Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Outerplanar graph
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
===Other properties=== Outerplanar graphs have [[degeneracy (graph theory)|degeneracy]] at most two: every subgraph of an outerplanar graph contains a vertex with degree at most two.<ref>{{harvtxt|Lick|White|1970}}.</ref> Outerplanar graphs have [[treewidth]] at most two, which implies that many graph optimization problems that are [[NP-complete]] for arbitrary graphs may be solved in [[polynomial time]] by [[dynamic programming]] when the input is outerplanar. More generally, ''k''-outerplanar graphs have treewidth O(''k'').<ref>{{harvtxt|Baker|1994}}.</ref> Every outerplanar graph can be represented as an [[intersection graph]] of axis-aligned rectangles in the plane, so outerplanar graphs have [[boxicity]] at most two.<ref>{{harvtxt|Scheinerman|1984}}; {{harvtxt|Brandstädt|Le|Spinrad|1999}}, p. 54.</ref>
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)