R – Maintain object references through Serialize/Deserialize

When serializing, I would like to serialize an object only once, then any references to that object should be serialized as a reference to the object. This is because, when I later deserialize the objects, I would like to maintain those references. To illustrate my goal, the code below should output "After Serialization: true".

class Program
{
    static void Main(string[] args)
    {
        MyObject obj = new MyObject() { Name = "obj" };
        MyObject[] myObjs = new MyObject[]
        {
            obj, obj
        };

        Console.WriteLine("Object Refs Equal?");
        Console.WriteLine(string.Format("Before Serialization: {0}",
            object.ReferenceEquals(myObjs[0], myObjs[1])));

        XmlSerializer toXml = new XmlSerializer(typeof(MyObject[]));
        using (FileStream toFile = File.Create(@"C:\foo.xml"))
        {
            toXml.Serialize(toFile, myObjs);
        }

        XmlSerializer fromXml = new XmlSerializer(typeof(MyObject[]));
        using (FileStream fromFile = File.OpenRead(@"C:\foo.xml"))
        {
            MyObject[] deserialized = (MyObject[])fromXml.Deserialize(fromFile);

            Console.WriteLine(string.Format("After Serialization: {0}",
            object.ReferenceEquals(deserialized[0], deserialized[1])));
        }

        Console.ReadLine();
    }
}

[Serializable]
public class MyObject
{
    public string Name { get; set; }
}