War pact model of shrinking networks

Autoři: Luka Naglić aff001;  Lovro Šubelj aff002
Působiště autorů: University of Zagreb, Faculty of Science, Zagreb, Croatia aff001;  University of Ljubljana, Faculty of Computer and Information Science, Ljubljana, Slovenia aff002
Vyšlo v časopise: PLoS ONE 14(10)
Kategorie: Research Article
doi: 10.1371/journal.pone.0223480


Many real systems can be described by a set of interacting entities forming a complex network. To some surprise, these have been shown to share a number of structural properties regardless of their type or origin. It is thus of vital importance to design simple and intuitive models that can explain their intrinsic structure and dynamics. These can, for instance, be used to study networks analytically or to construct networks not observed in real life. Most models proposed in the literature are of two types. A model can be either static, where edges are added between a fixed set of nodes according to some predefined rule, or evolving, where the number of nodes or edges increases over time. However, some real networks do not grow but rather shrink, meaning that the number of nodes or edges decreases over time. We here propose a simple model of shrinking networks called the war pact model. We show that networks generated in such a way exhibit common structural properties of real networks. Furthermore, compared to classical models, these resemble international trade, correlates of war, Bitcoin transactions and other networks more closely. Network shrinking may therefore represent a reasonable explanation of the evolution of some networks and greater emphasis should be put on such models in the future.

Klíčová slova:

Clustering coefficients – Community structure – International trade – Network analysis – Random graphs – Scale-free networks – Small world networks – Mesoscopic physics


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