A Systematic Analysis of Splaying

A Systematic Analysis of Splaying

In this paper we perform an amortized analysis of a functional program for splaying. We construct a potential function that yields the same bound for the amortized cost of splaying as given by D.D. Sleator and R.E. Tarjan—the inventors of splay trees. In addition, we show that this bound is minimal for the class of “sum of logs” potentials. Our approach also applies to the analysis of path reve...

Rehabilitation of an unloved child: semi-splaying

Splay trees are widely considered as the classic examples of self-adjusting binary search trees and are part of probably every course on data structures and algorithms. Already in the first seminal paper on splay trees [7] alternative operations were introduced, among which semi-splaying. On the one hand the analysis of semi-splaying gives a smaller constant for the amortized complexity, howeve...

Central Macular Splaying and Outer Retinal Thinning in Asymptomatic Sickle Cell Patients by Spectral Domain Optical Coherence Tomography Short Title: Macular Splaying and Outer Retinal Thinning in Sickle Cell

Concurrent Search Tree by Lazy Splaying

In many search tree (maps) applications the distribution of items accesses is non-uniform, with some popular items accessed more frequently than others. Traditional self-adjusting tree algorithms adapt to the access pattern, but are not suitable for a concurrent setting since they constantly move items to the tree’s root, turning the root into a sequential hot spot. Here we present lazy splayin...

تحلیل مفهوم نظام‌مند

Background & Aim: The conceptual clarity is one of the most important parts of all researches. Systematic Concept Analysis is a research method which can be carried out individually or as a part of broader research project. The aim of systematic concept analysis such as other concept analysis methods is to clarify the target concept. Methods: This is a review study which conducted with no ti...