On locally-perfect colorings

نویسنده

  • Pierre Duchet
چکیده

A (proper) coloring of a finite simple graph (G) is pe#ect if it uses exactly o(G) colors, where o(G) denotes the order of a largest clique in G. A coloring is locally-perfect [3] if it induces on the neighborhood of every vertex v a perfect coloring of this neighborhood. A graph G is perfect (resp. locally-petfect) if every induced subgraph admits a perfect (resp. locally-perfect) coloring. Preissmann proved that locally-perfect graphs form a proper subclass of the class of perfect graphs, and she asked for the following:

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عنوان ژورنال:
  • Discrete Mathematics

دوره 74  شماره 

صفحات  -

تاریخ انتشار 1989