## You are here

Homehomeomorphism

## Primary tabs

# homeomorphism

We say that a graph $G$ is *homeomorphic* to graph $H$ if the
realization $R(G)$ of $G$ is topologically homeomorphic to $R(H)$ or, equivalently, $G$ and $H$ have isomorphic subdivisions.

Adapted with permission of the author from *Modern Graph Theory* by Béla Bollobás, published by Springer-Verlag New York, Inc., 1998.

Related:

Subdivision, Realization

Type of Math Object:

Definition

Major Section:

Reference

## Mathematics Subject Classification

05C99*no label found*

- Forums
- Planetary Bugs
- HS/Secondary
- University/Tertiary
- Graduate/Advanced
- Industry/Practice
- Research Topics
- LaTeX help
- Math Comptetitions
- Math History
- Math Humor
- PlanetMath Comments
- PlanetMath System Updates and News
- PlanetMath help
- PlanetMath.ORG
- Strategic Communications Development
- The Math Pub
- Testing messages (ignore)

- Other useful stuff
- Corrections