Skip to main content

Communication Complexity Lower Bounds in Distributed Message-Passing

  • Conference paper
Structural Information and Communication Complexity (SIROCCO 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8576))

Abstract

Most theoretical models of distributed systems neglect the cost of local computation, and charge only for communication between the participants in the computation. For example, in shared memory models, we charge only for steps where processes interact with the shared memory, and in message-passing systems we charge only for messages sent between network nodes.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Kuhn, F., Drucker, A., Oshman, R.: The computational power of the congested clique. To appear in PODC 2014 (2014)

    Google Scholar 

  2. Bar-Yossef, Z., Jayram, T.S., Kumar, R., Sivakumar, D.: An information statistics approach to data stream and communication complexity. J. Comput. Syst. Sci. 68(4), 702–732 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  3. Braverman, M., Ellen, F., Oshman, R., Pitassi, T., Vaikuntanathan, V.: A tight bound for set disjointness in the message-passing model. In: Proc. 54th Symp. on Found. of Comp. Science (FOCS), pp. 668–677 (2013)

    Google Scholar 

  4. Dolev, D., Lenzen, C., Peled, S.: “Tri, tri again”: Finding triangles and small subgraphs in a distributed setting (extended abstract). In: Aguilera, M.K. (ed.) DISC 2012. LNCS, vol. 7611, pp. 195–209. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  5. Drucker, A., Kuhn, F., Oshman, R.: The communication complexity of distributed task allocation. In: PODC, pp. 67–76 (2012)

    Google Scholar 

  6. Kalyanasundaram, B., Schnitger, G.: The probabilistic communication complexity of set intersection. SIAM Journal on Discrete Mathematics 5(4), 545–557 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  7. Kuhn, F., Oshman, R.: The complexity of data aggregation in directed networks. In: Peleg, D. (ed.) DISC 2011. LNCS, vol. 6950, pp. 416–431. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  8. Kushilevitz, E., Nisan, N.: Communication Complexity. Cambridge University Press (2006)

    Google Scholar 

  9. Lenzen, C.: Optimal deterministic routing and sorting on the congested clique. In: Proc. 32nd Symp. on Principles of Distr. Comp. (PODC), pp. 42–50 (2013)

    Google Scholar 

  10. Patt-Shamir, B., Teplitsky, M.: The round complexity of distributed sorting: extended abstract. In: Proc. 30th Symp. on Principles of Distr. Comp. (PODC), pp. 249–256 (2011)

    Google Scholar 

  11. Peleg, D.: Distributed Computing: A Locality-sensitive Approach. Society for Industrial and Applied Mathematics (2000)

    Google Scholar 

  12. Phillips, J.M., Verbin, E., Zhang, Q.: Lower bounds for number-in-hand multiparty communication complexity, made easy. In: Proc. 23rd Symp. on Discrete Algorithms (SODA), pp. 486–501 (2012)

    Google Scholar 

  13. Razborov, A.: On the distributed complexity of disjointness. TCS: Theoretical Computer Science 106 (1992)

    Google Scholar 

  14. Das Sarma, A., Holzer, S., Kor, L., Korman, A., Nanongkai, D., Pandurangan, G., Peleg, D., Wattenhofer, R.: Distributed verification and hardness of distributed approximation. SIAM Journal on Computing 41(5), 1235–1265 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  15. Woodruff, D.P., Zhang, Q.: Tight bounds for distributed functional monitoring. In: Proc. 44th Symp. on Theory of Comp. (STOC), pp. 941–960 (2012)

    Google Scholar 

  16. Woodruff, D.P., Zhang, Q.: When distributed computation is communication expensive. In: Afek, Y. (ed.) DISC 2013. LNCS, vol. 8205, pp. 16–30. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  17. Yao, A.C.-C.: Some complexity questions related to distributive computing (preliminary report). In: STOC, pp. 209–213 (1979)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Oshman, R. (2014). Communication Complexity Lower Bounds in Distributed Message-Passing. In: Halldórsson, M.M. (eds) Structural Information and Communication Complexity. SIROCCO 2014. Lecture Notes in Computer Science, vol 8576. Springer, Cham. https://doi.org/10.1007/978-3-319-09620-9_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-09620-9_2

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09619-3

  • Online ISBN: 978-3-319-09620-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics