Efficient enumeration of non-isomorphic interval graphs
Discrete mathematics & theoretical computer science, Tome 23 (2021-2022) no. 1.

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Recently, Yamazaki et al. provided an algorithm that enumerates all non-isomorphic interval graphs on $n$ vertices with an $O(n^4)$ time delay. In this paper, we improve their algorithm and achieve $O(n^3 \log n)$ time delay. We also extend the catalog of these graphs providing a list of all non-isomorphic interval graphs for all $n$ up to $15$.
DOI : 10.46298/dmtcs.6164
Classification : 05C30, 05C85
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Mikos, Patryk. Efficient enumeration of non-isomorphic interval graphs. Discrete mathematics & theoretical computer science, Tome 23 (2021-2022) no. 1. doi : 10.46298/dmtcs.6164. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.6164/

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