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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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