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Java實現圖的深度和廣度優先遍歷演算法

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概述:

  最近要學習寫網路爬蟲,所以把圖的深度和廣度搜索都再溫習一下。

圖結構展示:

實現過程:

首先,我們來看看圖結構在程式碼中的實現。有三塊邏輯:

1.圖中的節點:

  1. public class GraphNode {
  2. public List<GraphEdge> edgeList = null;
  3. private String label = "";
  4. public GraphNode(String label) {
  5. this.label = label;
  6. if (edgeList == null) {
  7. edgeList = new ArrayList<GraphEdge>();
  8. }
  9. }
  10. /**
  11. * 給當前節點新增一條邊
  12. * GraphNode
  13. * @param
    edge
  14. * 新增的邊
  15. */
  16. public void addEdgeList(GraphEdge edge) {
  17. edgeList.add(edge);
  18. }
  19. public String getLabel() {
  20. return label;
  21. }
  22. }

2.圖中的邊:

  1. public class GraphEdge {
  2. private GraphNode nodeLeft;
  3. private GraphNode nodeRight;
  4. /**
  5. * @param nodeLeft
  6. * 邊的左端
  7. * @param
    nodeRight
  8. * 邊的右端
  9. */
  10. public GraphEdge(GraphNode nodeLeft, GraphNode nodeRight) {
  11. this.nodeLeft = nodeLeft;
  12. this.nodeRight = nodeRight;
  13. }
  14. public GraphNode getNodeLeft() {
  15. return nodeLeft;
  16. }
  17. public GraphNode getNodeRight() {
  18. return nodeRight;
  19. }
  20. }

3.把節點和邊組合成一個圖結構:

  1. public class MyGraph {
  2. private List<GraphNode> nodes = null;
  3. public void initGraph(int n) {
  4. if (nodes == null) {
  5. nodes = new ArrayList<GraphNode>();
  6. }
  7. GraphNode node = null;
  8. for (int i = 0; i < n; i++) {
  9. node = new GraphNode(String.valueOf(i));
  10. nodes.add(node);
  11. }
  12. }
  13. public void initGraph(int n, boolean b) {
  14. initGraph(n);
  15. GraphEdge edge01 = new GraphEdge(nodes.get(0), nodes.get(1));
  16. GraphEdge edge02 = new GraphEdge(nodes.get(0), nodes.get(2));
  17. GraphEdge edge13 = new GraphEdge(nodes.get(1), nodes.get(3));
  18. GraphEdge edge14 = new GraphEdge(nodes.get(1), nodes.get(4));
  19. GraphEdge edge25 = new GraphEdge(nodes.get(2), nodes.get(5));
  20. GraphEdge edge26 = new GraphEdge(nodes.get(2), nodes.get(6));
  21. GraphEdge edge37 = new GraphEdge(nodes.get(3), nodes.get(7));
  22. GraphEdge edge47 = new GraphEdge(nodes.get(4), nodes.get(7));
  23. GraphEdge edge56 = new GraphEdge(nodes.get(5), nodes.get(6));
  24. nodes.get(0).addEdgeList(edge01);
  25. nodes.get(0).addEdgeList(edge02);
  26. nodes.get(1).addEdgeList(edge13);
  27. nodes.get(1).addEdgeList(edge14);
  28. nodes.get(2).addEdgeList(edge25);
  29. nodes.get(2).addEdgeList(edge26);
  30. nodes.get(3).addEdgeList(edge37);
  31. nodes.get(4).addEdgeList(edge47);
  32. nodes.get(5).addEdgeList(edge56);
  33. }
  34. public void initGraph() {
  35. initGraph(8, false);
  36. }
  37. public List<GraphNode> getGraphNodes() {
  38. return nodes;
  39. }
  40. }
  有了圖的結構,我們就可以進行一些實際的操作了。

深度優先搜尋:

  1. public class DFSearch {
  2. /**
  3. * 深度遍歷
  4. * DFSearch
  5. * @param node
  6. * 當前節點
  7. * @param visited
  8. * 被訪問過的節點列表
  9. */
  10. public void searchTraversing(GraphNode node, List<GraphNode> visited) {
  11. // 判斷是否遍歷過
  12. if (visited.contains(node)) {
  13. return;
  14. }
  15. visited.add(node);
  16. System.out.println("節點:" + node.getLabel());
  17. for (int i = 0; i < node.edgeList.size(); i++) {
  18. searchTraversing(node.edgeList.get(i).getNodeRight(), visited);
  19. }
  20. }
  21. }

廣度優先搜尋:

  1. public class BFSearch {
  2. /**
  3. * 廣度優先搜尋
  4. * BFSearch
  5. * @param node
  6. * 搜尋的入口節點
  7. */
  8. public void searchTraversing(GraphNode node) {
  9. List<GraphNode> visited = new ArrayList<GraphNode>(); // 已經被訪問過的元素
  10. Queue<GraphNode> q = new LinkedList<GraphNode>(); // 用佇列存放依次要遍歷的元素
  11. q.offer(node);
  12. while (!q.isEmpty()) {
  13. GraphNode currNode = q.poll();
  14. if (!visited.contains(currNode)) {
  15. visited.add(currNode);
  16. System.out.println("節點:" + currNode.getLabel());
  17. for (int i = 0; i < currNode.edgeList.size(); i++) {
  18. q.offer(currNode.edgeList.get(i).getNodeRight());
  19. }
  20. }
  21. }
  22. }
  23. }

執行結果:

原始碼下載:

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