Abstract
We give a detailed algebraic characterization of when a graph G can be imbedded in the projective plane. The characterization is in terms of the existence of a dual graph G∗ on the same edge set as G which satisfies algebraic conditions inspired by homology groups and intersection products in homology groups.
| Original language | English |
|---|---|
| Pages (from-to) | 320-331 |
| Number of pages | 12 |
| Journal | Journal of Graph Theory |
| Volume | 42 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 2003 |
ASJC Scopus Subject Areas
- Geometry and Topology
- Discrete Mathematics and Combinatorics
Keywords
- Dual graph
- Imbedding
- Intersection product
- Projective plane
Disciplines
- Applied Mathematics
- Applied Statistics
- Mathematics