Motif-based community detection in heterogeneous multilayer networks

Abstract Multilayer networks composed of intralayer edges and interlayer edges are an important type of complex networks. Considering the heterogeneity of nodes and edges, it is necessary to design more reasonable and diverse community detection methods for multilayer networks. Existing research on...

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Main Authors: Yafang Liu, Aiwen Li, An Zeng, Jianlin Zhou, Ying Fan, Zengru Di
Format: Article
Language:English
Published: Nature Portfolio 2024-04-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-024-59120-5
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author Yafang Liu
Aiwen Li
An Zeng
Jianlin Zhou
Ying Fan
Zengru Di
author_facet Yafang Liu
Aiwen Li
An Zeng
Jianlin Zhou
Ying Fan
Zengru Di
author_sort Yafang Liu
collection DOAJ
description Abstract Multilayer networks composed of intralayer edges and interlayer edges are an important type of complex networks. Considering the heterogeneity of nodes and edges, it is necessary to design more reasonable and diverse community detection methods for multilayer networks. Existing research on community detection in multilayer networks mainly focuses on multiplexing networks (where the nodes are homogeneous and the edges are heterogeneous), but few studies have focused on heterogeneous multilayer networks where both nodes and edges represent different semantics. In this paper, we studied community detection on heterogeneous multilayer networks and proposed a motif-based detection algorithm. First, the communities and motifs of multilayer networks are defined, especially the interlayer motifs. Then, the modularity of multilayer networks based on these motifs is designed, and the community structure of the multilayer network is detected by maximizing the modularity of multilayer networks. Finally, we verify the effectiveness of the detection algorithm on synthetic networks. In the experiments on synthetic networks, comparing with the classical community detection algorithms (without considering interlayer heterogeneity), the motif-based modularity community detection algorithm can obtain better results under different evaluation indexes, and we found that there exists a certain relationship between motifs and communities. In addition, the proposed algorithm is applied in the empirical network, which shows its practicability in the real world. This study provides a solution for the investigation of heterogeneous information in multilayer networks.
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spelling doaj.art-896b47dbeee146719fc0dd8ad184a47c2024-04-21T11:17:06ZengNature PortfolioScientific Reports2045-23222024-04-0114111410.1038/s41598-024-59120-5Motif-based community detection in heterogeneous multilayer networksYafang Liu0Aiwen Li1An Zeng2Jianlin Zhou3Ying Fan4Zengru Di5School of Systems Science, Beijing Normal UniversitySchool of Systems Science, Beijing Normal UniversitySchool of Systems Science, Beijing Normal UniversitySchool of Systems Science, Beijing Normal UniversitySchool of Systems Science, Beijing Normal UniversitySchool of Systems Science, Beijing Normal UniversityAbstract Multilayer networks composed of intralayer edges and interlayer edges are an important type of complex networks. Considering the heterogeneity of nodes and edges, it is necessary to design more reasonable and diverse community detection methods for multilayer networks. Existing research on community detection in multilayer networks mainly focuses on multiplexing networks (where the nodes are homogeneous and the edges are heterogeneous), but few studies have focused on heterogeneous multilayer networks where both nodes and edges represent different semantics. In this paper, we studied community detection on heterogeneous multilayer networks and proposed a motif-based detection algorithm. First, the communities and motifs of multilayer networks are defined, especially the interlayer motifs. Then, the modularity of multilayer networks based on these motifs is designed, and the community structure of the multilayer network is detected by maximizing the modularity of multilayer networks. Finally, we verify the effectiveness of the detection algorithm on synthetic networks. In the experiments on synthetic networks, comparing with the classical community detection algorithms (without considering interlayer heterogeneity), the motif-based modularity community detection algorithm can obtain better results under different evaluation indexes, and we found that there exists a certain relationship between motifs and communities. In addition, the proposed algorithm is applied in the empirical network, which shows its practicability in the real world. This study provides a solution for the investigation of heterogeneous information in multilayer networks.https://doi.org/10.1038/s41598-024-59120-5
spellingShingle Yafang Liu
Aiwen Li
An Zeng
Jianlin Zhou
Ying Fan
Zengru Di
Motif-based community detection in heterogeneous multilayer networks
Scientific Reports
title Motif-based community detection in heterogeneous multilayer networks
title_full Motif-based community detection in heterogeneous multilayer networks
title_fullStr Motif-based community detection in heterogeneous multilayer networks
title_full_unstemmed Motif-based community detection in heterogeneous multilayer networks
title_short Motif-based community detection in heterogeneous multilayer networks
title_sort motif based community detection in heterogeneous multilayer networks
url https://doi.org/10.1038/s41598-024-59120-5
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AT aiwenli motifbasedcommunitydetectioninheterogeneousmultilayernetworks
AT anzeng motifbasedcommunitydetectioninheterogeneousmultilayernetworks
AT jianlinzhou motifbasedcommunitydetectioninheterogeneousmultilayernetworks
AT yingfan motifbasedcommunitydetectioninheterogeneousmultilayernetworks
AT zengrudi motifbasedcommunitydetectioninheterogeneousmultilayernetworks