Unrooted non-binary tree-based phylogenetic networks

Phylogenetic networks are a generalization of phylogenetic trees allowing for the representation non-treelike evolutionary events such as hybridization. Typically, have been analyzed based on their ‘level’, i.e. complexity 2-edge-connected components. However, recently question how ‘treelike’ network is has become center attention in various studies. This led to introduction tree-based networks, that can be constructed from tree, called base by adding additional edges. While concept tree-basedness was originally introduced rooted it also considered unrooted networks. In present study, we compare and contrast findings obtained binary non-binary particular, while known up level 4 all tree-based, show case this result only holds 3.