php编程--二叉树遍历算法实现

今天使用php来实现二叉树的遍历

创建的二叉树如下图所示

php编程--二叉树遍历算法实现_第1张图片


php代码如下所示:

value . ' ';

            //先把右子树节点入栈,以确保左子树节点先出栈
            if($center_node->child_right != null) array_push($stack, $center_node->child_right);
            if($center_node->child_left != null) array_push($stack, $center_node->child_left);
        }
    }
    //中序遍历:先遍历左子树、然后访问根节点,最后遍历右子树;并且在遍历左右子树的时候。仍然是先遍历左子树,然后访问根节点,最后遍历右子树
    public static function midOrder($root){
        $stack = array();
        $center_node = $root;
        while (!empty($stack) || $center_node != null) {
            while ($center_node != null) {
                array_push($stack, $center_node);
                $center_node = $center_node->child_left;
            }

            $center_node = array_pop($stack);
            echo $center_node->value . ' ';

            $center_node = $center_node->child_right;
        }
    }
    //后序遍历:先遍历左子树,然后遍历右子树,最后访问根节点;同样,在遍历左右子树的时候同样要先遍历左子树,然后遍历右子树,最后访问根节点
    public static function endOrder($root){
        $push_stack = array();
        $visit_stack = array();
        array_push($push_stack, $root);

        while (!empty($push_stack)) {
            $center_node = array_pop($push_stack);
            array_push($visit_stack, $center_node);
            //左子树节点先入$pushstack的栈,确保在$visitstack中先出栈
            if ($center_node->child_left != null) array_push($push_stack, $center_node->child_left);
            if ($center_node->child_right != null) array_push($push_stack, $center_node->child_right);
        }

        while (!empty($visit_stack)) {
            $center_node = array_pop($visit_stack);
            echo $center_node->value . ' ';
        }
    }
}


//创建二叉树
$a = new Node();
$b = new Node();
$c = new Node();
$d = new Node();
$e = new Node();
$f = new Node();
$g = new Node();
$h = new Node();
$i = new Node();

$a->value = 'A';
$b->value = 'B';
$c->value = 'C';
$d->value = 'D';
$e->value = 'E';
$f->value = 'F';
$g->value = 'G';
$h->value = 'H';
$i->value = 'I';

$a->child_left = $b;
$a->child_right = $c;
$b->child_left = $d;
$b->child_right = $g;
$c->child_left = $e;
$c->child_right = $f;
$d->child_left = $h;
$d->child_right = $i;


//前序遍历
Ergodic::preOrder($a);  //结果是:A B D H I G C E F
echo '
'; //中序遍历 Ergodic::midOrder($a); //结果是: H D I B G A E C F echo '
'; //后序遍历 Ergodic::endOrder($a); //结果是: H I D G B E F C A





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