以下是一个示例代码，实现了一个阿尔巴特罗斯二叉搜索树（Albatross Binary Search Tree）的数据结构和相关操作。

class Node:
    def __init__(self, key):
        self.key = key
        self.left = None
        self.right = None

class AlbatrossBST:
    def __init__(self):
        self.root = None

    def insert(self, key):
        if self.root is None:
            self.root = Node(key)
        else:
            self._insert_recursive(self.root, key)

    def _insert_recursive(self, node, key):
        if key < node.key:
            if node.left is None:
                node.left = Node(key)
            else:
                self._insert_recursive(node.left, key)
        elif key > node.key:
            if node.right is None:
                node.right = Node(key)
            else:
                self._insert_recursive(node.right, key)

    def search(self, key):
        return self._search_recursive(self.root, key)

    def _search_recursive(self, node, key):
        if node is None or node.key == key:
            return node
        if key < node.key:
            return self._search_recursive(node.left, key)
        return self._search_recursive(node.right, key)

    def delete(self, key):
        self.root = self._delete_recursive(self.root, key)

    def _delete_recursive(self, root, key):
        if root is None:
            return root

        if key < root.key:
            root.left = self._delete_recursive(root.left, key)
        elif key > root.key:
            root.right = self._delete_recursive(root.right, key)
        else:
            if root.left is None:
                return root.right
            elif root.right is None:
                return root.left
            root.key = self._min_value(root.right)
            root.right = self._delete_recursive(root.right, root.key)
        return root

    def _min_value(self, node):
        current = node
        while current.left is not None:
            current = current.left
        return current.key

    def inorder_traversal(self):
        self._inorder_recursive(self.root)

    def _inorder_recursive(self, node):
        if node is not None:
            self._inorder_recursive(node.left)
            print(node.key)
            self._inorder_recursive(node.right)

该示例代码实现了一个基本的阿尔巴特罗斯二叉搜索树，并提供了插入、搜索、删除和中序遍历等常见操作。你可以根据需要进行修改和扩展。