You can read the popular account of this network analysis of the Game of Thrones in Mathematicians mapped out every “Game of Thrones” relationship to find the main character by Adam Epstein or, you can try Network of Thrones by Andrew Beveridge and Jie Shan.
There are a number of choices you may want to re-visit if you explore the Game of Thrones as a graph/network, not the least of which is expanding the data beyond volume 3, characterizing the type of “relationships” (edges) found between characters and how you would capture the time aspect of the development of the “relationships” you do find.
Great work that will hopefully spur others to similar explorations.