Definition ∞ An expander graph is a sparse graph with strong connectivity properties, meaning it remains well-connected even after removing a relatively large number of vertices or edges. In computer science and cryptography, these graphs are significant for constructing robust communication networks and efficient algorithms. They are particularly useful in distributed computing for their ability to ensure information spreads quickly and reliably across many nodes. Expander graphs possess properties valuable for building resilient decentralized systems.
Context ∞ In the context of blockchain and distributed systems, expander graphs are a subject of theoretical research aimed at improving network architecture and communication efficiency. Their application could potentially enhance the security and scalability of decentralized ledgers by optimizing data propagation. A current discussion involves exploring how these mathematical structures can contribute to more robust peer-to-peer networks. Future research may focus on practical implementations of expander graph principles to strengthen the underlying infrastructure of digital assets.
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