Skip to main content

Sparseness and Isoperimetric Inequalities

  • Chapter
  • First Online:
  • 1067 Accesses

Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 358))

Abstract

In this chapter we investigate what it means for a graph to have relatively few edges. This leads to the notions of weakly sparse, approximately sparse and sparse graphs, as well as graphs which satisfy a strong isoperimetric inequality.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   169.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Keller, M., Lenz, D., Wojciechowski, R.K. (2021). Sparseness and Isoperimetric Inequalities. In: Graphs and Discrete Dirichlet Spaces. Grundlehren der mathematischen Wissenschaften, vol 358. Springer, Cham. https://doi.org/10.1007/978-3-030-81459-5_11

Download citation

Publish with us

Policies and ethics