Graph problem solve by using the standard graph Algorithm. Example isLarge matrix problems, graphs solving problems, equations etc. There is a representation of two algorithms. The algorithm to find all pair shortest path is Floyd War shall algorithm, single source shortest path is Dijkstra'salgorithm. These two algorithm implement in serial formulation. Parallel algorithm is considerably effective for large graph size. By using these algorithm find the shortest distance, such as city to city, routing, networking, social media. Parallel algorithm used for calculating or finding shortest path of graph. With the help of graph algorithm these operations can be done in parallel and reduce the computation time and efficiency. All pair shortest path problem apply for directed and undirected graph whose finite nodes and edges in un-weighted and undirected graph.