algorithm Johnson Algorithm to find the shortest paths between all pair of vertices Johnson Algorithm is used to find shortest paths between every pair of vertices in a given weighted directed graph and here weights may be negative. Johnson Algorithm uses both Dijkstra and Bellman-Ford algorithms as subroutines.

graph algorithm Shortest Path Faster Algorithm: Finding shortest path from a node The Shortest Path Faster Algorithm (SPFA) is an improvement of the Bellmanâ€“Ford algorithm which computes single-source shortest paths in a weighted directed graph. The algorithm is believed to work well on random sparse graphs. SPFA Fanding Dung.

graph algorithm Floyd-Warshall Algorithm: Shortest path between all pair of nodes Floyd-Warshall Algorithm is an algorithm based on dynamic programming technique to compute the shortest path between all pair of nodes in a graph. The credit of Floyd-Warshall Algorithm goes to Robert Floyd, Bernard Roy and Stephen Warshall.

graph algorithm Dijkstra's algorithm: Finding shortest path between all nodes Dijkstra's algorithm is an algorithm for finding the shortest paths between nodes in a graph. Dijkstra's algorithm is applicable for: Both directed and undirected graphs, All edges must have nonnegative weights, Graph must be connected