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DP Algorithmn for All-pairs Shortest Path Problem Back

Overview

  • All-pairs Shortest Path Problem在所有邊均是非負權值情況下, 若使用Dijkstra算法, 則時間複雜度則為
  • All-pairs Shortest Path Problem在有負權值的邊情況下, 若使用Bellma-Ford算法, 則時間複雜度則為
  • 約束條件: 節點間最多能過多少條邊
  • 時間複雜度:
  • : 表示第i個節點到第j個節點在最多能過m條邊的情況下, 最短的路徑值.

Recursive Expression

Solution

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