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Discussiones Mathematicae Graph Theory 28(2) (2008)
229-247
DOI: https://doi.org/10.7151/dmgt.1403
MINIMAL CYCLE BASES OF THE LEXICOGRAPHIC PRODUCT OF GRAPHS
M.M.M. Jaradat
Department of Mathematics
Yarmouk University
Irbid-Jordan
e-mail: mmjst4@yu.edu.jo
Abstract
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.Keywords: cycle space, lexicographic product, cycle basis.
2000 Mathematics Subject Classification: 05C38, 05C75, 05B35.
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Received 23 May 2007
Revised 17 April 2008
Accepted 17 April 2008
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