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...

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Bibliographic Details
Main Authors: Mickaël Montassier, Pascal Ochem, Alexandre Pinlou
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