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In this paper, I present an algorithm called Raffica algorithm forSingle-Source Shortest Path(SSSP). On random graph, this algorithm has lineartime complexity(in expect). More precisely, the random graph uses configurationmodel, and the weights are distributed mostly positively. It is also linear forrandom grid graphs. Despite I made an assumption on the weights of the randomgraph, this algorithm is able to solve SSSP with arbitrary weights; when anegative cycle exists, this algorithm can find it out once traversed. Thealgorithm has a lot of appliances.

A practical Single Source Shortest Path algorithm for random directed graphs with arbitrary weight in expecting linear time