How can Nested Sets be used to efficiently represent hierarchical data in PHP applications?

Nested Sets can be used to efficiently represent hierarchical data in PHP applications by assigning each node in the tree structure two numbers - a left value and a right value. This allows for efficient querying of parent-child relationships and tree traversals. Implementing Nested Sets in PHP involves updating the left and right values of nodes when adding, deleting, or moving nodes within the tree structure.

// Define a class to represent a node in the Nested Sets tree
class Node {
    public $id;
    public $left;
    public $right;
    
    public function __construct($id, $left, $right) {
        $this->id = $id;
        $this->left = $left;
        $this->right = $right;
    }
}

// Function to add a new node to the Nested Sets tree
function addNode($parentId, $newNodeId) {
    // Update left and right values of nodes in the tree
    // Insert new node with calculated left and right values
}

// Function to delete a node from the Nested Sets tree
function deleteNode($nodeId) {
    // Update left and right values of nodes in the tree
    // Remove node and adjust left and right values of remaining nodes
}

// Function to move a node within the Nested Sets tree
function moveNode($nodeId, $newParentId) {
    // Update left and right values of nodes in the tree
    // Move node to new parent and adjust left and right values of affected nodes
}