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krahets
2023-11-09 05:13:48 +08:00
parent 9701430089
commit 0105644232
83 changed files with 516 additions and 509 deletions

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@@ -12,7 +12,7 @@ comments: true
**广度优先遍历是一种由近及远的遍历方式,从某个节点出发,始终优先访问距离最近的顶点,并一层层向外扩张**。如图 9-9 所示,从左上角顶点出发,先遍历该顶点的所有邻接顶点,然后遍历下一个顶点的所有邻接顶点,以此类推,直至所有顶点访问完毕。
![图的广度优先遍历](graph_traversal.assets/graph_bfs.png)
![图的广度优先遍历](graph_traversal.assets/graph_bfs.png){ class="animation-figure" }
<p align="center"> 图 9-9 &nbsp; 图的广度优先遍历 </p>
@@ -421,37 +421,37 @@ BFS 通常借助队列来实现。队列具有“先入先出”的性质,这
代码相对抽象,建议对照图 9-10 来加深理解。
=== "<1>"
![图的广度优先遍历步骤](graph_traversal.assets/graph_bfs_step1.png)
![图的广度优先遍历步骤](graph_traversal.assets/graph_bfs_step1.png){ class="animation-figure" }
=== "<2>"
![graph_bfs_step2](graph_traversal.assets/graph_bfs_step2.png)
![graph_bfs_step2](graph_traversal.assets/graph_bfs_step2.png){ class="animation-figure" }
=== "<3>"
![graph_bfs_step3](graph_traversal.assets/graph_bfs_step3.png)
![graph_bfs_step3](graph_traversal.assets/graph_bfs_step3.png){ class="animation-figure" }
=== "<4>"
![graph_bfs_step4](graph_traversal.assets/graph_bfs_step4.png)
![graph_bfs_step4](graph_traversal.assets/graph_bfs_step4.png){ class="animation-figure" }
=== "<5>"
![graph_bfs_step5](graph_traversal.assets/graph_bfs_step5.png)
![graph_bfs_step5](graph_traversal.assets/graph_bfs_step5.png){ class="animation-figure" }
=== "<6>"
![graph_bfs_step6](graph_traversal.assets/graph_bfs_step6.png)
![graph_bfs_step6](graph_traversal.assets/graph_bfs_step6.png){ class="animation-figure" }
=== "<7>"
![graph_bfs_step7](graph_traversal.assets/graph_bfs_step7.png)
![graph_bfs_step7](graph_traversal.assets/graph_bfs_step7.png){ class="animation-figure" }
=== "<8>"
![graph_bfs_step8](graph_traversal.assets/graph_bfs_step8.png)
![graph_bfs_step8](graph_traversal.assets/graph_bfs_step8.png){ class="animation-figure" }
=== "<9>"
![graph_bfs_step9](graph_traversal.assets/graph_bfs_step9.png)
![graph_bfs_step9](graph_traversal.assets/graph_bfs_step9.png){ class="animation-figure" }
=== "<10>"
![graph_bfs_step10](graph_traversal.assets/graph_bfs_step10.png)
![graph_bfs_step10](graph_traversal.assets/graph_bfs_step10.png){ class="animation-figure" }
=== "<11>"
![graph_bfs_step11](graph_traversal.assets/graph_bfs_step11.png)
![graph_bfs_step11](graph_traversal.assets/graph_bfs_step11.png){ class="animation-figure" }
<p align="center"> 图 9-10 &nbsp; 图的广度优先遍历步骤 </p>
@@ -469,7 +469,7 @@ BFS 通常借助队列来实现。队列具有“先入先出”的性质,这
**深度优先遍历是一种优先走到底、无路可走再回头的遍历方式**。如图 9-11 所示,从左上角顶点出发,访问当前顶点的某个邻接顶点,直到走到尽头时返回,再继续走到尽头并返回,以此类推,直至所有顶点遍历完成。
![图的深度优先遍历](graph_traversal.assets/graph_dfs.png)
![图的深度优先遍历](graph_traversal.assets/graph_dfs.png){ class="animation-figure" }
<p align="center"> 图 9-11 &nbsp; 图的深度优先遍历 </p>
@@ -829,37 +829,37 @@ BFS 通常借助队列来实现。队列具有“先入先出”的性质,这
为了加深理解,建议将图示与代码结合起来,在脑中(或者用笔画下来)模拟整个 DFS 过程,包括每个递归方法何时开启、何时返回。
=== "<1>"
![图的深度优先遍历步骤](graph_traversal.assets/graph_dfs_step1.png)
![图的深度优先遍历步骤](graph_traversal.assets/graph_dfs_step1.png){ class="animation-figure" }
=== "<2>"
![graph_dfs_step2](graph_traversal.assets/graph_dfs_step2.png)
![graph_dfs_step2](graph_traversal.assets/graph_dfs_step2.png){ class="animation-figure" }
=== "<3>"
![graph_dfs_step3](graph_traversal.assets/graph_dfs_step3.png)
![graph_dfs_step3](graph_traversal.assets/graph_dfs_step3.png){ class="animation-figure" }
=== "<4>"
![graph_dfs_step4](graph_traversal.assets/graph_dfs_step4.png)
![graph_dfs_step4](graph_traversal.assets/graph_dfs_step4.png){ class="animation-figure" }
=== "<5>"
![graph_dfs_step5](graph_traversal.assets/graph_dfs_step5.png)
![graph_dfs_step5](graph_traversal.assets/graph_dfs_step5.png){ class="animation-figure" }
=== "<6>"
![graph_dfs_step6](graph_traversal.assets/graph_dfs_step6.png)
![graph_dfs_step6](graph_traversal.assets/graph_dfs_step6.png){ class="animation-figure" }
=== "<7>"
![graph_dfs_step7](graph_traversal.assets/graph_dfs_step7.png)
![graph_dfs_step7](graph_traversal.assets/graph_dfs_step7.png){ class="animation-figure" }
=== "<8>"
![graph_dfs_step8](graph_traversal.assets/graph_dfs_step8.png)
![graph_dfs_step8](graph_traversal.assets/graph_dfs_step8.png){ class="animation-figure" }
=== "<9>"
![graph_dfs_step9](graph_traversal.assets/graph_dfs_step9.png)
![graph_dfs_step9](graph_traversal.assets/graph_dfs_step9.png){ class="animation-figure" }
=== "<10>"
![graph_dfs_step10](graph_traversal.assets/graph_dfs_step10.png)
![graph_dfs_step10](graph_traversal.assets/graph_dfs_step10.png){ class="animation-figure" }
=== "<11>"
![graph_dfs_step11](graph_traversal.assets/graph_dfs_step11.png)
![graph_dfs_step11](graph_traversal.assets/graph_dfs_step11.png){ class="animation-figure" }
<p align="center"> 图 9-12 &nbsp; 图的深度优先遍历步骤 </p>