IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i18p2294-d637546.html
   My bibliography  Save this article

Network Analysis Based on Important Node Selection and Community Detection

Author

Listed:
  • Attila Mester

    (Department of Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania)

  • Andrei Pop

    (Department of Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania)

  • Bogdan-Eduard-Mădălin Mursa

    (Department of Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania)

  • Horea Greblă

    (Department of Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania)

  • Laura Dioşan

    (Department of Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania)

  • Camelia Chira

    (Department of Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania)

Abstract

The stability and robustness of a complex network can be significantly improved by determining important nodes and by analyzing their tendency to group into clusters. Several centrality measures for evaluating the importance of a node in a complex network exist in the literature, each one focusing on a different perspective. Community detection algorithms can be used to determine clusters of nodes based on the network structure. This paper shows by empirical means that node importance can be evaluated by a dual perspective—by combining the traditional centrality measures regarding the whole network as one unit, and by analyzing the node clusters yielded by community detection. Not only do these approaches offer overlapping results but also complementary information regarding the top important nodes. To confirm this mechanism, we performed experiments for synthetic and real-world networks and the results indicate the interesting relation between important nodes on community and network level.

Suggested Citation

  • Attila Mester & Andrei Pop & Bogdan-Eduard-Mădălin Mursa & Horea Greblă & Laura Dioşan & Camelia Chira, 2021. "Network Analysis Based on Important Node Selection and Community Detection," Mathematics, MDPI, vol. 9(18), pages 1-16, September.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:18:p:2294-:d:637546
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/18/2294/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/9/18/2294/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Roger Guimerà & Luís A. Nunes Amaral, 2005. "Functional cartography of complex metabolic networks," Nature, Nature, vol. 433(7028), pages 895-900, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Natalia Markovich & Maksim Ryzhov & Marijus Vaičiulis, 2022. "Tail Index Estimation of PageRanks in Evolving Random Graphs," Mathematics, MDPI, vol. 10(16), pages 1-26, August.
    2. Jun Zhao & Wenyu Rong & Di Liu, 2023. "Urban Agglomeration High-Speed Railway Backbone Network Planning: A Case Study of Beijing-Tianjin-Hebei Region, China," Sustainability, MDPI, vol. 15(8), pages 1-22, April.
    3. Zuraida Abal Abas & Mohd Natashah Norizan & Zaheera Zainal Abidin & Ahmad Fadzli Nizam Abdul Rahman & Hidayah Rahmalan & Ida Hartina Ahmed Tharbe & Wan Farah Wani Wan Fakhruddin & Nurul Hafizah Mohd Z, 2022. "Modeling Physical Interaction and Understanding Peer Group Learning Dynamics: Graph Analytics Approach Perspective," Mathematics, MDPI, vol. 10(9), pages 1-18, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Minchao Wang & Wu Zhang & Wang Ding & Dongbo Dai & Huiran Zhang & Hao Xie & Luonan Chen & Yike Guo & Jiang Xie, 2014. "Parallel Clustering Algorithm for Large-Scale Biological Data Sets," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-9, April.
    2. Tinic, Murat & Sensoy, Ahmet & Demir, Muge & Nguyen, Duc Khuong, 2020. "Broker Network Connectivity and the Cross-Section of Expected Stock Returns," MPRA Paper 104719, University Library of Munich, Germany.
    3. Christian F A Negre & Hayato Ushijima-Mwesigwa & Susan M Mniszewski, 2020. "Detecting multiple communities using quantum annealing on the D-Wave system," PLOS ONE, Public Library of Science, vol. 15(2), pages 1-14, February.
    4. Leto Peel & Tiago P. Peixoto & Manlio De Domenico, 2022. "Statistical inference links data and theory in network science," Nature Communications, Nature, vol. 13(1), pages 1-15, December.
    5. Xue Wen & Delong Zhang & Bishan Liang & Ruibin Zhang & Zengjian Wang & Junjing Wang & Ming Liu & Ruiwang Huang, 2015. "Reconfiguration of the Brain Functional Network Associated with Visual Task Demands," PLOS ONE, Public Library of Science, vol. 10(7), pages 1-16, July.
    6. Bai, Xiwen & Ma, Zhongjun & Zhou, Yaoming, 2023. "Data-driven static and dynamic resilience assessment of the global liner shipping network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 170(C).
    7. Nicholas S. Vonortas & Koichiro Okamura, 2013. "Network structure and robustness: lessons for research programme design," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 22(4), pages 392-411, June.
    8. Wang, Mingyan & Zeng, An & Cui, Xiaohua, 2022. "Collective user switching behavior reveals the influence of TV channels and their hidden community structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    9. Sukeda, Issey & Miyauchi, Atsushi & Takeda, Akiko, 2023. "A study on modularity density maximization: Column generation acceleration and computational complexity analysis," European Journal of Operational Research, Elsevier, vol. 309(2), pages 516-528.
    10. Inmaculada Gutiérrez & Juan Antonio Guevara & Daniel Gómez & Javier Castro & Rosa Espínola, 2021. "Community Detection Problem Based on Polarization Measures: An Application to Twitter: The COVID-19 Case in Spain," Mathematics, MDPI, vol. 9(4), pages 1-27, February.
    11. Howard Muchen Hsu & Zai-Fu Yao & Kai Hwang & Shulan Hsieh, 2020. "Between-module functional connectivity of the salient ventral attention network and dorsal attention network is associated with motor inhibition," PLOS ONE, Public Library of Science, vol. 15(12), pages 1-15, December.
    12. Feng, Xiao & He, Shiwei & Li, Guangye & Chi, Jushang, 2021. "Transfer network of high-speed rail and aviation: Structure and critical components," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    13. Yang, Yitao & Jia, Bin & Yan, Xiao-Yong & Zhi, Danyue & Song, Dongdong & Chen, Yan & de Bok, Michiel & Tavasszy, Lóránt A. & Gao, Ziyou, 2023. "Uncovering and modeling the hierarchical organization of urban heavy truck flows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 179(C).
    14. Wu, Jiaxin & Lu, Jing & Zhang, Lingye & Fan, Hanwen, 2024. "Spatial heterogeneity among different-sized port communities in directed-weighted global liner shipping network," Journal of Transport Geography, Elsevier, vol. 114(C).
    15. Manikandan Narayanan & Adrian Vetta & Eric E Schadt & Jun Zhu, 2010. "Simultaneous Clustering of Multiple Gene Expression and Physical Interaction Datasets," PLOS Computational Biology, Public Library of Science, vol. 6(4), pages 1-13, April.
    16. Helena Osterholz & Stephanie Turner & Linda J. Alakangas & Eva-Lena Tullborg & Thorsten Dittmar & Birgitta E. Kalinowski & Mark Dopson, 2022. "Terrigenous dissolved organic matter persists in the energy-limited deep groundwaters of the Fennoscandian Shield," Nature Communications, Nature, vol. 13(1), pages 1-14, December.
    17. Ursula A. Tooley & Aidan Latham & Jeanette K. Kenley & Dimitrios Alexopoulos & Tara A. Smyser & Ashley N. Nielsen & Lisa Gorham & Barbara B. Warner & Joshua S. Shimony & Jeffrey J. Neil & Joan L. Luby, 2024. "Prenatal environment is associated with the pace of cortical network development over the first three years of life," Nature Communications, Nature, vol. 15(1), pages 1-16, December.
    18. Milena Oehlers & Benjamin Fabian, 2021. "Graph Metrics for Network Robustness—A Survey," Mathematics, MDPI, vol. 9(8), pages 1-48, April.
    19. Zhang, Yuerong & Marshall, Stephen & Manley, Ed, 2021. "Understanding the roles of rail stations: Insights from network approaches in the London metropolitan area," Journal of Transport Geography, Elsevier, vol. 94(C).
    20. Yau-Hua Yu & Hsu-Ko Kuo & Kuo-Wei Chang, 2008. "The Evolving Transcriptome of Head and Neck Squamous Cell Carcinoma: A Systematic Review," PLOS ONE, Public Library of Science, vol. 3(9), pages 1-11, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2021:i:18:p:2294-:d:637546. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.