Maths encyclopedia and lessons  
Search

Mathematics Encyclopedia and Lessons

 
     
 

Lessons

Popular
Subjects

algebra
arithmetic
calculus
equations
geometry
differential equations
trigonometry
number theory
probability theory
more
 

References

applied mathematics
mathematical games
mathematicians
more
 
 

Vertex-transitive graph

(Redirected from Vertex-transitive)

In mathematics, a vertex-transitive graph is a graph G such that, given any two vertices v1 and v2 of G, there is some automorphism

f : GG

such that

f ( v1 ) = v2.

In other words, a graph is vertex-transitive if its automorphism group acts transitively upon its vertices.

Every vertex-transitive graph is regular

See also

01-04-2007 01:18:14
The contents of this article are licensed from Wikipedia.org
under the GNU Free Documentation License. How to see transparent copy