A bipartite expander graph is a graph with two distinct sets of nodes, where edges connect only nodes from different sets, exhibiting strong connectivity. These graphs maintain high connectivity even if a portion of their nodes or edges are removed. Any small subset of nodes in one partition connects to a larger subset of nodes in the other. This structural resilience is vital for building robust networks.
Context
In distributed systems and blockchain technology, bipartite expander graphs hold relevance for constructing secure and efficient communication networks or peer-to-peer architectures. Their properties can enhance data dissemination, fault tolerance, and resistance to sybil attacks within decentralized networks. Research explores their application in improving the scalability and decentralization of various digital asset protocols.
A new Byzantine Agreement protocol achieves optimal O(n+t · f) adaptive communication complexity, scaling cost by actual faults, not maximum potential faults.
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