The Basis Number of the Semi-Composition Product of Some Graphs I

Authors: M. M. JARADAT, E. A. RAWASHDEH, M. Y. ALZOUBI

Abstract: The basis number of a graph G is defined to be the least integer d such that there is a basis \mathcal{B} of the cycle space of G such that each edge of G is contained in at most d members of \mathcal{B}. We investigate the basis number of the semi-composition product of two paths and a cycle with a path.

Keywords: Basis number; cycle space; fold; semi-composition product

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