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We propose a quantum algorithm for calculating the structural properties of complex networks and graphs. The corresponding protocol -- deteQt -- is designed to perform large-scale community and botnet detection, where a specific subgraph of…

Quantum Physics · Physics 2025-11-18 Chukwudubem Umeano , Stefano Scali , Oleksandr Kyriienko

Most community detection algorithms from the literature work as optimization tools that minimize a given \textit{fitness function}, while assuming that each node belongs to a single community. Since there is no hard concept of what a…

Neural and Evolutionary Computing · Computer Science 2014-06-11 Fabricio Olivetti de Franca , Guilherme Palermo Coelho

A canonical problem in graph mining is the detection of dense communities. This problem is exacerbated for a graph with a large order and size -- the number of vertices and edges -- as many community detection algorithms scale poorly. In…

Social and Information Networks · Computer Science 2015-02-17 Heng Wang , Da Zheng , Randal Burns , Carey Priebe

The Artificial Benchmark for Community Detection (ABCD) graph is a random graph model with community structure and power-law distribution for both degrees and community sizes. The model generates graphs with similar properties as the…

Social and Information Networks · Computer Science 2022-03-04 Bogumil Kaminski , Bartosz Pankratz , Pawel Pralat , Francois Theberge

Global coordination is required to solve a wide variety of challenging collective action problems from network colorings to the tragedy of the commons. Recent empirical study shows that the presence of a few noisy autonomous agents can…

Physics and Society · Physics 2024-06-14 Matthew I. Jones , Scott D. Pauls , Feng Fu

We find there is relationship between the associated bigraph and the cluster (or community) detecting on network. By imbedding the associated bigraph of some network (suppose it has cluster structures) into some space, we can identify the…

Physics and Society · Physics 2014-10-03 Zhe He , Yi-Ming Huang , Rui-Jie Xu , Bing-Hong Wang , Zhong-Can Ou-Yang

The problem of community detection in networks is usually formulated as finding a single partition of the network into some "correct" number of communities. We argue that it is more interpretable and in some regimes more accurate to…

In this paper we apply theoretical and practical results from facility location theory to the problem of community detection in networks. The result is an algorithm that computes bounds on a minimization variant of local modularity. We also…

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…

Social and Information Networks · Computer Science 2018-10-08 Jeancarlo Campos Leão , Michele Amaral Brandão , Pedro O. S. Vaz de Melo , Alberto H. F. Laender

A common and important problem arising in the study of networks is how to divide the vertices of a given network into one or more groups, called communities, in such a way that vertices of the same community are more interconnected than…

Social and Information Networks · Computer Science 2014-12-04 James D. Wilson , Simi Wang , Peter J. Mucha , Shankar Bhamidi , Andrew B. Nobel

We present a fast spectral algorithm for community detection in complex networks. Our method searches for the partition with the maximum value of the modularity via the interplay of several refinement steps that include both agglomeration…

Physics and Society · Physics 2015-06-23 Santiago Treviño , Amy Nyberg , Charo I. Del Genio , Kevin E. Bassler

Accurately identifying the underlying graph structures of multi-agent systems remains a difficult challenge. Our work introduces a novel machine learning-based solution that leverages the attention mechanism to predict future states of…

Multiagent Systems · Computer Science 2024-10-29 Akshay Kolli , Reza Azadeh , Kshitj Jerath

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

We present and discuss a mathematical procedure for identification of small "communities" or segments within large bipartite networks. The procedure is based on spectral analysis of the matrix encoding network structure. The principal tool…

Physics and Society · Physics 2011-05-26 Frantisek Slanina , Zdenek Konopasek

Community detection in complex networks is a topic of considerable recent interest within the scientific community. For dealing with the problem that genetic algorithm are hardly applied to community detection, we propose a genetic…

Social and Information Networks · Computer Science 2013-03-25 Dongxiao He , Zhe Wang , Bin Yang , Chunguang Zhou

We consider the problem of fuzzy community detection in networks, which complements and expands the concept of overlapping community structure. Our approach allows each vertex of the graph to belong to multiple communities at the same time,…

Physics and Society · Physics 2011-11-10 Tamás Nepusz , Andrea Petróczi , László Négyessy , Fülöp Bazsó

Identifying significant community structures in networks with incomplete data is a challenging task, as the reliability of solutions diminishes with increasing levels of missing information. However, in many empirical contexts, some…

Social and Information Networks · Computer Science 2024-10-28 Nicola Pedreschi , Renaud Lambiotte , Alexandre Bovet

Many methods have been proposed for community detection in networks, but most of them do not take into account additional information on the nodes that is often available in practice. In this paper, we propose a new joint community…

Machine Learning · Statistics 2016-12-13 Yuan Zhang , Elizaveta Levina , Ji Zhu

In principle, higher-order networks that have multiple edge types are more informative than their lower-order counterparts. In practice, however, excessively rich information may be algorithmically infeasible to extract. It requires an…

Social and Information Networks · Computer Science 2017-10-25 Tatsuro Kawamoto

Community detection in networks is a key exploratory tool with applications in a diverse set of areas, ranging from finding communities in social and biological networks to identifying link farms in the World Wide Web. The problem of…

Machine Learning · Statistics 2017-09-05 Peter J. Bickel , Purnamrita Sarkar