Abstract
To address the problem of poor stability and low accuracy of community division caused by the randomness in the traditional label propagation algorithm (LPA), a community discovery algorithm that combines seed node influence and neighborhood similarity is proposed. Firstly, the K-shell values of neighbor nodes are combined with clustering coefficients to define node influence, the initial seed set is filtered by a threshold, and the less influential one in adjacent node pairs is removed to obtain the final seed set. Secondly, the connection strengths between non-seed nodes and seed nodes are defined based on their own weights, distance weights, and common neighbor weights. The labels of non-seed nodes are updated to the labels of seed nodes with which they have the maximum connection strength. Further, for the case that the connection strengths between a non-seed node and multiple seed nodes are the same, a new neighborhood similarity combining the information between the two types of nodes and their neighbors is proposed, thus avoiding the instability caused by randomly selecting the labels of seed nodes. Experiments are conducted on six classic real networks and eight artificial datasets with different complexities. The comparison and analysis with dozens of related algorithms are also done, which shows the proposed algorithm effectively improves the execution efficiency, and the community division results are stable and more accurate, with a maximum improvement in the modularity of about 87.64% and 47.04% over the LPA on real and artificial datasets, respectively.
Similar content being viewed by others
References
Dey AK, Tian Y, Gel YR (2021) Community detection in complex networks: From statistical foundations to data science applications. Wiley Interdiscipl Rev Comput Stat. https://doi.org/10.1002/wics.1566
Zhou X, Yang K, Xie Y et al (2019) A novel modularity-based discrete state transition algorithm for community detection in networks. Neurocomputing 334:89–99. https://doi.org/10.1016/j.neucom.2019.01.009
Arinik N, Labatut V, Figueiredo R (2021) Characterizing and comparing external measures for the assessment of cluster analysis and community detection. IEEE Access. https://doi.org/10.1109/ACCESS.2021.3054621
Tommasel A, Godoy D (2018) Multi-view community detection with heterogeneous information from social media data. Neurocomputing 289:195–219. https://doi.org/10.1016/j.neucom.2018.02.023
Martinet LE, Kramer MA, Viles W et al (2020) Robust dynamic community detection with applications to human brain functional networks. Nat Commun 11(1):1–13
Li C, Zhang Y (2020) A personalized recommendation algorithm based on large-scale real micro-blog data. Neural Comput Appl. https://doi.org/10.1007/s00521-020-05042-y
Chakraborty T, Ghosh S, Park N (2019) Ensemble-based overlapping community detection using disjoint community structures. Knowl-Based Syst 163:241–251. https://doi.org/10.1016/j.knosys.2018.08.033
Li C, Chen H, Li T et al (2021) A stable community detection approach for complex network based on density peak clustering and label propagation. Appl Intell. https://doi.org/10.1007/s10489-021-02287-5
Lu M, Zhang Z, Qu Z et al (2018) LPANNI: Overlapping community detection using label propagation in large-scale complex networks. IEEE Trans Knowl Data Eng 31(9):1736–1749. https://doi.org/10.1109/TKDE.2018.2866424
Kaixuan DENG, Hongchang CHEN, Ruiyang HUANG (2018) Improved LPA algorithm based on label propagation ability. Comput Eng 44(3):60–64
Kitsak M, Gallos LK, Havlin S et al (2010) Identification of influential spreaders in complex networks. Nat Phys 6(11):888–893. https://doi.org/10.1038/nphys1746
Xiaojing YANG (2020) Community detection algorithm based on node influence and similarity. Huaqiao University, Quanzhou. https://doi.org/10.3390/math10060970
Zhenxin ZHAI, Yuecheng YU, Yu GU (2021) Community discovery algorithm combining LeaderRank and tag propagation. Comput Digit Eng 49(5):942–946
Gui Q, Deng R, Xue P et al (2018) A community discovery algorithm based on boundary nodes and label propagation. Pattern Recogn Lett 109:103–109. https://doi.org/10.1016/j.patrec.2017.12.018
Yuan Q, Liu B (2021) Community detection via an efficient nonconvex optimization approach based on modularity. Comput Stat Data Anal 157:107163. https://doi.org/10.1016/j.csda.2020.107163
Pan Z (2015) A revisit to evaluating the accuracy of community detection using the normalized mutual information. J Stat Mech: Theory Exp 2015(11):P11006
Zhang Y, Liu Y, Li Q et al (2020) Lilpa: a label importance based label propagation algorithm for community detection with application to core drug discovery. Neurocomputing 413:107–133. https://doi.org/10.1016/j.neucom.2020.06.088
Liu MM, Yang JY, Guo JF et al (2022) An improved two-stage label propagation algorithm based on LeaderRank. PeerJ Comput Sci 8:e981. https://doi.org/10.7717/peerj-cs.981
Xu G, Guo J, Yang P (2020) TNS-LPA: an improved label propagation algorithm for community detection based on two-level neighborhood similarity. IEEE Access 9:23526–23536. https://doi.org/10.1109/ACCESS.2020.3045085
Li H, Zhang R, Zhao Z et al (2021) LPA-MNI: an improved label propagation algorithm based on modularity and node importance for community detection. Entropy 23(5):497. https://doi.org/10.3390/e23050497
Wang T, Chen S, Wang X et al (2020) Label propagation algorithm based on node importance. Physica A 551:124137. https://doi.org/10.1016/j.physa.2020.124137
Liu MM, Guo JF, Ma XY et al (2018) community discovery in weighted social networks based on similarities of common neighbors. J Sichuan Univ Natl Sci Edn 55(01):89–98. https://doi.org/10.3745/JIPS.04.0133
Jing C, Jiangchuan L, Nana W (2022) An overlapping community discovery algorithm incorporating K-shell and label entropy. Comput Appl 42(04):1162–1169
Ma J, Liu F, Li H et al (2019) Overlapping community detection algorithm by label propagation using PageRank and node clustering coefficients. J Natl Univ Defense Technol 41(1):183–190
Qingshou WU, Rongwang CHEN, Wensen YU et al (2020) Overlapping community detection algorithm integrating label preprocessing and node influence. J Comput Appl 40(12):3578–3585
Kouni IBE, Karoui W, Romdhane LB (2020) Node importance based label propagation algorithm for overlapping community detection in networks. Expert Syst Appl 162:113020. https://doi.org/10.1016/j.eswa.2019.113020
Sun PG, Miao Q, Staab S (2021) Community-based k-shell decomposition for identifying influential spreaders. Pattern Recogn 120:108130. https://doi.org/10.1016/j.patcog.2021.108130
Yuyang L, Longjie Li, Na S et al (2020) A link prediction method incorporating aggregation coefficients. Comput Appl 40(1):28
Gao Y, Yu X, Zhang H (2021) Overlapping community detection by constrained personalized PageRank. Expert Syst Appl 173:114682. https://doi.org/10.1016/j.eswa.2021.114682
Pons P, Latapy M (2005) Computing communities in large networks using random walks. International Symposium on Computer and Information Sciences, Springer, Berlin/Heidelberg, Germany, pp 284–293
Kumar R, Moseley B, Vassilvitskii S et al (2015) Fast greedy algorithms in mapreduce and streaming. ACM Transactions on Parallel Computing (TOPC) 2(3):1–22
Newman MEJ (2006) Finding community structure in networks using the eigenvectors of matrices. Phys Rev E 74(3):036104. https://doi.org/10.1103/PhysRevE.74.036104
Raghavan UN, Albert R, Kumara S (2007) Near linear time algorithm to detect community structures in large-scale networks. Phys Rev E 76(3 Pt 2):036106. https://doi.org/10.1103/PhysRevE.76.036106
Liu MM (2020) Theory and application of weighted social network community discovery and link prediction. Tsinghua University Press, Beijing, pp 139–141
Aghaalizadeh S, Afshord ST, Bouyer A et al (2021) Improving the stability of label propagation algorithm by propagating from low-significance nodes for community detection in social networks. Computing 104(1):21–42
Yan X, Fangrong M, Yong Z et al (2014) A node influence based label propagation algorithm for community detection in networks. Sci World J. https://doi.org/10.1155/2014/627581
Hanzhang K, Qinma K, Chao L et al (2018) An improved label propagation algorithm based on node intimacy for community detection in networks. Int J Mod Phys B 32(25):1850279
Xiaohu D, Fuyuan C (2022) Node local similarity based on two-stage density peaks algorithm for overlapping community detection. Computer Science 49(12):170–177
Lidong Fu, Jiahui L, Qiuhong W (2023) Label propagation community discovery algorithm based on density peak. Appl Res Comput 40(8):1–7
Gregory S (2010) Finding overlapping communities in networks by label propagation. New J Phys 12(10):103018
Tong C, Niu J, Wen J, et al. (2015) Weighted label propagation algorithm for overlapping community detection. In: 2015 IEEE international conference on communications (ICC). IEEE, pp 1238–1243. https://doi.org/10.1109/ICC.2015.7248492
Wu T, Guo Y, Chen LT et al (2016) Integrated structure investigation in complex networks by label propagation. Phys A Stat Mech Appl 448:68–80
Zheng W, Che C et al (2018) A two-stage community discovery algorithm based on tag propagation. Comput Res Devel 55(09):1959–1971. https://doi.org/10.1016/j.physa.2015.12.073
Xie J, Szymanski B K, Liu XS (2011) Uncovering overlapping communities in social networks via a speaker-listener interaction dynamic process. In: 2011 IEEE 11th international conference on data mining workshops. IEEE, pp 344–349. https://doi.org/10.1109/ICDMW.2011.154
Liu K, Huang J, Sun H et al (2015) Label propagation based evolutionary clustering for detecting overlapping and non-overlapping communities in dynamic networks. Knowl-Based Syst 89:487–496. https://doi.org/10.1016/j.knosys.2015.08.015
Zhang XK, Ren J, Song C et al (2017) Label propagation algorithm for community detection based on node importance and label influence. Phys Lett A 381(33):2691–2698. https://doi.org/10.1016/j.physleta.2017.06.018
Newman MEJ (2004) Fast algorithm for detecting community structure in networks. Phys Rev E 69(6):066133. https://doi.org/10.1103/PhysRevE.69.066133
Li Q, Wang B, Melucci M. CNM (2019) An interpretable complex-valued network for matching. arXiv preprint arXiv:1904.05298. https://doi.org/10.48550/arXiv.1904.05298
Beni HA, Bouyer A (2020) TI-SC: top-k influential nodes selection based on community detection and scoring criteria in social networks. J Ambient Intell Humaniz Comput 11(11):4889–4908. https://doi.org/10.1007/s12652-020-01760-2
Xing Y, Meng F, Zhou Y et al (2014) A node influence based label propagation algorithm for community detection in networks. Sci World J. https://doi.org/10.1155/2014/627581
Funding
This work was supported by the National Natural Science Foundation of China (No.42002138), Postdoctoral Scientific Research Development Fund of Heilongjiang Province (No.LBH-Q20073), Excellent Young and Middle-aged Innovative Team Cultivation Foundation of Northeast Petroleum University (No.KYCXTDQ202101), and S&T Program of Hebei (No.226Z0102G).
Author information
Authors and Affiliations
Contributions
Miaomiao Liu designed the algorithm and wrote the main manuscript text. Jinyun Yang performed the experiments and revised the manuscript. Jingfeng Guo and Jing Chen helped design the algorithm. All authors reviewed the manuscript.
Corresponding author
Ethics declarations
Conflict of interest
All authors certify that they have no affiliations with or involvement in any organization or entity with any financial interest or non-financial interest in the subject matter or materials discussed in this manuscript.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Liu, M., Yang, J., Guo, J. et al. A label propagation community discovery algorithm combining seed node influence and neighborhood similarity. Knowl Inf Syst 66, 2625–2649 (2024). https://doi.org/10.1007/s10115-023-02035-w
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10115-023-02035-w