IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v420y2022ics0096300321008754.html
   My bibliography  Save this article

Generalized k-core percolation on higher-order dependent networks

Author

Listed:
  • Wang, Wei
  • Li, Wenyao
  • Lin, Tao
  • Wu, Tao
  • Pan, Liming
  • Liu, Yanbing

Abstract

In biology and technology systems, the proper functioning of agents may be mutually interdependent, where the failure of an agent can cause the dysfunctionality of other dependent agents. Usually, we adopt the dependence network to capture such dependency relations among agents; however, the interdependency relations are only pairwise but could be of higher-order. In other words, an agent’s failure can induce the failure of several other nodes in a high-order interaction (e.g., the same group or clique) simultaneously. In this paper, we propose a generalized k-core percolation model to investigate the robustness of the higher-order dependent networks. In particular, we consider higher-order multi-layered dependency networks where both the interlayer and intralayer dependency relations are of a high order. We study the model using percolation theory and numerical simulations and find that the k-core percolation threshold and phase transition type depend on the average degree. Increasing the average degree enhances the system robustness. The system exhibits a discontinuous phase transition with a small k-core percolation threshold for networks with small average degree. Meanwhile, for networks with large average degrees, the system can either shows a continuous phase transition with a small k-core percolation threshold or a discontinuous phase transition with a large percolation threshold. In addition, we find that the intralayer dependency enhances the robustness of the system. Finally, we reveal that the degree heterogeneity makes the network more fragile. The above stated phenomena are well predicted by our developed percolation theory.

Suggested Citation

  • Wang, Wei & Li, Wenyao & Lin, Tao & Wu, Tao & Pan, Liming & Liu, Yanbing, 2022. "Generalized k-core percolation on higher-order dependent networks," Applied Mathematics and Computation, Elsevier, vol. 420(C).
  • Handle: RePEc:eee:apmaco:v:420:y:2022:i:c:s0096300321008754
    DOI: 10.1016/j.amc.2021.126793
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300321008754
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2021.126793?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Duh, Maja & Gosak, Marko & Perc, Matjaž, 2021. "Public goods games on random hyperbolic graphs with mixing," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    2. Li, Hui-Jia & Xu, Wenzhe & Song, Shenpeng & Wang, Wen-Xuan & Perc, Matjaž, 2021. "The dynamics of epidemic spreading on signed networks," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    3. Xueming Liu & Enrico Maiorino & Arda Halu & Kimberly Glass & Rashmi B. Prasad & Joseph Loscalzo & Jianxi Gao & Amitabh Sharma, 2020. "Robustness and lethality in multilayer biological molecular networks," Nature Communications, Nature, vol. 11(1), pages 1-12, December.
    4. Li, WenYao & Xue, Xiaoyu & Pan, Liming & Lin, Tao & Wang, Wei, 2022. "Competing spreading dynamics in simplicial complex," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    5. Sergey V. Buldyrev & Roni Parshani & Gerald Paul & H. Eugene Stanley & Shlomo Havlin, 2010. "Catastrophic cascade of failures in interdependent networks," Nature, Nature, vol. 464(7291), pages 1025-1028, April.
    6. Jianxi Gao & Xueming Liu & Daqing Li & Shlomo Havlin, 2015. "Recent Progress on the Resilience of Complex Networks," Energies, MDPI, vol. 8(10), pages 1-24, October.
    7. Ye, Jiachen & Ji, Peng & Waxman, David & Lin, Wei & Moreno, Yamir, 2020. "Impact of intra and inter-cluster coupling balance on the performance of nonlinear networked systems," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    8. Unai Alvarez-Rodriguez & Federico Battiston & Guilherme Ferraz Arruda & Yamir Moreno & Matjaž Perc & Vito Latora, 2021. "Evolutionary dynamics of higher-order interactions in social networks," Nature Human Behaviour, Nature, vol. 5(5), pages 586-595, May.
    9. Feng Hu & Lin Ma & Xiu-Xiu Zhan & Yinzuo Zhou & Chuang Liu & Haixing Zhao & Zi-Ke Zhang, 2021. "The aging effect in evolving scientific citation networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(5), pages 4297-4309, May.
    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. Liu, Run-Ran & Chu, Changchang & Meng, Fanyuan, 2023. "Higher-order interdependent percolation on hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    2. Tian, Yang & Tian, Hui & Cui, Yajuan & Zhu, Xuzhen & Cui, Qimei, 2023. "Influence of behavioral adoption preference based on heterogeneous population on multiple weighted networks," Applied Mathematics and Computation, Elsevier, vol. 446(C).
    3. Nie, Yanyi & Zhong, Xiaoni & Lin, Tao & Wang, Wei, 2023. "Pathogen diversity in meta-population networks," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    4. Zhao, Dandan & Li, Runchao & Peng, Hao & Zhong, Ming & Wang, Wei, 2022. "Percolation on simplicial complexes," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    5. Lv, Yuqian & Zhou, Bo & Wang, Jinhuan & Xuan, Qi, 2024. "Targeted k-node collapse problem: Towards understanding the robustness of local k-core structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 641(C).
    6. Lee, Yan-Li & Zhou, Tao & Yang, Kexin & Du, Yajun & Pan, Liming, 2023. "Personalized recommender systems based on social relationships and historical behaviors," Applied Mathematics and Computation, Elsevier, vol. 437(C).

    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. Nie, Yanyi & Zhong, Xiaoni & Lin, Tao & Wang, Wei, 2022. "Homophily in competing behavior spreading among the heterogeneous population with higher-order interactions," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    2. Zhao, Dandan & Li, Runchao & Peng, Hao & Zhong, Ming & Wang, Wei, 2022. "Percolation on simplicial complexes," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    3. Li, Xueqi & Ghosh, Dibakar & Lei, Youming, 2023. "Chimera states in coupled pendulum with higher-order interaction," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    4. Nie, Yanyi & Li, Wenyao & Pan, Liming & Lin, Tao & Wang, Wei, 2022. "Markovian approach to tackle competing pathogens in simplicial complex," Applied Mathematics and Computation, Elsevier, vol. 417(C).
    5. Li, WenYao & Xue, Xiaoyu & Pan, Liming & Lin, Tao & Wang, Wei, 2022. "Competing spreading dynamics in simplicial complex," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    6. Lee, Kyu-Min & Lee, Sungmin & Min, Byungjoon & Goh, K.-I., 2023. "Threshold cascade dynamics on signed random networks," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    7. Zheng, Kexian & Liu, Ying & Gong, Jie & Wang, Wei, 2022. "Robustness of circularly interdependent networks," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    8. Xiao-Long Ren & Niels Gleinig & Dijana Tolić & Nino Antulov-Fantulin, 2018. "Underestimated Cost of Targeted Attacks on Complex Networks," Complexity, Hindawi, vol. 2018, pages 1-15, January.
    9. Zhao, Dandan & Li, Runchao & Peng, Hao & Zhong, Ming & Wang, Wei, 2022. "Higher-order percolation in simplicial complexes," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    10. Ma, Ning & Yu, Guang & Jin, Xin, 2024. "Dynamics of competing public sentiment contagion in social networks incorporating higher-order interactions during the dissemination of public opinion," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    11. Kim, Dong Hwan & Eisenberg, Daniel A. & Chun, Yeong Han & Park, Jeryang, 2017. "Network topology and resilience analysis of South Korean power grid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 13-24.
    12. Fang Zhou & Xiang He & Yongbo Yuan & Mingyuan Zhang, 2020. "Influence of Interlink Topology on Multilayer Network Robustness," Sustainability, MDPI, vol. 12(3), pages 1-19, February.
    13. You, Tao & Yang, Haochun & Wang, Jian & Zhang, Peng & Chen, Jinchao & Zhang, Ying, 2023. "Cooperative behavior under the influence of multiple experienced guiders in Prisoner’s dilemma game," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    14. Song, Shenpeng & Feng, Yuhao & Xu, Wenzhe & Li, Hui-Jia & Wang, Zhen, 2022. "Evolutionary prisoner’s dilemma game on signed networks based on structural balance theory," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    15. Ni, Xuelian & Xiong, Fei & Pan, Shirui & Chen, Hongshu & Wu, Jia & Wang, Liang, 2023. "How heterogeneous social influence acts on human decision-making in online social networks," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    16. Zhang, Ziyu & Mei, Xuehui & Jiang, Haijun & Luo, Xupeng & Xia, Yang, 2023. "Dynamical analysis of Hyper-SIR rumor spreading model," Applied Mathematics and Computation, Elsevier, vol. 446(C).
    17. Wang, Jian & Fang, Hongying & Qin, Xiaolin, 2019. "Targeted attack on correlated interdependent networks with dependency groups," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    18. Peng, Hao & Qian, Cheng & Zhao, Dandan & Zhong, Ming & Han, Jianmin & Zhou, Tao & Wang, Wei, 2024. "Message-passing approach to higher-order percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 634(C).
    19. Li, Wen-Jing & Chen, Zhi & Jin, Ke-Zhong & Wang, Jun & Yuan, Lin & Gu, Changgui & Jiang, Luo-Luo & Perc, Matjaž, 2022. "Options for mobility and network reciprocity to jointly yield robust cooperation in social dilemmas," Applied Mathematics and Computation, Elsevier, vol. 435(C).
    20. Zhang, Wei & Brandes, Ulrik, 2023. "Is cooperation sustained under increased mixing in evolutionary public goods games on networks?," Applied Mathematics and Computation, Elsevier, vol. 438(C).

    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:eee:apmaco:v:420:y:2022:i:c:s0096300321008754. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.