ABB 3BHE019719R0101 GVC736BE101

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ABB 3BHE019719R0101 GVC736BE101

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3BHE019719R0101 GVC736BE101 Dijkstra’s algorithm was proposed by Dutch computer scientist Azhar Dykstra. The Dijkstra algorithm uses breadth first search to solve the single source shortest path problem of non negative weighted directed graphs, and ultimately obtains a shortest path tree. This algorithm is commonly used in routing algorithms or as a submodule of other graph algorithms.

3BHE019719R0101 GVC736BE101 The input of this algorithm includes a weighted directed graph G and a source vertex S in G. We use V to represent the set of all vertices in G. Every edge in a graph is an ordered pair of elements formed by two vertices. (u, v) indicates that there is a path connecting vertex u to v. We use E to represent the set of all edges in G, and the weights of the edges are defined by the weight function w: E → [0, ∞]. Therefore, w (u, v) is the non negative weight from vertex u to vertex v.

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