Six Methods for Transforming Layered Hypergraphs to Apply Layered Graph Layout Algorithms
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Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
Hypergraphs are a generalization of graphs in which edges (hyperedges) can connect more than two vertices-as opposed to ordinary graphs where edges involve only two vertices. Hypergraphs are a fairly common data structure but there is little consensus on how to visualize them. To optimize a hypergraph drawing for readability, we need a layout algorithm. Common graph layout algorithms only consider ordinary graphs and do not take hyperedges into account. We focus on layered hypergraphs, a particular class of hypergraphs that, like layered graphs, assigns every vertex to a layer, and the vertices in a layer are drawn aligned on a linear axis with the axes arranged in parallel. In this paper, we propose a general method to apply layered graph layout algorithms to layered hypergraphs. We introduce six different transformations for layered hypergraphs. The choice of transformation affects the subsequent graph layout algorithm in terms of computational performance and readability of the results. Thus, we perform a comparative evaluation of these transformations in terms of number of crossings, edge length, and impact on performance. We also provide two case studies showing how our transformations can be applied to real-life use cases.
Description
CCS Concepts: Human-centered computing --> Graph drawings; Visualization theory, concepts and paradigms
@article{10.1111:cgf.14538,
journal = {Computer Graphics Forum},
title = {{Six Methods for Transforming Layered Hypergraphs to Apply Layered Graph Layout Algorithms}},
author = {Bartolomeo, Sara Di and Pister, Alexis and Buono, Paolo and Plaisant, Catherine and Dunne, Cody and Fekete, Jean-Daniel},
year = {2022},
publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/cgf.14538}
}