Hybridization plays a crucial role during the evolutionary process of some species. In such cases, phylogenetic trees are insufficient to describe species-level relationships. Phylogenetic networks (also known as admixture graphs in population genetics) are the objects used to represent the evolutionary histories that allow such interactions. The inference of phylogenetic networks from biological data presents many challenges, and methods have been developed under different frameworks and model assumptions to overcome some of these challenges. In this talk, we present a comprehensive overview of existing methods for estimating explicit networks (networks depicting evolutionary history) from biological data. We discuss their distinct model assumptions, framework, hypotheses, and drawbacks.