Abstract
Let � ' (G) and � ' (G) be the matching number and edge covering number of G, respectively. The tensor product G1 ⊗ G2 of graph of G1 and G2 has vertex set V (G1 ⊗ G2) = V (G1) × V (G2) and edge set E(G1 ⊗ G2) = {(u1v1)(u2v2) | u1u2 ∈ E(G1) and v1v2 ∈ E(G2)}. In this paper, we determined generalization of matching number and edge covering on tensor product of fan graph and any simple graph.
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