The admission and academic leveling processes in public Higher Education Institutions (IES) in Ecuador are currently regulated by various criteria, which has led to countless new developments that have somehow increased the enrollment rates. Dropout of university students in various majors. The objective of this research process was to analyze the results of the “SER ESTUDIANTE” exam applied to high school students from the Sierra regime in 2022 for the formation of academic clusters that allow HEIs to manage the allocation of places and resources in the two processes of admission and university leveling. For this, a cross-sectional quantitative study was proposed in which graph theory and social network analysis were used to verify whether the formation of these clusters could facilitate the segmentation of public university admission and leveling processes. Among the main results obtained, the influence that social network analysis has on the formation of academic clusters and how these can be grouped for admission or university leveling purposes stands out.
This research work focuses on the use of graph theory and social network analysis as a methodological and didactic tool for establishing defensive and offensive strategies in a sport that captivates millions of people worldwide, football. The research paradigm used was quantitative, descriptive, explanatory, and correlational. The study population has been selected by random convenience sampling and is made up of members of the Al-Nassr FC soccer team in which Cristiano Ronaldo plays. One of the main conclusions obtained focuses on the feasibility of using graph theory and social network analysis as part of the establishment of strategies, which could be extrapolated to any soccer team as part of its game dynamics with the purpose of improving the performance of its players