External Memory Orthogonal Range Reporting with Fast Updates

TL;DR

This paper introduces external memory data structures for orthogonal range reporting that achieve fast query and update times, matching or closely approximating the best existing solutions.

Contribution

It presents new external memory data structures that support efficient orthogonal range reporting with fast updates, improving upon previous methods.

Findings

Query costs match the best known structures

Update operations are performed efficiently

Achieves near-optimal performance in external memory

Abstract

In this paper we describe data structures for orthogonal range reporting in external memory that support fast update operations. The query costs either match the query costs of the best previously known data structures or differ by a small multiplicative factor.