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References:

[1] A. A. Ali and Salar Y. Alsardary: **On the basis number of a graph**. Dirasat 14 (1987), 43–51.

[2] A. A. Ali: **The basis number of the join of graphs**. Arab J. Math. 10 (1989), 21–33. Zbl 0806.05043

[3] A. A. Ali: **The basis number of complete multipartite graphs**. Ars Combin. 28 (1989), 41–49. MR 1039129 | Zbl 0728.05058

[4] A. A. Ali: **The basis number of the direct products of paths and cycles**. Ars Combin. 27 (1989), 155–164. MR 0989461

[5] A. A. Ali and G. T. Marougi: **The basis number of the cartesian product of some graphs**. J. Indian Math. Soc. (N.S.) 58 (1992), 123–134. MR 1207033

[6] Salar Y. Alsardary and A. A. Ali: **The basis number of some special non-planar graphs**. Czechoslovak Math. J (to appear). MR 1983447

[7] J. A. Banks and E. F. Schmeichel: **The basis number of the $n$-cube**. J. Combin. Theory, Ser. B 33 (1982), 95–100. DOI 10.1016/0095-8956(82)90061-2 | MR 0685059

[8] J. A. Bondy and S. R. Murty: **Graph Theory with Applications**. Amer. Elsevier, New York, 1976. MR 0411988

[9] S. MacLane: **A combinatorial condition for planar graphs**. Fund. Math. 28 (1937), 22–32. Zbl 0015.37501

[10] E. F. Schmeichel: **The basis number of a graph**. J. Combin. Theory, Ser. B. 30 (1981), 123–129. DOI 10.1016/0095-8956(81)90057-5 | MR 0615307 | Zbl 0385.05031

[11] J. Wojciechowski: **Long snakes in powers of the complete graph with an odd number of vertices**. J. London Math. Soc. II, Ser. 50 (1994), 465–476. DOI 10.1112/jlms/50.3.465 | MR 1299451 | Zbl 0814.05043