Transforming planar graph drawings while maintaining height

TL;DR

This paper demonstrates how various styles of planar graph drawings can be transformed into each other without altering their height, enabling flexible visualization options while preserving layout dimensions.

Contribution

It introduces transformations between different planar graph drawing styles that maintain height, expanding visualization techniques without size distortion.

Findings

Transformations preserve height across drawing styles

Applications include improved visualization flexibility

Maintains planarity during style conversions

Abstract

There are numerous styles of planar graph drawings, notably straight-line drawings, poly-line drawings, orthogonal graph drawings and visibility representations. In this note, we show that many of these drawings can be transformed from one style to another without changing the height of the drawing. We then give some applications of these transformations.