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\section{Introduction}  Phylogenetic analysis is the study of evolution and relationship relationships  between different species (or taxa), generally computed from biological sequence data. Phylogenetic trees is the most used datatype to conceptualize, visualize and analyze the relationship between evolutoin of different  biological lineages. In fact, they are well suited for describing the evolutionary pathways of different species, as well as being relatively easy to query and study from both computational and mathematical point of view. However, trees are very impractical when it comes to accommodate for reticulated events such as horizontal gene transfer, hybridization and recombination between lineages, thus the need and the motivation for novel methods in order to fill the gap. Phylogenetic networks provide such an alternative. alternative, the topic that was presented by C. Scornavacca being a summary of the most important combinatorial methods.