This fifth issue of the Journal of Interdisciplinary Methodologies and Issues in Science (JIMIS) is dedicated to methods designed for the analysis of graphs and networks, as well as to applied works relying on the analysis of graphs and networks in specific domains. It can be considered as a follow-up of the second issue of JIMIS, which focused on the modeling of social systems through graphs. Like before, it includes strongly interdisciplinary works. In addition, this issue widens the scope of the considered problems and systems, as the focus is not only on social systems anymore.