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JJEM Tenth Issue - Volume 5 Number 2 -2021

Volume 5, Issue 2


Forbidden Subgraphs for Planar Vertex Semi-Middle Graph


Published:    2022-01-31


Authors


Niranjan K M,  Rajendra Prasad K C ,  Venkanagouda M Goudar,  Dupadahalli Basavaraja


Abstract


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.


Keywords


Forbidden; Minimally nonouterplanar graph; Outerplanar graph; Planar graph; Vertex semi-middle graph