Skip to main content
Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options answers only not deleted user 1532

graphs that can be embedded into the plane, i.e. that can be drawn without crossings between the lines representing edges.

5 votes

Generalizations of Planar Graphs

Graphs which are stress-free for a generic embedding into space is an interesting class of graphs that includes all planar graphs. One thing to notice is that edges of maximal planar graphs with n ve …
Gil Kalai's user avatar
  • 24.7k
2 votes

Generalizations of Planar Graphs

There are two interesting classes of directed planar graphs (where the undirected graph is 3-connected). One class consist of planar directed graphs with an acyclic unique sink property: those are acy …
Gil Kalai's user avatar
  • 24.7k
9 votes

Generalizations of Planar Graphs

One interesting generalization is to "small classes of graphs." A class of graphs is small if the number of isomorphism classes of such graphs with n vertices is (only) exp (O(n)). Forests, planar gra …
Gil Kalai's user avatar
  • 24.7k
5 votes

Generalizations of Planar Graphs

Here is another generalization of planar graphs. Start with a $d$-dimensional polytope $P$ with $n$ vertices. For every $2$-dimensional face $F$ triangulate $F$ by non crossing diagonals. So if $F$ h …
Gil Kalai's user avatar
  • 24.7k
4 votes

Generalizations of Planar Graphs

Jarik Nesetril and Patrice Ossona de Mendez developed the notion of "nowhere dense graphs" which extends the class of planar graphs. The class of nowhere dense graphs include all graphs with a forbid …
Gil Kalai's user avatar
  • 24.7k