Modelagem de dados reais através do estudo de hipergrafos

Abstract

The representation of systems using graphs is widely used, but suffered from the limitation of being able to represent only pairwise systems. The development of hypergraph theory aims to break this limitation by bringing more possibilities to graph science. I developed the initial graphs concepts and then covered useful definitions for hypergraphs such as incidence matrix, walks, paths, and cycles. We applied the concepts of hypergraphs in a database related to Premier League games to find the champion visually, which teams did well or badly. We also assembled the championship table from the incidence matrix, this last step is possible due to the wise choice of who are nodes and hyperedges. In Appendix A I showed a little about the library in Python Hypernetx, this was the library used to generate the hypergraphics exposed in this monograph.