Space Efficient Tree

Definition ∞ A space-efficient tree is a data structure designed to store hierarchical information while minimizing the amount of memory required, often through clever encoding or compression techniques. These trees maintain rapid query and update capabilities despite their compact representation. In cryptography and blockchain, such structures are crucial for verifying large datasets or transaction histories without needing to store the entire data locally. They enable efficient proof generation and verification.
Context ∞ The development of space-efficient tree structures, such as Merkle trees and Verkle trees, is paramount for improving the scalability and light client capabilities of blockchain networks. These structures allow users to verify the integrity of specific data within a vast ledger without downloading the entire chain, significantly reducing storage and bandwidth requirements. Future advancements in these data structures are critical for the continued expansion and decentralization of high-throughput blockchain systems.