Directed acyclic graph (DAG): Why is it a game changer? It functions as a network of interconnected branches that grows outward in several directions. Transactions can be confirmed in order of magnitude faster while remaining decentralized since each node confirms only the previous one.

The Apollo team is continuing the development of a viable mathematical model for DAG. That includes finding the best defensive countermeasures for attacks, as well as solutions to the following:

Time complexity of topological sorting

Solutions to the longest path problem

Determining if a path between two vertices exists in a directed graph

Processing logic

Defining key guarantees and achieving Liveness

DAG’s advantages include:

High transactions per second (TPS)

Low transaction fees

Nano transactions and micropayments

Scalability

DAG solves the problems of scalability, high fees and long confirmation times. Apollo Foundation is working towards the following:

Solve scalability issues of existing DLTs

Distinguish the Apollo platform from traditional block ledger-based storage by employing an improved version of existing DAG-based protocols

Process at least one million TPS (transactions per second).

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