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Grafos e redes sociais: relato de uma experiência didático-prática
(Universidade Federal do Espírito Santo, 2025-08-15) Carneiro, Daniel Caxias; Valentim, Fábio Júlio; https://orcid.org/0000-0003-2405-7696; http://lattes.cnpq.br/8745134398831488; https://orcid.org/:0009-0002-0149-4316; http://lattes.cnpq.br/4057975076713924; Gonçalves Júnior, Etereldes ; https://orcid.org/0000-0002-7035-1792; http://lattes.cnpq.br/1967221536722003; Silva, Pedro Mattos; https://orcid.org/0000-0001-6239-1316; https://buscatextual.cnpq.br/
This dissertation presents an exploratory approach to the application of Graph Theory to the analysis of social networks in a school environment. Based on data collected through a sociometric questionnaire administered to four high school classes, different graphs were constructed to represent relationships of leadership, dedication, collaboration in the classroom, and preferences for group work. Using centrality metrics such as PageRank and betweenness, the study investigates interaction patterns among students, relating these findings to the formal elections of class representatives. Additionally, the concept of the Erdős number is adapted to the school context. The results reveal relevant insights into the social structure of the classes and offer teachers quantitative tools to better understand and optimize collaborative dynamics.