如何收集按深度级别分组的树结构的所有节点？

Question

我有一个带有子节点和父节点的经典树结构。现在，我想收集从最低级别开始按深度分组的所有节点（即以相反的顺序），如下所示：

nodes[
  ["A4"],
  ["A3","B3"],
  ["A2","B2","C2"],
  ["A1","B1","C1"],
  ["ROOT"]
];

虽然使用递归遍历方法获取深度级别非常容易，但我想知道是否有任何方法可以在 BFS 或 DFS 搜索中的树遍历过程中立即获取深度级别。

我知道我可以在节点插入期间存储深度级别，但由于我正在进行大量插入和删除操作，我更愿意一次收集按级别分组的整个结构。

此外，我根本不喜欢使用 BDS 或 DFS，两者都很好。这是我的实际代码：

function Node(code, parent) {
  this.code = code;
  this.children = [];
  this.parentNode = parent;
}
Node.prototype.addNode = function (code) {
  var l = this.children.push(new Node(code, this));
  return this.children[l-1];
};
Node.prototype.dfs = function (leafCallback) {
  var stack=[this], n, depth = 0;
  while(stack.length > 0) {
    n = stack.pop();
    if(n.children.length == 0) {
      if(leafCallback) leafCallback(n, this);
       continue;
    }
    for(var i=n.children.length-1; i>=0; i--) {
      stack.push(n.children[i]);
    }
    depth++; // ???
  }
};

var tree = new Node("ROOT");
tree.addNode("A1").addNode("A2").addNode("A3").addNode("A4");
tree.addNode("B1").addNode("B2").addNode("B3");
tree.addNode("C1").addNode("C2");

Answer 1

您可以使用递归并传递节点和深度作为参数

function Node(code, parent) {
  this.code = code;
  this.children = [];
  this.parentNode = parent;
}
Node.prototype.addNode = function (code) {
  var l = this.children.push(new Node(code, this));
  return this.children[l-1];
};

let result = [], depth = {};
function dfs(node){
    node.depth = 0;
    let stack = [node];
    while(stack.length > 0){
        let root = stack[stack.length - 1];
        let d = root.depth;
        result[d] = result[d] || [];
        result[d].push(root.code);
        stack.length--;
        for(let element of root.children){
            element.depth = root.depth + 1;
            stack.push(element);
        }
    }
}

var tree = new Node("ROOT");
tree.addNode("A1").addNode("A2").addNode("A3").addNode("A4");
tree.addNode("B1").addNode("B2").addNode("B3");
tree.addNode("C1").addNode("C2");

dfs(tree);

console.log(result.reverse());

Answer 2

可以以递归方式编写，这将受益于尾部优化

function reduceTree(tree) {
    const getCode = n => n.code;
    const _reduce = (level = [tree], acc = [[getCode(tree)]], depth = 1) => {
        const children = level.reduce((a, e) => a.concat(e.children), []);
        if (!children.length) {
            return acc;
        }
        acc[depth] = children.map(getCode);
        return _reduce(children, acc, depth + 1);
    };
    return _reduce().reverse();
}

reduceTree(tree);
/*
[
    ["A4"],
    ["A3", "B3"],
    ["A2", "B2", "C2"],
    ["A1", "B1", "C1"],
    ["ROOT"]
]
*/

Answer 3

就是这样 - 感谢 marvel308 指出需要额外的助手 node.depth

function Node(code, parent) {
  this.code = code;
  this.depth = -1;
  this.children = [];
  this.parentNode = parent;
}

Node.prototype.dfs= function() {
  var result = [], stack = [];
  this.depth = 0;
  stack.push(this);
  while(stack.length > 0) {
    var n = stack[stack.length - 1], i = n.depth;
    if(!result[i]) result.push([]);
    result[i].push(n); /* get node or node.code, doesn't matter */
    stack.length--;
    var children = n.children;
    /* keep the original node insertion order, by looping backward */
    for(var j = n.children.length - 1; j >= 0; j--) {
      var c = children[j];
      c.depth = n.depth + 1;
      stack.push(c);
    }
  }
  return result.reverse(); /* return an array */
};

如何收集按深度级别分组的树结构的所有节点？

How to collect all nodes of a Tree structure, grouped by depth level?

javascript

tree

depth-first-search

breadth-first-search