数据结构-图-dfs

图的深度优先遍历

图的 dfs 跟树的 dfs 类似，都是从一个顶点一直遍历到不可遍历为止，通过 dfs 可以求出图的联通分量，每个顶点的联通分量

代码实现

class DFSComponent {
  constructor(g) {
    this.g = g;
    this.visited = new Array(g.V()).fill(false);
    this.id = new Array(g.V()).fill(-1);
    this.ccount = 0;

    for (let i = 0; i < g.V(); i++) {
      if (!this.visited[i]) {
        this.dfs(i);
        this.ccount++;
      }
    }
  }

  dfs(v) {
    this.visited[v] = true;
    this.id[v] = this.ccount;
    for (const i of this.g.adj(v)) {
      if (!this.visited[i]) {
        this.dfs(i);
      }
    }
  }

  count() {
    return this.ccount;
  }

  isConnected(v, w) {
    if (!(v >= 0 && v < this.g.V())) {
      throw new Error('Out of boundary!');
    }
    if (!(w >= 0 && w < this.g.V())) {
      throw new Error('Out of boundary!');
    }
    return this.id[v] === this.id[w];
  }
}

module.exports = DFSComponent;

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图的深度优先遍历

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