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Niranjan K M, Rajendra Prasad K C , Venkanagouda M Goudar, Dupadahalli Basavaraja
In this communication, we present characterizations of graphs whose vertex semi-middle graph Mv(G) is planar, outerplanar and minimally nonouterplanar in terms of forbidden subgraphs. Further, we obtain Mv(G) is not maximal planar.
Forbidden; Minimally nonouterplanar graph; Outerplanar graph; Planar graph; Vertex semi-middle graph