Skip to main content
SpringerLink
Log in

Inequalities forf-vectors of 4-polytopes

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

LetV, E, S andF be the number of vertices, edges, subfacets and facets, respectively, of a 4-dimensional convex polytope. In this paper we derive new upper and lower bounds forS in terms ofF andV.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. B. Grünbaum,Convex Polytopes, Wiley and Sons, 1967.

  2. D. Walkup,The lower bound conjecture for 3-and 4-manifolds, Acta Mathematica,125 (1970), 75–107.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, Davis, California

    David Barnette

Authors
  1. David Barnette
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research supported by NSF grants GP-27963 and GP-19221.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Barnette, D. Inequalities forf-vectors of 4-polytopes. Israel J. Math. 11, 284–291 (1972). https://doi.org/10.1007/BF02789320

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02789320

Keywords

Search

Navigation