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\section{Introduction}  Phylogenetic analysis is the study of evolution and 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 evolutoin evolution  of different biological lineages. In fact, they trees  are well suited for describing the evolutionary pathways of different species, for them being intuitive  as well asbeing relatively  easy to query and study from both computational and mathematical point of view. However, trees strictly acrylic graphs  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, the alternative. The  topic that was presented by C. Scornavacca being a summary of the most important related  combinatorial methods.