Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-29T01:09:38.706Z Has data issue: false hasContentIssue false
  • English
  • Français

The random division of faces in a planar graph

Published online by Cambridge University Press:  01 July 2016

Richard Cowan  and
Simone Chen
Richard Cowan
Affiliation:
The University of Hong Kong
Simone Chen
Affiliation:
The University of Hong Kong
Get access Rights & Permissions [Opens in a new window]

Extract

Consider a connected planar graph. A bounded face is said to be of type k, or is called a k-face, if the boundary of that face contains k edges. Under various natural rules for randomly dividing bounded faces by the addition of new edges, we investigate the limiting distribution of face type as the number of divisions increases.

Type
Stochastic Geometry and Statistical Applications
Information
Advances in Applied Probability , Volume 28 , Issue 2 , June 1996 , pp. 331
Copyright
Copyright © Applied Probability Trust 1996 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Cowan, R. (1989) The division of space and the Poisson distribution. Adv. Appl. Prob. 21, 233–234.Google Scholar
Cowan, R. and Morris, V. B. (1988) Division rules for polygonal cells. J. Theor. Biol. 131, 33–42.CrossRefGoogle ScholarPubMed