In this paper we present SapientIAGraph, a knowledge graph (KG) designed to analyze the organization of university degree programs, with a focus on Sapienza University of Rome. The proposed KG is automatically built using a specialized web scraper. It extracts and semantically annotates institutional data published on the Sapienza website. We also make the resulting knowledge graph available under an open license, and in multiple formats. Moreover, we present the results of an experimental analysis to highlight the possible applications of SapientIAGraph. By leveraging the Jaccard index and thanks to the semantic information about module subject areas, we have been able to automatically cluster all degree programs in our graph into two groups, STEM (Science, Technology, Engineering, and Mathematics) and non-STEM, with some additional interdisciplinary programs acting as bridges. The results suggest the potential of KGs for comparative and structural analysis of academic offerings and can be generalized to other universities, provided that they are modeled using KGs.