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Computing subgraph frequencies is a fundamental task that lies at the core of several network analysis methodologies, such as network motifs and graphlet-based metrics, which have been widely used to categorize and compare networks from…

Data Structures and Algorithms · Computer Science 2021-12-30 Pedro Ribeiro , Pedro Paredes , Miguel E. P. Silva , David Aparicio , Fernando Silva

In recent years hypergraphs have emerged as a powerful tool to study systems with multi-body interactions which cannot be trivially reduced to pairs. While highly structured methods to generate synthetic data have proved fundamental for the…

Social and Information Networks · Computer Science 2024-10-10 Nicolò Ruggeri , Federico Battiston , Caterina De Bacco

We reduce the cost of communication and synchronization in graph processing by analyzing the fastest way to process graphs: pushing the updates to a shared state or pulling the updates to a private state.We investigate the applicability of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-02 Maciej Besta , Michal Podstawski , Linus Groner , Edgar Solomonik , Torsten Hoefler

Community-based graph clustering is one of the most popular topics in the analysis of complex social networks. This type of clustering involves grouping vertices that are considered to share more connections, whereas vertices in different…

Optimization and Control · Mathematics 2025-11-25 Wenshun Teng , Qingna Li

We present two methods to compress the description of a route in a road network, i.e., of a path in a directed graph. The first method represents a path by a sequence of via edges. The subpaths between the via edges have to be unique…

Data Structures and Algorithms · Computer Science 2010-11-22 Gernot Veit Batz , Robert Geisberger , Dennis Luxen , Peter Sanders

Large graphs are difficult to represent, visualize, and understand. In this paper, we introduce "gate graph" - a new approach to perform graph simplification. A gate graph provides a simplified topological view of the original graph.…

Social and Information Networks · Computer Science 2016-11-18 Ning Ruan , Ruoming Jin , Yan Huang

On one hand, compared with traditional relational and XML models, graphs have more expressive power and are widely used today. On the other hand, various applications of social computing trigger the pressing need of a new search paradigm.…

Databases · Computer Science 2017-02-28 Shuai Ma , Jia Li , Chunming Hu , Xuelian Lin , Jinpeng Huai

Communities play a crucial role to describe and analyse modern networks. However, the size of those networks has grown tremendously with the increase of computational power and data storage. While various methods have been developed to…

Physics and Society · Physics 2013-08-30 Arnaud Browet , P. -A. Absil , Paul Van Dooren

Community detection refers to the problem of clustering the nodes of a network (either graph or hypergrah) into groups. Various algorithms are available for community detection and all these methods apply to uncensored networks. In…

Machine Learning · Statistics 2021-11-08 Mingao Yuan , Bin Zhao , Xiaofeng Zhao

A main challenge in mining network-based data is finding effective ways to represent or encode graph structures so that it can be efficiently exploited by machine learning algorithms. Several methods have focused in network representation…

Social and Information Networks · Computer Science 2019-03-18 Leonardo Gutiérrez-Gómez , Jean-Charles Delvenne

Signed graphs serve as a primary tool for modelling social networks. They can represent relationships between individuals (i.e., nodes) with the use of signed edges. Finding communities in a signed graph is of great importance in many…

Quantum Physics · Physics 2019-01-16 Ehsan Zahedinejad , Daniel Crawford , Clemens Adolphs , Jaspreet S. Oberoi

In this paper, we introduce a novel and computationally efficient method for vertex embedding, community detection, and community size determination. Our approach leverages a normalized one-hot graph encoder and a rank-based cluster size…

Social and Information Networks · Computer Science 2024-07-23 Cencheng Shen , Youngser Park , Carey E. Priebe

Graph condensation aims to reduce the size of a large-scale graph dataset by synthesizing a compact counterpart without sacrificing the performance of Graph Neural Networks (GNNs) trained on it, which has shed light on reducing the…

Machine Learning · Computer Science 2024-06-19 Yuchen Zhang , Tianle Zhang , Kai Wang , Ziyao Guo , Yuxuan Liang , Xavier Bresson , Wei Jin , Yang You

A paradigm that was successfully applied in the study of both pure and algorithmic problems in graph theory can be colloquially summarized as stating that "any graph is close to being the disjoint union of expanders". Our goal in this paper…

Combinatorics · Mathematics 2015-02-03 Guy Moshkovitz , Asaf Shapira

K-clique percolation is an overlapping community finding algorithm which extracts particular structures, comprised of overlapping cliques, from complex networks. While it is conceptually straightforward, and can be elegantly expressed using…

Social and Information Networks · Computer Science 2012-05-02 Fergal Reid , Aaron McDaid , Neil Hurley

Structured representations such as scene graphs serve as an efficient and compact representation that can be used for downstream rendering or retrieval tasks. However, existing efforts to generate realistic images from scene graphs perform…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Subarna Tripathi , Sharath Nittur Sridhar , Sairam Sundaresan , Hanlin Tang

Given a graph G and the desired size k in bits, how can we summarize G within k bits, while minimizing the information loss? Large-scale graphs have become omnipresent, posing considerable computational challenges. Analyzing such large…

Databases · Computer Science 2021-02-23 Kyuhan Lee , Hyeonsoo Jo , Jihoon Ko , Sungsu Lim , Kijung Shin

Due to the advent of the expressions of data other than tabular formats, the topological compositions which make samples interrelated came into prominence. Analogically, those networks can be interpreted as social connections, dataflow…

Social and Information Networks · Computer Science 2023-01-27 Hacı İsmail Aslan , Chang Choi , Hoon Ko

Community structure is one of the most important features of real networks and reveals the internal organization of the nodes. Many algorithms have been proposed but the crucial issue of testing, i.e. the question of how good an algorithm…

Physics and Society · Physics 2008-10-30 Andrea Lancichinetti , Santo Fortunato , Filippo Radicchi

Many real world systems or web services can be represented as a network such as social networks and transportation networks. In the past decade, many algorithms have been developed to detect the communities in a network using connections…

Social and Information Networks · Computer Science 2015-01-21 Zhi Liu , Yan Huang