Ukkonen's algorithm

In computer science, Ukkonen's algorithm is a linear-time, online algorithm for constructing suffix trees, proposed by Esko Ukkonen in 1995.[1] The algorithm begins with an implicit suffix tree containing the first character of the string. Then it steps through the string, adding successive characters until the tree is complete. This order addition of characters gives Ukkonen's algorithm its "on-line" property. The original algorithm presented by Peter Weiner proceeded backward from the last character to the first one from the shortest to the longest suffix.[2] A simpler algorithm was found by Edward M. McCreight, going from the longest to the shortest suffix.[3]

  1. ^ Ukkonen, E. (1995). "On-line construction of suffix trees" (PDF). Algorithmica. 14 (3): 249–260. CiteSeerX 10.1.1.10.751. doi:10.1007/BF01206331. S2CID 6027556.
  2. ^ Weiner, Peter (1973). "Linear pattern matching algorithms" (PDF). 14th Annual Symposium on Switching and Automata Theory (SWAT 1973). pp. 1–11. CiteSeerX 10.1.1.474.9582. doi:10.1109/SWAT.1973.13.
  3. ^ McCreight, Edward Meyers (1976). "A Space-Economical Suffix Tree Construction Algorithm". Journal of the ACM. 23 (2): 262–272. CiteSeerX 10.1.1.130.8022. doi:10.1145/321941.321946. S2CID 9250303.