Graph type expressivity and transformations

Josephine M. Thomas, Silvia Beddar-Wiesing, Alice Moallemy-Oureh, Rüdiger Nather

Abstract: Graphs can have different properties that lead to several graph types and may allow for a varying representation of diverse information. In order to clarify the modeling power of graphs, we introduce a partial order on the most common graph types based on an expressivity relation. The expressivity relation quantifies how many properties a graph type can encode compared to another type. Additionally, we show that all attributed graph types are equally expressive and have the same modeling power.