Independent sets and non-augmentable paths in generalizations of tournaments

  title={Independent sets and non-augmentable paths in generalizations of tournaments},
  author={Hortensia Galeana-S{\'a}nchez and Ricardo G{\'o}mez},
  journal={Discrete Mathematics},
We study different classes of digraphs, which are generalizations of tournaments, to have the property of possessing a maximal independent set intersecting every non-augmentable or every longest path. The classes are the arc-local tournament, quasi-transitive, path-mergeable, locally insemicomplete (out-semicomplete), and semicomplete k-partite digraphs. A short survey is included in the introduction. 

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