A Study on Splay Trees

نویسنده

  • Luís M. S. Russo
چکیده

We study the dynamic optimality conjecture, which predicts that splay trees are a form of universally efficient binary search tree, for any access sequence. We reduce this claim to a regular access bound, which seems plausible and might be easier to prove. This approach may be useful to establish dynamic optimality.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Multi-Splay Trees

In this thesis, we introduce a new binary search tree data structure called multi-splay tree and prove that multi-splay trees have most of the useful properties different binary search trees (BSTs) have. First, we demonstrate a close variant of the splay tree access lemma [ST85] for multi-splay trees, a lemma that implies multi-splay trees have the O(log n) runtime property, the static finger p...

متن کامل

When to use splay trees

In this paper we present new empirical results for splay trees. These results provide a better understanding of how cache performance affects query execution time. Our results show that splay trees can have faster lookup times compared with randomly built binary search trees (BST) under certain settings. In contrast, previous experiments have shown that because of the instruction overhead invol...

متن کامل

Splay Tree

Splay trees are self-adjusting binary search trees which were invented by Sleator and Tarjan [1]. This entry provides executable and verified functional splay trees. The amortized complexity of splay trees is analyzed in the AFP entry Amortized Complexity.

متن کامل

Dynamic Optimality and Multi-Splay Trees1

The Dynamic Optimality Conjecture [ST85] states that splay trees are competitive (with a constant competitive factor) among the class of all binary search tree (BST) algorithms. Despite 20 years of research this conjecture is still unresolved. Recently Demaine et al. [DHIP04] suggested searching for alternative algorithms which have small, but non-constant competitive factors. They proposed tan...

متن کامل

On the sequential access theorem and deque conjecture for splay trees

We give a new, simple proof for the sequential access theorem for splay trees. For an n-node splay tree, our bound on the number of rotations is 4:5n, with a smaller constant than the bound of 10:8n concluded by Tarjan. We extend our proof to prove the deque conjecture for output-restricted deques. Our proofs provide additional insights into the workings of splay trees. c © 2004 Elsevier B.V. A...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • CoRR

دوره abs/1511.03148  شماره 

صفحات  -

تاریخ انتشار 2015