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Deterministic Local Expansion

Definition

Deterministic Local Expansion refers to a property in graph theory and computer science where the expansion of a graph at any local point is predictable and uniform. In cryptographic contexts, this principle relates to constructing cryptographic primitives or protocols that maintain consistent security properties across all parts of a system. It ensures that small changes in input lead to significant, yet deterministically verifiable, changes in output. This characteristic is important for the robustness of hash functions and random number generators in blockchain systems. Such predictability is essential for maintaining the integrity and security of digital asset operations.