Mohammad Shakhatreh

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The basis number b(G) of a graph G is defined to be the least integer k such that G has a k-fold basis for its cycle space. In this note, we determine the basis number of the corona of graphs, in fact we prove that b(v • T) = 2 for any tree and any vertex v not in T, b(v • H) ≤ b(H) + 2, where H is any graph and v is not a vertex of H, also we prove that if(More)
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