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Let j ≥ 3. Given that mj(H,G) denotes the smallest positive integer s such that Kj×s→(H,G). In this paper, we exhaustively find mj(P4,G) for all 11 non-isomorphic graphs G on 4 vertices, out of which 6 graphs G are connect ed and the others are disconnected.

$mj(P_4,G)$ for all Graphs G on 4 Vertices