https://timely-sprinkles-c55fc0.netlify.app/tags/dijkstra/ Recent content in Dijkstra on Changlin's Blog Hugo -- gohugo.io en-us Mon, 18 Dec 2023 18:39:55 -0600 https://timely-sprinkles-c55fc0.netlify.app/posts/dijkstra/ Mon, 18 Dec 2023 18:39:55 -0600 https://timely-sprinkles-c55fc0.netlify.app/posts/dijkstra/ Dijkstra’s Algorithm Given a weighted graph and a source vertex in the graph, find the shortest paths from the source to all the other vertices in the given graph. The process of the algorithm: 每次从未标记的节点中选择距离出发点最近的节点，标记并收录到最优路径集合中 计算刚加入节点A的邻近节点B的距离（不包含标记的节点），若节点A的距离+节点A到节点B的边长之和<节点B的距离，就更新节点B的距离和前面节点 循环直到目的地被标记 Node Starting Node Previous Node 0 0 1 4 0 2 12 1 3 19 2 4 21 5 5 11 6 6 9 7 7 8 0 8 14 2 From the table we know that the shortest path from node 0 to 4 is 21, we can also backtrace the path using the previous node from above: 4-5-6-7-0.