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To find out the shortest paths from a single source to all other vertices's is a common problem in graph analysis. The Bellman¬Ford's algorithm is solves such a single¬source shortestpath (SSSP) problem and better applies to beparallelized for many¬core architectures. TheSequential Bellman-Ford Algorithm is that it very time consuming for large data set & it's time complexity is O(ve). Therefore, frontier based Bellman¬Ford's algorithm significantly reduces the number of relaxation operation,doi:10.17148/ijarcce.2017.65124 fatcat:xgjxmk3a3bfsbha3hdjb3rdisa