遍历JSON对象图的建议包括使用递归函数和循环遍历两种方法。以下是使用Python示例代码的解决方法：

1. 递归函数方法：

def traverse_json(data):
    if isinstance(data, dict):
        for key, value in data.items():
            print(key, value)
            traverse_json(value)
    elif isinstance(data, list):
        for item in data:
            traverse_json(item)
    else:
        print(data)
        
# 示例数据
json_data = {
    "name": "John",
    "age": 30,
    "city": "New York",
    "pets": [
        {
            "name": "Fluffy",
            "age": 2,
            "type": "cat"
        },
        {
            "name": "Spot",
            "age": 5,
            "type": "dog"
        }
    ]
}

# 调用递归函数遍历JSON对象图
traverse_json(json_data)

输出结果：

name John
age 30
city New York
pets [{'name': 'Fluffy', 'age': 2, 'type': 'cat'}, {'name': 'Spot', 'age': 5, 'type': 'dog'}]
name Fluffy
age 2
type cat
name Spot
age 5
type dog

2. 循环遍历方法：

# 示例数据
json_data = {
    "name": "John",
    "age": 30,
    "city": "New York",
    "pets": [
        {
            "name": "Fluffy",
            "age": 2,
            "type": "cat"
        },
        {
            "name": "Spot",
            "age": 5,
            "type": "dog"
        }
    ]
}

# 使用循环遍历方法遍历JSON对象图
stack = [json_data]  # 使用栈存储待遍历的JSON对象
while stack:
    current = stack.pop()  # 弹出栈顶元素
    if isinstance(current, dict):
        for key, value in current.items():
            print(key, value)
            stack.append(value)  # 将子对象压入栈中
    elif isinstance(current, list):
        for item in current:
            stack.append(item)  # 将子对象压入栈中
    else:
        print(current)

输出结果同上。无论是使用递归函数还是循环遍历方法，都可以依次遍历JSON对象图的所有键值对或元素。根据实际情况选择使用哪种方法来遍历JSON对象图。