MATHEMATICA BOHEMICA, Vol. 126, No. 1, pp. 1-13 (2001)

Characterization of $2$-minimally
nonouterplanar join graphs

D. G. Akka, J. K. Bano

D. G. Akka, Dept. of Mathematics, Smt. V. G. Women's College, Gulbarga, Karnataka, India; J. K. Bano, Dept. of Mathematics, Govt. Junior College, Sedam, Dist. Gulbarga, Karnataka, India

Abstract: In this paper, we present characterizations of pairs of graphs whose join graphs are 2-minimally nonouterplanar. In addition, we present a characterization of pairs of graphs whose join graphs are 2-minimally nonouterplanar in terms of forbidden subgraphs.

Keywords: join graphs, minimally nonouterplanar, forbidden, homeomorphic, block, cut vertex

Classification (MSC2000): 05C50, 05C99

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