A construction of minimum cycle bases of the lexicographic product of graphs is presented. Moreover, the length of a longest cycle of a minimal cycle basis is determined.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1403,
author = {M.M.M. Jaradat},
title = {Minimal cycle bases of the lexicographic product of graphs},
journal = {Discussiones Mathematicae Graph Theory},
volume = {28},
year = {2008},
pages = {229-247},
zbl = {1156.05030},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1403}
}
M.M.M. Jaradat. Minimal cycle bases of the lexicographic product of graphs. Discussiones Mathematicae Graph Theory, Tome 28 (2008) pp. 229-247. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1403/
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