On the Basis Number and the Minimum Cycle Bases of the Wreath Product of Some Graphs II

M.K. Al-Qeyyam1, M.M.M. Jaradat2, Irbid- Jordan3
1Department of Mathematics Yarmouk University
2Department of Mathematics Yarmouk University
3Department of Mathematics and Physics Qatar University Doha-Qatar

Abstract

A construction of a minimum cycle basis for the wreath product of a star by a path, two stars and a star by a wheel is given. Moreover, the basis numbers of these products are determined.

Keywords: Cycle space; Basis number; Cycle basis; Wreath product.