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Given two strings $T$ and $S$ and a set of strings $P$, for each string $p\in P$, consider the unique substrings of $T$ that have $p$ as their prefix and$S$ as their suffix. Two problems then come to mind; the first problem beingthe counting of such substrings, and the second problem being the problem oflisting all such substrings. In this paper, we describe linear-time,linear-space suffix tree-based algorithms for both problems. More specifically,we describe an $O(|T| + |P|)$ time algorithm for the counting problem, and an$O(|T| + |P| + \#(ans))$ time algorithm for the listing problem, where$\#(ans)$ refers to the number of strings being listed in total, and $|P|$refers to the total length of the strings in $P$. We also consider the reversedversion of the problems, where one prefix condition string and multiple suffixcondition strings are given instead, and similarly describe linear-time,linear-space algorithms to solve them.

Suffix tree-based linear algorithms for multiple prefixes, single suffix counting and listing problems