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In real-world scenarios, large graphs represent relationships among entities in complex systems. Mining these large graphs often containing millions of nodes and edges helps uncover structural patterns and meaningful insights. Dividing a…

社会与信息网络 · 计算机科学 2025-09-12 Shrabani Ghosh , Erik Saule

Community structure analysis is a powerful tool for complex networks, which can simplify their functional analysis considerably. Recently, many approaches were proposed to community structure detection, but few works were focused on the…

物理与社会 · 物理学 2010-02-11 Yanqing Hu , Yiming Ding , Ying Fan , Zengru Di

In network science, a group of nodes connected with each other at higher probability than with those outside the group is referred to as a community. From the perspective that individual communities are associated with functional modules…

物理与社会 · 物理学 2019-12-10 Hiroshi Okamoto , Xu-le Qiu

Small-world networks, known for high local clustering and short path lengths, are a fundamental structure in many real-world systems, including social, biological, and technological networks. We apply the theory of (marked) local…

概率论 · 数学 2026-04-29 Yeganeh Alimohammadi , Senem Işık , Amin Saberi

We study the typical behavior of a generalized version of Google's PageRank algorithm on a large family of inhomogeneous random digraphs. This family includes as special cases directed versions of classical models such as the…

概率论 · 数学 2020-11-13 Jiung Lee , Mariana Olvera-Cravioto

In recent years, graph-based machine learning techniques, such as reinforcement learning and graph neural networks, have garnered significant attention. While some recent studies have started to explore the relationship between the graph…

机器学习 · 计算机科学 2025-07-15 Yash Arya , Sang Hoon Lee

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…

物理与社会 · 物理学 2008-10-30 Andrea Lancichinetti , Santo Fortunato , Filippo Radicchi

Homophily -- the tendency of individuals to interact with similar others -- shapes how networks form and function. Yet existing approaches typically collapse homophily to a single scale, either one parameter for the whole network or one per…

物理与社会 · 物理学 2025-12-16 Abbas K. Rizi , Riccardo Michielan , Clara Stegehuis , Mikko Kivelä

In this paper, a new comparative definition for community in networks is proposed and the corresponding detecting algorithm is given. A community is defined as a set of nodes, which satisfy that each node's degree inside the community…

物理与社会 · 物理学 2009-11-13 Yanqing Hu , Hongbin Chen , Peng Zhang , Menghui Li , Zengru Di , Ying Fan

Nodes in real-world networks organize into densely linked communities where edges appear with high concentration among the members of the community. Identifying such communities of nodes has proven to be a challenging task mainly due to a…

社会与信息网络 · 计算机科学 2012-11-08 Jaewon Yang , Jure Leskovec

Honest cooperation among individuals in a network can be achieved in different ways. In online networks with some kind of central authority, such as Ebay, Airbnb, etc. honesty is achieved through a reputation system, which is maintained and…

分布式、并行与集群计算 · 计算机科学 2019-03-15 Alexander Stannat , Johan Pouwelse

Clustering and community structure is crucial for many network systems and the related dynamic processes. It has been shown that communities are usually overlapping and hierarchical. However, previous methods investigate these two…

计算机与社会 · 计算机科学 2009-02-20 Huawei Shen , Xueqi Cheng , Kai Cai , Mao-Bin Hu

The community plays a crucial role in understanding user behavior and network characteristics in social networks. Some users can use multiple social networks at once for a variety of objectives. These users are called overlapping users who…

社会与信息网络 · 计算机科学 2024-05-08 Ziqing Zhu , Guan Yuan , Tao Zhou , Jiuxin Cao

The WorldWide Web is one of the most important communication systems we use in our everyday life. Despite its central role, the growth and the development of the WWW is not controlled by any central authority. This situation has created a…

物理与社会 · 物理学 2015-05-13 Nicola Perra , Vinko Zlatic , Alessandro Chessa , Claudio Conti , Debora Donato , Guido Caldarelli

Graph Neural Networks (GNNs) are effective in many applications. Still, there is a limited understanding of the effect of common graph structures on the learning process of GNNs. In this work, we systematically study the impact of community…

机器学习 · 计算机科学 2021-03-08 Hussain Hussain , Tomislav Duricic , Elisabeth Lex , Roman Kern , Denis Helic

Social relationships can be divided into different classes based on the regularity with which they occur and the similarity among them. Thus, rare and somewhat similar relationships are random and cause noise in a social network, thus…

社会与信息网络 · 计算机科学 2018-10-08 Jeancarlo Campos Leão , Michele Amaral Brandão , Pedro O. S. Vaz de Melo , Alberto H. F. Laender

A central problem in e-commerce is determining overlapping communities among individuals or objects in the absence of external identification or tagging. We address this problem by introducing a framework that captures the notion of…

数据结构与算法 · 计算机科学 2012-03-02 Maria-Florina Balcan , Christian Borgs , Mark Braverman , Jennifer Chayes , Shang-Hua Teng

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…

机器学习 · 统计学 2021-11-08 Mingao Yuan , Bin Zhao , Xiaofeng Zhao

Community detection is a classical problem in the field of graph mining. While most algorithms work on the entire graph, it is often interesting in practice to recover only the community containing some given set of seed nodes. In this…

社会与信息网络 · 计算机科学 2016-11-08 Alexandre Hollocou , Thomas Bonald , Marc Lelarge

In signed networks, some existing community detection methods treat negative connections as intercommunity links and positive ones as intracommunity links. However, it is important to recognize that negative links on real-world networks…

物理与社会 · 物理学 2023-08-17 Peng Zhang , Xianyu Xu , Leyang Xue