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Room squares with holes of sides 3,5, and 7

✍ Scribed by J.H. Dinitz; D.R. Stinson; W.D. Wallis

Publisher: Elsevier Science
Year: 1983
Tongue: English
Weight: 557 KB
Volume: 47
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(83)90092-4

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✦ Synopsis

We investigate Room squares with small holes: missing subsquares of sides 3, 5 or 7. We refer to a Room square of side s missing a subsquare of side t as an (s, t)-incomplete Room square. For any odd t, it has been shown that there is an integer S(t) such that an (s, t)-incomplete Room square exists for all odd s > S(t). In this paper we prove that S(3)< 39, S(5) G 67, and S(7) < 53.

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