Strong oriented chromatic number of planar graphs without short cycles
Let M be an additive abelian group. A strong oriented coloringof an oriented graph G is a mapping φ from V(G) to M such that (1) φ(u) ≠ φ(v) whenever uv is an arc in G and (2) φ(v) - φ(u) ≠ -(φ(t) - φ(z)) whenever uv and zt are two arcs in G. We say that G has a M-strong-oriented co...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Discrete Mathematics & Theoretical Computer Science
2008-01-01
|
Series: | Discrete Mathematics & Theoretical Computer Science |
Online Access: | http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/455 |