Geodesic
Characterizations of planar plick graphs
Discussiones Mathematicae. Graph Theory, Tome 24 (2004) no. 1, pp. 41-45

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In this paper we present characterizations of graphs whose plick graphs are planar, outerplanar and minimally nonouterplanar.
Keywords: inner vertex number, planar graph, line graph, plick graph 
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Kulli, V.; Basavanagoud, B. Characterizations of planar plick graphs. Discussiones Mathematicae. Graph Theory, Tome 24 (2004) no. 1, pp. 41-45. http://geodesic.mathdoc.fr/item/DMGT_2004_24_1_a2/