Reconstruction of small graphs and digraphs
Combinatorics
2022-01-04 v4
Abstract
We describe computer searches that prove the graph reconstruction conjecture for graphs with up to 13 vertices and some limited classes on larger sizes. We also investigate the reconstructibility of tournaments up to 13 vertices, digraphs up to 9 vertices, and posets up to 13 points. In all cases, our results also apply to the set reconstruction problem that uses the isomorph-reduced deck.
Keywords
Cite
@article{arxiv.2102.01942,
title = {Reconstruction of small graphs and digraphs},
author = {Brendan D. McKay},
journal= {arXiv preprint arXiv:2102.01942},
year = {2022}
}
Comments
Previously called "Reconstruction of small graphs and tournaments". Fixed summary error on page 7 for 5 vertices