Skip to main content

Dihedral Graph Properties

  • Chapter
  • 1907 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1928)

We discuss monotone dihedral graph properties, which are graph complexes on [n]that are invariant under the natural action of the dihedral group D n . More precisely, identify the corners of a regular n-gon with the vertices 1,…, n arranged in clockwise direction. Representing a given edge ij with the open line segment between the points representing i and j, we obtain the polygon representation of a graph. The natural action of D n on this graph is simply the action induced by the natural action of D n on the n—gon.

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   49.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   64.99
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.

Rights and permissions

Reprints and Permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

(2008). Dihedral Graph Properties. In: Simplicial Complexes of Graphs. Lecture Notes in Mathematics, vol 1928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75859-4_8

Download citation