What are some lesser-known graph algorithms?
There are several lesser-known graph algorithms, such as the Johnson's algorithm for finding all pairs shortest paths, and the Hopcroft-Karp algorithm for finding maximum matchings in bipartite graphs.
Can you explain Johnson's algorithm in more detail?
Sure! Johnson's algorithm uses a combination of Dijkstra's algorithm and the Bellman-Ford algorithm to find the shortest paths between all pairs of vertices in a sparse graph.
What is the time complexity of Johnson's algorithm?
The time complexity of Johnson's algorithm is O(V^2 log V + VE), where V is the number of vertices and E is the number of edges.
Are there any practical applications for these algorithms?
Yes, these algorithms are used in network routing, urban traffic planning, and various optimization problems in computer science.
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