The oriented chromatic number of graphs: A short survey

نویسنده

  • Éric Sopena
چکیده

An oriented graph is a digraph with no opposite arcs. The oriented chromatic number of an oriented graph G⃗ is the minimum order of an oriented graph to which G⃗ admits a homomorphism. The oriented chromatic number of an undirected graph is then defined as the maximum oriented chromatic number of its orientations. In this paper, we survey the main results about this graph parameter and propose a few open problems.

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تاریخ انتشار 2014