English

Efficient enumeration of non-isomorphic interval graphs

Combinatorics 2023-06-22 v4 Discrete Mathematics

Abstract

Recently, Yamazaki et al. provided an algorithm that enumerates all non-isomorphic interval graphs on nn vertices with an O(n4)O(n^4) time delay. In this paper, we improve their algorithm and achieve O(n3logn)O(n^3 \log n) time delay. We also extend the catalog of these graphs providing a list of all non-isomorphic interval graphs for all nn up to 1515.

Cite

@article{arxiv.1906.04094,
  title  = {Efficient enumeration of non-isomorphic interval graphs},
  author = {Patryk Mikos},
  journal= {arXiv preprint arXiv:1906.04094},
  year   = {2023}
}
R2 v1 2026-06-23T09:49:04.924Z