Geodesic
The Crossing Numbers of Join of Some Graphs with n Isolated Vertices
Discussiones Mathematicae. Graph Theory, Tome 38 (2018) no. 4, pp. 899-909

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There are only few results concerning crossing numbers of join of some graphs. In this paper, for some graphs on five vertices, we give the crossing numbers of its join with n isolated vertices.
Keywords: disconnected graph, crossing number, join product 
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Ding, Zongpeng; Huang, Yuanqiu. The Crossing Numbers of Join of Some Graphs with n Isolated Vertices. Discussiones Mathematicae. Graph Theory, Tome 38 (2018) no. 4, pp. 899-909. http://geodesic.mathdoc.fr/item/DMGT_2018_38_4_a2/