Using the algebra of hypergraph for reconstruction phylogenetic trees

In this paper, we will construct phylogenetic trees by using the algebra of hypergraph through Neighbor Joining Algorithm. Directed hypergraph can represent metabolic networks M(X,), where X is the set of metabolites and is the set of chemistry reactions. Metabolic network datas are obtained from citric-acid cycle of microorganism of 3 classes, which are 4 Archea, 11 Bacteria and 1 Eukaryote. Moreover, the result will be compared to the phylogenetic tree based on nucleotide sequences of 16s rRNA Gene of the same microorganisms.