[go: up one dir, main page]

Skip to main content

Properties of B2B Invoice Graphs and Detection of Structures

  • Conference paper
  • First Online:
Complex Networks & Their Applications XII (COMPLEX NETWORKS 2023)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 1143))

Included in the following conference series:

  • 913 Accesses

Abstract

In economy, a major issue is the potential lack of liquidity for settling the debts generated by payment delays among companies. Since this lack may trigger cascading failures, we analyse the interconnection of debts. Settling debts means lowering the systemic risks. We analyse the data of a large economic network from an Italian invoice operator on a one-year span. We compare different methods to detect structures or communities that could be helpful for debt netting algorithms. The structure of such networks is not currently well known. We give hints on how to sort and identify the type of B2B invoice graphs. In particular, we address the possibility to identify relevant communities in such networks.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

Notes

  1. 1.

    More information are available in an extended version on the French preprint server HAL.

  2. 2.

    Different visuals are available in an extended version on HAL.

References

  1. Akella, A., Chawla, S., Kannan, A., Seshan, S.: Scaling properties of the Internet graph. Association for Computing Machinery, New York, NY, USA, pp. 337–346 (2003). https://doi.org/10.1145/872035.872087

  2. Amato, M., Fatès, N., Gobbi, L.: The economics and algorithmics of an integral settlement procedure on B2B networks, 1 September 2021. http://dx.doi.org/10.2139/ssrn.3915380

  3. Barabasi, A.-L., Bonabeau, E: Scale-free networks. Sci. Am. 288(5), 60–69 (2003). http://www.jstor.org/stable/26060284

  4. Behrisch, M., Bach, B., Henry Riche, N., Schreck, T., Fekete, J.D.: Matrix reordering methods for table and network visualization. Comput. Graph. Forum 35, 24. Wiley (2016). https://inria.hal.science/hal-01326759/document

  5. Cox, D., Snell, E.: Special Logistic Analyses. Analysis of Binary Data, pp. 26–105, 2nd edn. Chapman and Hall, London (1989)

    Google Scholar 

  6. Faloutsos, M., Faloutsos, P., Faloutsos, C.: On power-law relationships of the Internet topology. SIGCOMM Comput. Commun. Rev. 29(4), 251–262 (1999). https://doi.org/10.1145/316194.316229

  7. Fortunato, S.: Community detection in graphs. Phys. Rep. 486(3-5), 75–174 (2010). ISSN 0370-1573, https://doi.org/10.1016/j.physrep.2009.11.002

  8. Fricke, D., Lux, T.: On the Distribution of Links in the Interbank Network: Evidence from the e-Mid Overnight Money Market, January 2013. https://EconPapers.repec.org/RePEc:zbw:ifwkwp:1819

  9. Gaffeo, E., Gobbi, L., Molinari, M.: The economics of netting in financial networks. J. Econ. Interact. Coord. 14, 595–622 (2019). https://doi.org/10.1007/s11403-018-0229-4

  10. Gu, L., Huang, H.L., Zhang, X.D.: The clustering coefficient and the diameter of small-world networks. Acta Math. Sin.-Engl. Ser. 29, 199–208 (2013). https://doi.org/10.1007/s10114-012-0387-6

  11. Iosifidis, G., Charette, Y., Airoldi, E.M., Littera, G., Tassiulas, L., Christakis, N.A.: Cyclic motifs in the Sardex monetary network. Nat. Hum. Behav. 2, 822–829 (2018). https://doi.org/10.1038/s41562-018-0450-0

  12. Klein, M.: A primal method for minimal cost flows with applications to the assignment and transportation problems. Manag. Sci. 14(3), 205–220 (1967). https://www.jstor.org/stable/2627433

  13. Lambiotte, R., Lefebvre, E., Blondel, V., Guillaume, J.L.: Fast unfolding of communities in large networks, July 2008. https://doi.org/10.1088/1742-5468/2008/10/P10008

  14. Leinonen, H., Soramäki, K.: Optimizing liquidity usage and settlement speed in payment systems. Discussion Papers 16/1999, Bank of Finland, Helsinki (1999). https://dx.doi.org/10.2139/ssrn.228249

  15. Guntzer, M.M., Jungnickel, D., Leclerc, M.: Efficient algorithms for the clearing of interbank payments, pp. 212–219 (1998). https://doi.org/10.1016/S0377-2217(97)00265-8

  16. Newman, M.: Communities, modules and large-scale structure in networks. Nat. Phys. (2011). https://doi.org/10.1038/nphys2162

  17. Seidman, S.: Network structure and minimum degree. Soc. Netw. 5(3), 269–287 (1983). ISSN 0378-8733, https://doi.org/10.1016/0378-8733(83)90028-X

  18. Travers, J., Milgram, S.: An experimental study of the small world problem. Sociometry 32(4), 425–443 (1969). http://www.jstor.org/stable/2786545

  19. Watts, D., Strogatz, S.: Collective dynamics of small-world networks. Nature 393, 440–442 (1998). https://doi.org/10.1038/30918

Download references

Acknowledgement

The authors are grateful to Infocert for their trust and support.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Joannès Guichon .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Guichon, J., Fatès, N., Contassot-Vivier, S., Amato, M. (2024). Properties of B2B Invoice Graphs and Detection of Structures. In: Cherifi, H., Rocha, L.M., Cherifi, C., Donduran, M. (eds) Complex Networks & Their Applications XII. COMPLEX NETWORKS 2023. Studies in Computational Intelligence, vol 1143. Springer, Cham. https://doi.org/10.1007/978-3-031-53472-0_37

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-53472-0_37

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-53471-3

  • Online ISBN: 978-3-031-53472-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics