Near real-time suffix tree construction via the fringe marked ancestor problem

Abstract

We contribute a further step towards the plausible real time construction of suffix trees by presenting an on-line algorithm that spends O(log log n) time processing each input symbol and takes O(n log log n) time in total. Our results improve on a previously published algorithm that take O(log n) time per symbol and O(n log n) time in total. The improvements are achieved using a new data structure for the fringe marked ancestor problem, a special case of the nearest marked ancestor problem, which may be of independent interest. © 2011 Springer-Verlag.