📖Explanation and Details

Graph Representation

Vertices: In this implementation, each vertex represents a blockchain network (e.g., Ethereum, Binance Smart Chain).

Edges: Each edge between vertices represents a possible transaction path between blockchains, with an associated cost (e.g., gas fees, network latency).

Dijkstra's Algorithm

Algorithm: This implementation uses Dijkstra's algorithm, which is efficient for finding the shortest path in a graph with non-negative weights (in this context, the lowest-cost path).

Priority Queue: A priority queue (min-heap) is used to explore vertices starting with the smallest cumulative cost.

Distance Table: Tracks the minimum cost to reach each vertex.

Previous Vertices Table: Helps reconstruct the optimal path once the algorithm has completed.

Real-World Integration

APIs for Real-Time Data: In a production environment, the weights (costs) on each edge would be dynamically updated based on realtime data from blockchain APIs, reflecting current gas fees, network conditions, and liquidity.

HTLC Integration: Although not shown in this simple example, Hashed Time-Locked Contracts (HTLCs) would be implemented to secure the atomicity of transactions. The HTLC logic would ensure that cross -chain transactions either fully succeed or fail, preventing partial transfers.