A directed acyclic graph (DAG) is a finite graph that consists of directed edges and has no cycles, meaning that it is impossible to start at any vertex and follow a consistently directed path that returns to the same vertex. This structure is crucial in various applications, particularly in blockchain and distributed ledger technology, as it allows for the efficient organization and management of transactions or data without circular dependencies. The lack of cycles enables clear ordering, making it easier to maintain consistency and integrity in decentralized systems.
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