深度优先遍历和广度优先遍历

Posted 2021-03-11 bigman-bugman

深度优先遍历(Depth First Search)：

自顶点起， 往下一个邻近点走，一直走，走不动了，退回一部。这样反复；

/*深度优先遍历三种方式*/
let deepTraversal1 = (node, nodeList = []) => {
  if (node !== null) {
    nodeList.push(node)
    let children = node.children
    for (let i = 0; i < children.length; i++) {
      deepTraversal1(children[i], nodeList)
    }
  }
  return nodeList
}
let deepTraversal2 = (node) => {
    let nodes = []
    if (node !== null) {
      nodes.push(node)
      let children = node.children
      for (let i = 0; i < children.length; i++) {
        nodes = nodes.concat(deepTraversal2(children[i]))
      }
    }
    return nodes
  }
// 非递归
let deepTraversal3 = (node) => {
  let stack = []
  let nodes = []
  if (node) {
    // 推入当前处理的node
    stack.push(node)
    while (stack.length) {
      let item = stack.pop()
      let children = item.children
      nodes.push(item)
      // node = [] stack = [parent]
      // node = [parent] stack = [child3,child2,child1]
      // node = [parent, child1] stack = [child3,child2,child1-2,child1-1]
      // node = [parent, child1-1] stack = [child3,child2,child1-2]
      for (let i = children.length - 1; i >= 0; i--) {
        stack.push(children[i])
      }
    }
  }
  return nodes
}

 倒序插入栈结构数据中   3 2 1，取出1， 然后放入 6 5 4，反复；

广度优先遍历(Breadth First Search)：

自顶点起，往所有的邻近点走，走完一圈之后，再走第二圈。这样反复；

let widthTraversal2 = (node) => {
  let nodes = []
  let stack = []
  if (node) {
    stack.push(node)
    while (stack.length) {
      let item = stack.shift()
      let children = item.children
      nodes.push(item)
        // 队列，先进先出
        // nodes = [] stack = [parent]
        // nodes = [parent] stack = [child1,child2,child3]
        // nodes = [parent, child1] stack = [child2,child3,child1-1,child1-2]
        // nodes = [parent,child1,child2]
      for (let i = 0; i < children.length; i++) {
        stack.push(children[i])
      }
    }
  }
  return nodes
}

　　队列结构，正序插入，1 2 3，取出1， 然后插入 4 5 6，反复