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On the existence of Room squares of order 4n

โœ Scribed by R. C. Mullin; W. D. Wallis


Publisher
Springer
Year
1971
Tongue
English
Weight
185 KB
Volume
6
Category
Article
ISSN
0001-9054

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## Abstract Suppose that __L__ is a latin square of order __m__ and __P__โ€‰โŠ‘โ€‰__L__ is a partial latin square. If __L__ is the only latin square of order __m__ which contains __P__, and no proper subset of __P__ has this property, then __P__ is a __critical set__ of __L__. The critical set spectrum p

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In this article, we describe some new constructions for Room frames and use them to show the existence of Room frames of types t 4 and t s . Combining the result with those of Dinitz and Stinson leads to the following: the only cases for which the existence of Room frames is undecided are those type