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In  and  , the author proved that the union of two linear star-configurations in P 2 of type t × s with 3 ≤ t ≤ 10 and t ≤ s has generic Hilbert function. In this paper, we prove that the union of two linear star-configurations in P 2 of type t × s with 3 ≤ t and t 2 − 1 ≤ s has also generic Hilbert function.doi:10.14403/jcms.2013.26.2.403 fatcat:o5yhdb7qbvcefka3mhax56t4qi