In recent years, with the public availability of AI tools, more people have become aware of how closely the inner workings of ...

Graph diameter (shortest longest path) The longest shortest path in a dependency graph (often referred to in graph theory as the "diameter" of the graph) represents the maximum distance (in terms of ...

On the other hand, shortest paths also represent one of the biggest mysteries in algorithmic graph theory once negative weights are allowed. The O (mn) running time of the Bellman-Ford algorithm from ...

Efficient identification of influential nodes is crucial in complex networks due to its significant theoretical and practical implications for information propagation and various applications. Despite ...

We propose shortest path algorithms that use A* search in combination with a new graph-theoretic lower-bounding technique based on landmarks and the triangle inequality. Our algorithms compute optimal ...

In algorithms, as in life, negativity can be a drag. Consider the problem of finding the shortest path between two points on a graph — a network of nodes connected by links, or edges. Often, these ...

Graph theory seeks to provide tools for gaining information from graphs, which in general can be quite complex. For trick-or-treating, after constructing the graph and doing calculations with the ...