Navigation Piles with Applications to Sorting, Priority Queues, and Priority Deques

Theoretical and practical efficiency of priority queues

This is a study of the theoretical and practical efficiency of priority queues. The priority queue is an old and well studied data structure on which a great deal of theoretical and practical work has already been done. A priority queue can be realised in many ways, some of the most commonly used data structures for this are binary heaps and binomial queues. In this thesis the efficiency of pri...

An Efficient Construction Algorithm for a Class of Implicit Double-Ended Priority Queues

Priority queues and double-ended priority queues are fundamental data types in Computer Science, and various data structures have been proposed to implement them. In particular, diamond deques, interval heaps, min-max-pair heaps, and twin-heaps provide implicit structures for double-ended priority queues. Although these heap-like structures are essentially the same when they are presented in an...

Merging and Splitting Priority Queues and Deques in Parallel

Equivalence between Priority Queues and Sorting in External Memory

A priority queue is a fundamental data structure that maintains a dynamic ordered set of keys and supports the followig basic operations: insertion of a key, deletion of a key, and finding the smallest key. The complexity of the priority queue is closely related to that of sorting: A priority queue can be used to implement a sorting algorithm trivially. Thorup [11] proved that the converse is a...

Memory-Adjustable Navigation Piles with Applications to Sorting and Convex Hulls

We consider space-bounded computations on a random-access machine (RAM) where the input is given on a read-only random-access medium, the output is to be produced to a writeonly sequential-access medium, and the available workspace allows random reads and writes but is of limited capacity. The length of the input is N elements, the length of the output is limited by the computation, and the cap...