On a New Method of Storing a Variable Size Array

TL;DR

This paper presents log_vector, a novel data structure that offers constant time operations for array access, insertion, removal, and creation, optimizing space efficiency for variable size arrays.

Contribution

The paper introduces log_vector, a new data structure that achieves constant time complexity for key array operations with minimal space overhead.

Findings

Supports constant time random access, insertion, and deletion

Uses amortized constant space per element

Requires constant additional space for structure management

Abstract

This paper introduces a new data structure, log_vector, with the following properties: constant time random access to individual elements; constant time element addition to the end; constant time element removal from the end; constant time empty data structure creation; amortized constant space per individual elements; constant additional space used.