English

A counterexample to linear relationship between largest common subtrees and smallest common supertrees

Combinatorics 2025-09-17 v1

Abstract

We present a counter-example to the statement that there is a linear reduction in both directionsbetween the largest common subtree and the smallest common supertrees. Moreover, we show that in general, even having of one of them, it is necessery to calculate the other from the linear number of nodes.

Keywords

Cite

@article{arxiv.2509.12360,
  title  = {A counterexample to linear relationship between largest common subtrees and smallest common supertrees},
  author = {Maciej Brzeski},
  journal= {arXiv preprint arXiv:2509.12360},
  year   = {2025}
}
R2 v1 2026-07-01T05:37:44.778Z