DMGT

ISSN 1234-3099 (print version)

ISSN 2083-5892 (electronic version)

https://doi.org/10.7151/dmgt

Discussiones Mathematicae Graph Theory

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Discussiones Mathematicae Graph Theory

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Discussiones Mathematicae Graph Theory 26(1) (2006) 113-134
DOI: 10.7151/dmgt.1306

ON THE BASIS NUMBER AND THE MINIMUM CYCLE BASES OF THE WREATH PRODUCT OF SOME GRAPHS I

Mohammed M.M. Jaradat

Department of Mathematics
Yarmouk University
Irbid-Jordan
e-mail: mmjst4@yu.edu.jo

Abstract

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.

2000 Mathematics Subject Classification: 05C38, 05C75.

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Received 3 March 2005
Revised 9 September 2005