Geodesic
On the basis number and the minimum cycle bases of the wreath product of some graphs i
Discussiones Mathematicae. Graph Theory, Tome 26 (2006) no. 1, pp. 113-134

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A construction of a minimum cycle bases for the wreath product of some classes of graphs is presented. Moreover, the basis numbers for the wreath product of the same classes are determined.
Keywords: cycle space, basis number, cycle basis, wreath product 
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Jaradat, Mohammed. On the basis number and the minimum cycle bases of the wreath product of some graphs i. Discussiones Mathematicae. Graph Theory, Tome 26 (2006) no. 1, pp. 113-134. http://geodesic.mathdoc.fr/item/DMGT_2006_26_1_a10/