Geodesic
The crossing numbers of certain Cartesian products
Discussiones Mathematicae. Graph Theory, Tome 15 (1995) no. 1, pp. 5-10 Cet article a éte moissonné depuis la source Library of Science

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In this article we determine the crossing numbers of the Cartesian products of given three graphs on five vertices with paths.
Keywords: graph, drawing, crossing number, path, Cartesian product 
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Klešč, Marián. The crossing numbers of certain Cartesian products. Discussiones Mathematicae. Graph Theory, Tome 15 (1995) no. 1, pp. 5-10. http://geodesic.mathdoc.fr/item/DMGT_1995_15_1_a0/

[1] L. W. Beineke, R. D. Ringeisen, On the crossing numbers of producs of cycles and graphs of order four, J. Graph Theory 4 (1980) 145-155, doi: 10.1002/jgt.3190040203.

[2] S. Jendrol', M. Ščerbovâ, On the crossing numbers of Sₘ × Pₙ and Sₘ × Cₙ, Casopis pro pestováni matematiky 107 (1982) 225-230.

[3] M. Klešč, On the crossing numbers of Cartesian products of stars and paths or cycles, Mathematica Slovaca 41 (1991) 113-120.

[4] M. Klešč, The crossing numbers of products of paths and stars with 4-vertex graphs, J. Graph Theory 18 (1994) 605-614.