# Visualizing Extensions of Argumentation Frameworks as Layered Graphs

arXiv: https://arxiv.org/abs/2409.05457 · HTML: https://mlsanity.com/paper/2409.05457/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- Builds on 0 of its 20 references that are in the map.
- First posted on arXiv 9 Sep 2024.

## Built on by (most cited first, 1 of 1)

- [Strength Change Explanations in Quantitative Argumentation](https://mlsanity.com/paper/2603.00008/) (2026)

## Abstract (arXiv)

The visualization of argumentation frameworks (AFs) is crucial for enabling a wide applicability of argumentative tools. However, their visualization is often considered only as an accompanying part of tools for computing semantics and standard graphical representations are used. We introduce a new visualization technique that draws an AF, together with an extension (as part of the input), as a 3-layer graph layout. Our technique supports the user to more easily explore the visualized AF, better understand extensions, and verify algorithms for computing semantics. To optimize the visual clarity and aesthetics of this layout, we propose to minimize edge crossings in our 3-layer drawing. We do so by an exact ILP-based approach, but also propose a fast heuristic pipeline. Via a quantitative evaluation, we show that the heuristic is feasible even for large instances, while producing at most twice as many crossings as an optimal drawing in most cases.