Describe an efficient algorithm to find the minimum length

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Problem : Joint suffix tree

A). Draw a joint suffix tree for three strings ACTAC, ATCAT, TCACT. Label the edges and terminal nodes.

B). Describe an efficient algorithm to find the minimum length l for a set of strings T1, T2, ..., Tk, such that there exist a unique signature substring of length l for each string.

For example, if T1 = ACGACGTA, T2 = ACTATGAC, and T3 = GATAGTA, the smallest l = 2, since a signature of length 2 can be found for each string: CG only appears in T1, CT only in T2 and AG only in T3, and there is no unique substring of length 1 for all sequences.

Reference no: EM132091570

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