@inbook{f9ee7a92a3a344fd877fc7a0d7e1c2ca,

title = "The power and limitations of static binary search trees with lazy finger",

abstract = "A static binary search tree where every search starts from where the previous one ends (lazy finger) is considered. Such a search method is more powerful than that of the classic optimal static trees, where every search starts from the root (root finger), and less powerful than when rotations are allowed—where finding the best rotation based tree is the topic of the dynamic optimality conjecture of Sleator and Tarjan. The runtime of the classic root-finger tree can be expressed in terms of the entropy of the distribution of the searches, but we show that this is not the case for the optimal lazy finger tree. A non-entropy based asymptotically-tight expression for the runtime of the optimal lazy finger trees is derived, and a dynamic programming-based method is presented to compute the optimal tree.",

author = "Presenjit Bose and Karim Dou{\"i}eb and John Iacono and Stefan Langerman",

year = "2014",

doi = "10.1007/978-3-319-13075-0_15",

language = "English (US)",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "181--192",

editor = "Hee-Kap Ahn and Chan-Su Shin",

booktitle = "Algorithms and Computation - 25th International Symposium, ISAAC 2014, Proceedings",

}