Overlapping latin subsquares and full products

Joshua Montgomery Browning; Petr Vojtechovsky; Ian Murray Wanless

Overlapping latin subsquares and full products

Joshua Montgomery Browning, Petr Vojtechovsky, Ian Murray Wanless

School of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

Abstract

We derive necessary and sufficient conditions for there to exist a latin square of order n containing two subsquares of order a and b that intersect in a subsquare of order c. We also solve the case of two disjoint subsquares.

Original language	English
Pages (from-to)	175 - 184
Number of pages	10
Journal	Commentationes Mathematicae Universitatis Carolinae
Volume	51
Issue number	2
Publication status	Published - 2010

Cite this

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title = "Overlapping latin subsquares and full products",

abstract = "We derive necessary and sufficient conditions for there to exist a latin square of order n containing two subsquares of order a and b that intersect in a subsquare of order c. We also solve the case of two disjoint subsquares.",

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AU - Vojtechovsky, Petr

AU - Wanless, Ian Murray

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UR - http://www.du.edu/media/documents/nsm/mathematics/preprints/m0914.pdf

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JO - Commentationes Mathematicae Universitatis Carolinae

JF - Commentationes Mathematicae Universitatis Carolinae

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Overlapping latin subsquares and full products

Abstract

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