Applying Bellman-Ford in Crypto

April 14, 2024

The Bellman-Ford algorithm is a popular algorithm used to find the shortest path in a graph. It can be applied to various domains, including the crypto markets.

In the crypto markets, the Bellman-Ford algorithm can be used to find the most profitable arbitrage opportunities. Cryptocurrencies are traded on multiple exchanges, and their prices can vary across different platforms. By representing the exchanges and their prices as a graph, we can apply the Bellman-Ford algorithm to find the shortest path that yields the highest profit.

The algorithm works by iteratively relaxing the edges of the graph, updating the distance and predecessor information for each vertex. In the context of the crypto markets, the distance represents the potential profit, and the predecessor represents the sequence of trades required to achieve that profit.

To apply the Bellman-Ford algorithm in the crypto markets, we need to represent the exchanges and their prices as a graph. Each exchange can be represented as a vertex, and the prices can be represented as weighted edges between the vertices. We can then run the Bellman-Ford algorithm on this graph to find the most profitable arbitrage opportunities.