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ReportBrief Introduction of the Used Algorithm

The algorithm used for finding the single source shortest path in this project is based on Bellman-Ford’s approach. Among the most-known applications can be highlighted the RIP (Routing Information Protocol) and network flow analysis (for cycle cancellation).

The present algorithm is used to discover the shortest paths from a single source node to the other vertices. A strong point is represented by the fact that it is usable in a weighted directed graph; although it performs slower than classical Dijkstra’s algorithm it is applicable in a wider range of situations because it can handle graphs where some of the edge weights are negative numbers.

The “relaxation” is applied by |V|-1 times to all edges (V is the number of nodes of the initial graph). At each step the number of nodes (having the distance correctly calculated) grows and in the end all vertices have their correct distances assigned....

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