I think you mean solve rather than correct the short path problems. It is known that single source shortest path (SSSP) is a fundamental problem in graph theory. However, the existing SSSP implementations on field-programmable gate arrays (FPGAs) are incapable of processing large graphs by storing the graph and results in internal memories.
This problem is solved by parallel processing as in the paper at the link: Article An FPGA implementation for solving large Single Source Short...