Browsing Materials Science & Technology by Subject "Wreath product"
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On minimum cycle bases of the wreath product of wheels with stars
( Zenodo , 2010 , Article)The length of a cycle basis of a graph is the sum of the lengths of its elements. A minimum cycle basis is a cycle basis with minimum length. In this work, a construction of a minimum cycle basis for the wreath product of ... -
On the basis number and the minimum cycle bases of the wreath product of some graphs II
( University of Zielona Gora , 2010 , Article)A construction of a minimum cycle bases 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. -
On the basis number of the wreath product of paths with wheels and some related problems
( Charles Babbage Research Centre , 2017 , Article)In this paper, we investigate the basis number for the wreath product of wheels with paths. Also, as a related problem, we construct a minimum cycle basis of the same.