Skip to main content
Springer Nature Link
Log in

Exact Bounds on Cross-Intersecting Families

  • Published:
Graphs and Combinatorics Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract.

 Let ?, ℬ be cross-intersecting families, where ? is a k-uniform, ℬ is an l-uniform family on a finite underlying set. A tight bound is given on |?|+|ℬ|, if c≤|?|≤d holds for some natural numbers c,d.

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

Access this article

Log in via an institution

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

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Mathematical Institute of the Hungarian Academy of Sciences, H-1053 Budapest, Reáltanoda u. 13-15, Hungary. e-mail: ksvlcs@renyi.hu, , , , , , HU

    Ákos Kisvölcsey

Authors
  1. Ákos Kisvölcsey
    View author publications

    You can also search for this author inPubMed Google Scholar

Additional information

Received: February 8, 1999 Final version received: May 17, 2000

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kisvölcsey, Á. Exact Bounds on Cross-Intersecting Families. Graphs Comb 17, 275–287 (2001). https://doi.org/10.1007/PL00007246

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/PL00007246

Keywords