On the basis number of the direct product of graphs
نویسنده
چکیده
The basis number b(G) of a graph G is defined to be the least integer d such that G has a d-fold basis for its cycle space. In this paper we: give an upper bound of the basis number of the direct product of trees; classify the trees with respect to the basis number of the direct product of trees and paths of order greater than or equal to 5; give an upper bound of the basis number of the direct product of bipartite graphs; and investigate the basis number of the direct product of a bipartite graph and a cycle.
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عنوان ژورنال:
- Australasian J. Combinatorics
دوره 27 شماره
صفحات -
تاریخ انتشار 2003