arXiv Open Access 2025

Further results on latin squares with disjoint subsquares using rational outline squares

Tara Kemp James Lefevre

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Abstrak

In this paper we consider the problem of finding latin squares with sets of pairwise disjoint subsquares. We develop a new necessary condition on the sizes of the subsquares which incorporates and extends the known conditions. We provide a construction for the case where all but two of the subsquares are the same size, and in this case the condition is sufficient. We obtain these results using symmetric rational outline squares, and additionally provide several new results and extensions to this theory.

Topik & Kata Kunci

math.CO

Penulis (2)

Tara Kemp

James Lefevre

Format Sitasi

APA MLA BibTeX

Kemp, T., Lefevre, J. (2025). Further results on latin squares with disjoint subsquares using rational outline squares. https://arxiv.org/abs/2505.07252

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓