Python: Recursively goes through list of dictionaries and prints it's parent - children

List of Dictionaries | .py

tree = [
    {
        "parent" : "Chris",
        "children" : [
            {
                "parent" : "Doug",
                "children" : []
            },
            {
                "parent" : "Michelle",
                "children" : [
                    {
                        "parent" : "Susan",
                        "children" : []
                    }
                ]
            }
        ]
    },
    {
        "parent" : "Laura",
        "children" : [
            {
                "parent" : "Michael",
                "children" : []
            }
        ]
    }
]

def add_menu_item(branch):
    parent = branch["parent"]
    print parent

    for c in branch["children"]:
        add_menu_item(c)

def build_sub_menu(tree):
    for branch in tree:
        add_menu_item(branch)

build_sub_menu(tree)