A Note on the Modeling Power of Different Graph Types
Discrete Mathematics
2022-09-08 v2 Computational Complexity
Data Structures and Algorithms
Information Theory
math.IT
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.
Keywords
Cite
@article{arxiv.2109.10708,
title = {A Note on the Modeling Power of Different Graph Types},
author = {Josephine M. Thomas and Silvia Beddar-Wiesing and Alice Moallemy-Oureh and Rüdiger Nather},
journal= {arXiv preprint arXiv:2109.10708},
year = {2022}
}