In modern Japanese houses, there are many cases in which rooms are connected by openings and creating a unique sense of space and depth. We presented a schematization and analyzing method of relationship between multilayered apertures using graph theory. Applying the method to 32 houses, we extracted partial connection relations of nodes and paths, which were named gaze continuity graphs, and created data about the number of each type. It was shown that the characteristics of visual expansiveness in the houses can be effectively grasped by factor analysis and cluster analysis with this data, demonstrating the usefulness of this model.