English

How to Fit a Tree in a Box

Computational Geometry 2018-09-03 v1

Abstract

We study compact straight-line embeddings of trees. We show that perfect binary trees can be embedded optimally: a tree with nn nodes can be drawn on a n\sqrt n by n\sqrt n grid. We also show that testing whether a given binary tree has an upward embedding with a given combinatorial embedding in a given grid is NP-hard.

Keywords

Cite

@article{arxiv.1808.10572,
  title  = {How to Fit a Tree in a Box},
  author = {Hugo A. Akitaya and Maarten Löffler and Irene Parada},
  journal= {arXiv preprint arXiv:1808.10572},
  year   = {2018}
}

Comments

Appears in the Proceedings of the 26th International Symposium on Graph Drawing and Network Visualization (GD 2018)

R2 v1 2026-06-23T03:49:57.035Z