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Graph generation has emerged as a crucial task in machine learning, with significant challenges in generating graphs that accurately reflect specific properties. Existing methods often fall short in efficiently addressing this need as they…

We consider the problem of graph generation guided by network statistics, i.e., the generation of graphs which have given values of various numerical measures that characterize networks, such as the clustering coefficient and the number of…

Social and Information Networks · Computer Science 2023-03-02 Jérôme Kunegis , Jun Sun , Eiko Yoneki

Graph representation learning (GRL) has emerged as an effective technique for modeling graph-structured data. When modeling heterogeneity and dynamics in real-world complex networks, GRL methods designed for complex heterogeneous temporal…

Social and Information Networks · Computer Science 2026-05-19 Huan Liu , Pengfei Jiao , Mengzhou Gao , Chaochao Chen , Di Jin

Most real-world graphs exhibit a hierarchical structure, which is often overlooked by existing graph generation methods. To address this limitation, we propose a novel graph generative network that captures the hierarchical nature of graphs…

Machine Learning · Computer Science 2026-01-01 Mahdi Karami

Large graphs are present in a variety of domains, including social networks, civil infrastructure, and the physical sciences to name a few. Graph generation is similarly widespread, with applications in drug discovery, network analysis and…

Machine Learning · Computer Science 2023-11-08 Alex O. Davies , Nirav S. Ajmeri , Telmo M. Silva Filho

In the last decades, the study of models for large real-world networks has been a very popular and active area of research. A reasonable model should not only replicate all the structural properties that are observed in real world networks…

Combinatorics · Mathematics 2012-05-08 Luca Gugelmann , Konstantinos Panagiotou , Ueli Peter

This paper addresses emerging system-level challenges in heterogeneous retrieval-augmented generation (RAG) serving, where complex multi-stage workflows and diverse request patterns complicate efficient execution. We present HedraRAG, a…

Databases · Computer Science 2025-07-15 Zhengding Hu , Vibha Murthy , Zaifeng Pan , Wanlu Li , Xiaoyi Fang , Yufei Ding , Yuke Wang

The recent deep generative models for static graphs that are now being actively developed have achieved significant success in areas such as molecule design. However, many real-world problems involve temporal graphs whose topology and…

Machine Learning · Computer Science 2021-03-09 Liming Zhang , Liang Zhao , Shan Qin , Dieter Pfoser

Random graphs (or networks) have gained a significant increase of interest due to its popularity in modeling and simulating many complex real-world systems. Degree sequence is one of the most important aspects of these systems. Random…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-12 Hasanuzzaman Bhuiyan , Maleq Khan , Madhav Marathe

In most domains of network analysis researchers consider networks that arise in nature with weighted edges. Such networks are routinely dichotomized in the interest of using available methods for statistical inference with networks. The…

Methodology · Statistics 2016-11-10 James D. Wilson , Matthew J. Denny , Shankar Bhamidi , Skyler Cranmer , Bruce Desmarais

Graph generation is a critical yet challenging task, as empirical analyses require a deep understanding of complex, non-Euclidean structures. Diffusion models have recently made significant advances in graph generation, but these models are…

Machine Learning · Computer Science 2026-03-13 Yiming Huang , Tolga Birdal

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 Random Geometric Graph (RGG) is a random graph model for network data with an underlying spatial representation. Geometry endows RGGs with a rich dependence structure and often leads to desirable properties of real-world networks such…

Social and Information Networks · Computer Science 2022-08-25 Quentin Duchemin , Yohann de Castro

There has been significant recent interest in parallel graph processing due to the need to quickly analyze the large graphs available today. Many graph codes have been designed for distributed memory or external memory. However, today even…

Data Structures and Algorithms · Computer Science 2019-08-22 Laxman Dhulipala , Guy E. Blelloch , Julian Shun

Analyzing massive complex networks yields promising insights about our everyday lives. Building scalable algorithms to do so is a challenging task that requires a careful analysis and an extensive evaluation. However, engineering such…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-19 Daniel Funke , Sebastian Lamm , Ulrich Meyer , Peter Sanders , Manuel Penschuck , Christian Schulz , Darren Strash , Moritz von Looz

Graph neural networks (GNNs) realize great success in graph learning but suffer from performance loss when meeting heterophily, i.e. neighboring nodes are dissimilar, due to their local and uniform aggregation. Existing attempts of…

Machine Learning · Computer Science 2026-04-14 Haoyu Liu , Ningyi Liao , Siqiang Luo

Desirable random graph models (RGMs) should (i) reproduce common patterns in real-world graphs (e.g., power-law degrees, small diameters, and high clustering), (ii) generate variable (i.e., not overly similar) graphs, and (iii) remain…

Machine Learning · Computer Science 2025-09-26 Fanchen Bu , Ruochen Yang , Paul Bogdan , Kijung Shin

Graph generation is one of the most challenging tasks in recent years, and its core is to learn the ground truth distribution hiding in the training data. However, training data may not be available due to security concerns or unaffordable…

Discrete Mathematics · Computer Science 2025-03-11 Xiaorui Qi , Yanlong Wen , Xiaojie Yuan

We introduce the asynchronous graph generator (AGG), a novel graph attention network for imputation and prediction of multi-channel time series. Free from recurrent components or assumptions about temporal/spatial regularity, AGG encodes…

Machine Learning · Computer Science 2025-04-18 Christopher P. Ley , Felipe Tobar

In this paper, we propose a multilayer inhomogeneous random graph model (MIRG), whose layers may consist of both single-edge and multi-edge graphs. In the single layer case, it has been shown that the regular variation of the weight…

Probability · Mathematics 2024-03-05 Daniel Cirkovic , Tiandong Wang , Daren B. H. Cline