
AbstractGiven a set F of digraphs, we say a graph G is a F‐graph (resp., F*‐graph) if it has an orientation (resp., acyclic orientation) that has no induced subdigraphs isomorphic to any of the digraphs in F. It is proved that all the classes of graphs mentioned in the title are F‐graphs or F*‐graphs for subsets F of a set of three digraphs.
Graph theory, interval graph, circular-arc graph, Directed graphs (digraphs), tournaments, Structural characterization of families of graphs, forbidden subgraph
Graph theory, interval graph, circular-arc graph, Directed graphs (digraphs), tournaments, Structural characterization of families of graphs, forbidden subgraph
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