysis models. This idea has proved fruitful in the past, with spectral-based…

Machine Learning · Computer Science 2023-04-11 Zohair Raza Hassan , Sarwan Ali , Imdadullah Khan , Mudassir Shabbir , Waseem Abbas

Uniform sampling from graphical realizations of a given degree sequence is a fundamental component in simulation-based measurements of network observables, with applications ranging from epidemics, through social networks to Internet…

Physics and Society · Physics 2010-04-14 Charo I. Del Genio , Hyunju Kim , Zoltan Toroczkai , Kevin E. Bassler

Graph generative modelling has become an essential task due to the wide range of applications in chemistry, biology, social networks, and knowledge representation. In this work, we propose a novel framework for generating graphs by adapting…

Machine Learning · Statistics 2026-02-04 Anthony Stephenson , Ian Gallagher , Christopher Nemeth

Diffusion-based graph generative models have recently obtained promising results for graph generation. However, existing diffusion-based graph generative models are mostly one-shot generative models that apply Gaussian diffusion in the…

Artificial Intelligence · Computer Science 2023-07-19 Lingkai Kong , Jiaming Cui , Haotian Sun , Yuchen Zhuang , B. Aditya Prakash , Chao Zhang

Many real life networks present an average path length logarithmic with the number of nodes and a degree distribution which follows a power law. Often these networks have also a modular and self-similar structure and, in some cases -…

Statistical Mechanics · Physics 2009-02-26 Alicia Miralles , Lichao Chen , Zhongzhi Zhang , Francesc Comellas

Data analysts commonly utilize statistics to summarize large datasets. While it is often sufficient to explore only the summary statistics of a dataset (e.g., min/mean/max), Anscombe's Quartet demonstrates how such statistics can be…

Computational Geometry · Computer Science 2019-10-31 Hang Chen , Utkarsh Soni , Yafeng Lu , Vahan Huroyan , Ross Maciejewski , Stephen Kobourov

We address here the problem of generating random graphs uniformly from the set of simple connected graphs having a prescribed degree sequence. Our goal is to provide an algorithm designed for practical use both because of its ability to…

Networking and Internet Architecture · Computer Science 2007-05-23 Fabien Viger , Matthieu Latapy

The sharing of large-scale transportation data is beneficial for transportation planning and policymaking. However, it also raises significant security and privacy concerns, as the data may include identifiable personal information, such as…

Machine Learning · Computer Science 2025-02-14 Chengen Wang , Alvaro Cardenas , Gurcan Comert , Murat Kantarcioglu

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