Skip to main content

Fixing subgraphs of Km,n

Contributed Papers

  • 555 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 686)

Abstract

We characterise the fixing subgraphs of complete bipartite graphs Km,n and study various aspects of those which are minimal. These minimal fixing subgraphs are necessarily forests. In particular, we show that any given tree with parts of unequal size is a component of a minimal fixing subgraph of some Km,n.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Reference

  1. J. Sheehan, "Fixing subgraphs", J. Comb. Th., (B), 12 (1972), 226–244.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1978 Springer-Verlag

About this paper

Cite this paper

Chidzey, K. (1978). Fixing subgraphs of Km,n . In: Holton, D.A., Seberry, J. (eds) Combinatorial Mathematics. Lecture Notes in Mathematics, vol 686. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062524

Download citation

  • DOI: https://doi.org/10.1007/BFb0062524

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08953-7

  • Online ISBN: 978-3-540-35702-5

  • eBook Packages: Springer Book Archive