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Maximal outerplanar graphs with perfect face-independent vertex covers. (English) Zbl 0808.05042
Let $$G = (V, E)$$ be a 2-connected planar graph, embedded in the plane. A subset $$W \subseteq V$$ is called perfect face-independent vertex cover (FIVC) of $$G$$ if every face of $$G$$ has exactly one vertex in $$W$$. The main result characterizes those maximal outerplanar graphs which admit plane embeddings with perfect FIVCs.

##### MSC:
 05C10 Planar graphs; geometric and topological aspects of graph theory 05C05 Trees 68R10 Graph theory (including graph drawing) in computer science
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##### References:
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