Variance of the Internal Profile in Suffix Trees
Jeffrey Gaither, Ward, Mark Daniel · arXiv (Cornell University) · 2016
The precise analysis of the variance of the profile of a suffix tree has been a longstanding open problem. We analyze three regimes of the asymptotic growth of the variance of the profile of a suffix tree built from a randomly generated binary string, in the nonuniform case. We utilize combinatorics on words, singularity analysis, and the Mellin transform.