Article ID Journal Published Year Pages File Type
429232 Information Processing Letters 2007 5 Pages PDF
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