Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
429232 | Information Processing Letters | 2007 | 5 Pages |
Abstract
A graph G is 2-outerplanar if it has a planar embedding such that the subgraph obtained by removing the vertices of the outer face is outerplanar. The oriented chromatic number of an oriented graph H is defined as the minimum order of an oriented graph H′ such that H has a homomorphism to H′. In this paper, we prove that 2-outerplanar graphs are 4-degenerate. We also show that oriented 2-outerplanar graphs have a homomorphism to the Paley tournament QR67, which implies that their (strong) oriented chromatic number is at most 67.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics