Advanced
Optimization of Graph Traversal
Analyze the time and space complexity of a modified Dijkstra's algorithm and propose optimizations for dynamic graphs.
📝 Содержимое промпта
Provide a theoretical analysis of a modified Dijkstra's algorithm that supports edge weight updates dynamically. Derive the Time Complexity for the update operation and the shortest path query operation using a Fibonacci Heap. Compare this to the standard static implementation and propose a heuristic optimization that could reduce average-case runtime for spatially clustered graphs.