To create a family tree going back to your great great grandparents, you would need to include the following relationships as edges in your graph:

1. Parent-child: This edge connects a parent vertex to a child vertex and represents the biological relationship between a parent and their child.

2. Spouse: This edge connects two vertices representing a married couple.

3. Sibling: This edge connects two vertices representing siblings who share the same parents.

4. Grandparent-grandchild: This edge connects a grandparent vertex to a grandchild vertex and represents the relationship between a grandparent and their grandchild.

5. Uncle/Aunt-Niece/Nephew: This edge connects an aunt or uncle vertex to a niece or nephew vertex and represents the relationship between an aunt or uncle and their niece or nephew.

6. Cousin: This edge connects two vertices representing first cousins who share the same grandparent.

You can continue this process of adding relationships, such as great-grandparent-great-grandchild, second cousin, and so on, until you have included all of the relationships that you want to include in your family tree. The important thing is to ensure that the relationships are modeled accurately and consistently, so that the family tree accurately reflects the relationships between individuals.
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