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This work investigates 2RP-property of a generalized hypercube G. Given any four distinct vertices u, v, x and y in G, let l 1 and l 2 be two integers such that l 1 (l 2) is not less than the distance between u and v (x and y), and l 1 +l 2 is equal to the number of vertices in G minus two. Then, there exist two vertex-disjoint paths P 1 and P 2 such that… (More)