Skip to main content
Log in

A network exploration model based on memory and local information

  • Original Article
  • Published:
Social Network Analysis and Mining Aims and scope Submit manuscript

Abstract

Scale-free networks comprising nodes and edges can be found in various real-world networks. Random walks are used for network exploration since they are essential for understanding the structure of scale-free networks. Agents (random walkers) should reduce the mean first passage time to a target node to increase network exploration efficiency. However, conventional network exploration models cannot flexibly respond to differences in network structures. Conventional models explore networks only using the degree of a current node. In this paper, we propose an exploration model based on a self-avoiding network exploration model. The proposed model selects an appropriate destination node using the local network structure in addition to the degree of a current node. Consequently, the proposed model outperforms than conventional models in respect with the first passage time.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

Data availability statement

All data generated or analyzed during this study are included in this published article (and its supplementary information files).

References

  • Albert R, Barabási AL (2002) Statistical mechanics of complex networks. Rev Mod Phys 74(1):47–97

    Article  MathSciNet  MATH  Google Scholar 

  • Barabási AL, Albert R (1999) Emergence of scaling in random networks. Science 286(5439):509–512

    Article  MathSciNet  MATH  Google Scholar 

  • Barabási AL, Bonabeau E (2003) Scale-free networks. Sci Am 288(5):60–69

    Article  Google Scholar 

  • Broido AD, Clauset A (2019) Scale-free networks are rare. Nat Commun 10(1017):1–10

    Google Scholar 

  • Costa LF, Rodriguez FA, Travieso G, Boas PRV (2006) Characterization of complex networks: a survey of measurements. Adva Phys 56(1):167–242

    Article  Google Scholar 

  • de Guzzi Bagnato G, Ronqui JRF, Travieso G (2018) Community detection in networks using self-avoiding. Phys A 505:1046–1055

  • de Henrique FA, Filipi NS, da Luciano FC, Diego RA (2017) Knowledge acquisition: a complex networks approach, Information. Science 421:154–166

    MATH  Google Scholar 

  • Erdős P, Rényi A (1960) On the evolution of random graphs. Publ Math Inst Hung Acad Sci 5:17–60

    MathSciNet  MATH  Google Scholar 

  • Erdős P, Rényi A (1961) On the strength of connectedness of a random graph. Acta Math Acad Sci Hungar 12:261–267

    Article  MathSciNet  MATH  Google Scholar 

  • Eugene FF (1995) Random walks in stock market prices. Financ Anal J 51(1):75–80

    Article  Google Scholar 

  • Herrero CP (2005) Self-avoiding walks on scale-free networks. Phys Rev E 71(1):016103

    Article  Google Scholar 

  • Herrero CP (2019) Self-avoiding walks and connective constants in clustered scale-free networks. Phys Rev E 99:012314

    Article  Google Scholar 

  • Holme P, Beom JK (2002) Growing scale-free networks with tunable clustering. Phys Rev E 65(2):026107

    Article  Google Scholar 

  • Ikeda S, Kubo I, Okumoto N, Yamashita M (2003) Impact of local topological information on random walks on finite graphs. In: Jos C, Baeten M (eds) International colloquium on automata, languages, and programming. Springer, Berlin, Heidelberg, pp 1054–1067

    Chapter  MATH  Google Scholar 

  • Khanh N, Duc AT (2012) Fitness-based generative models for power-law networks. In: Panos MP (ed) Handbook of optimization in complex networks. Springer, Cham, pp 39–53

    MATH  Google Scholar 

  • Kim Y, Park S, Yook SH (2016) Network exploration using true self-avoiding walks. Phys Rev E 94(4):042309

    Article  Google Scholar 

  • Lucas G, Filipi NS, Diego RA (2021) A comparative analysis of knowledge acquisition performance in complex networks. Inf Sci 555:46–57

    Article  MathSciNet  MATH  Google Scholar 

  • Michael JP, Simon B (2008) Random walk models in biology. Interface 5(25):813–834

    Google Scholar 

  • Noh JD, Rieger H (2004) Random walks on complex networks. Phys Rev Lett 92(11):118701

    Article  Google Scholar 

  • Sakiyama T, Gunji YP (2018) Optimal random search using limited spatial memory. R Soc Open Sci 5(3):5171057

    Article  Google Scholar 

  • Schreiber A, Cassemiro KN, Potoček V, Gábris A, Mosley PJ, Andersson E, Jex I, Silberhorn CH (2010) Photons walking the line: a quantum walk with adjustable coin operations. Phys Rev Lett 104(5):050502

    Article  Google Scholar 

  • Shubham G, Kusum D (2019) A novel random walk grey wolf optimizer. Swarm Evol Comput 44:101–112

    Article  Google Scholar 

  • Starnini M, Baronchelli A, Barrat A, Pastor-Satorras R (2012) Random walks on temporal networks. Phys Rev E 85(5):056115

    Article  Google Scholar 

  • Steven HS (2001) Exploring complex networks. Nature 410:268–276

    Article  MATH  Google Scholar 

  • Takashima K & Sakiyama T (2020) Self-avoiding walk with the autonomous selection on the network exploration. In: Proceedings of the SICE annual conference (SICE 2020) in USB

  • Wang AP, Pei WJ (2008) First passagee time of multiple Brownian particles on networks with applications. Phys A 387:4699–4708

    Article  Google Scholar 

  • Wang H, Qu C, Jiao C, Ruszel W (2019) Self-avoiding pruning random walk on signed network. New J Phys 21(3):035001

    Article  MathSciNet  Google Scholar 

  • Zhang P, Wang J, Li X, Li M, Di Z, Fan Y (2008) Clustering coefficient and community structure of bipartite networks. Phys A 387(27):6869–6875

    Article  Google Scholar 

Download references

Funding

Not applicable.

Author information

Authors and Affiliations

Authors

Contributions

TS and KT conceived and designed the experiments. KT developed algorithms, performed simulation experiments, and analyzed the data. KT and TS wrote the manuscript.

Corresponding author

Correspondence to Tomoko Sakiyama.

Ethics declarations

Conflict of interest

The authors have no conflicts of interest to declare.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary Information

Below is the link to the electronic supplementary material.

Supplementary file1 (DOCX 622 kb)

Rights and permissions

Springer Nature or its licensor 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.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Takashima, K., Sakiyama, T. A network exploration model based on memory and local information. Soc. Netw. Anal. Min. 12, 146 (2022). https://doi.org/10.1007/s13278-022-00975-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s13278-022-00975-9

Keywords

Navigation