How create Binding on Property between two classes

How create Binding on Property between two classes

I got a class vertex which implements the INotifyPropertyChanged
interface. So I have for example two different instances of the vertex
class and I need to bind from instance a the weight property to instance b
to the weight property.
public class Vertex : INotifyPropertyChanged
{
[...]
#region Members
<summary>
/// Gets or sets the Weight of the vertex
/// </summary>
public int Weight { get { return weight; } set { weight = value;
NotifyPropertyChanged("Weight"); } }
#region INotifyPropertyChanged
[...]
}
I tried to use System.Windows.Data.Binding to create a binding between
instance a and b but I can't set the binding because there is not
SetBinding Method on the class vertex. So is there a right solution for
this problem?