Optimal decomposition of $K_{18}$ and $K_{19}$ into $K_3$ and $K_4$

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Hauptverfasser: Kovář, Petr, Zhang, Yifan
Format: Preprint
Veröffentlicht: 2025
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author Kovář, Petr
Zhang, Yifan
author_facet Kovář, Petr
Zhang, Yifan
contents This article explores a new way to obtain the optimal decomposition of a complete graph of order 18 and 19 into cliques of order 3 and 4.
format Preprint
id arxiv_https___arxiv_org_abs_2507_06745
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Optimal decomposition of $K_{18}$ and $K_{19}$ into $K_3$ and $K_4$
Kovář, Petr
Zhang, Yifan
Combinatorics
05B40, 05C70
This article explores a new way to obtain the optimal decomposition of a complete graph of order 18 and 19 into cliques of order 3 and 4.
title Optimal decomposition of $K_{18}$ and $K_{19}$ into $K_3$ and $K_4$
topic Combinatorics
05B40, 05C70
url https://arxiv.org/abs/2507.06745