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An even side analogue of Room squares

✍ Scribed by D. R. Stinson; W. D. Wallis

Publisher
Springer
Year
1984
Tongue
English
Weight
569 KB
Volume
27
Category
Article
ISSN
0001-9054

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πŸ“œ SIMILAR VOLUMES

Room squares with holes of sides 3,5, an
Room squares with holes of sides 3,5, and 7
✍ J.H. Dinitz; D.R. Stinson; W.D. Wallis πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 557 KB

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

An infinite class of generalized room sq
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✍ J.J. Stiffler; I.F. Blake πŸ“‚ Article πŸ“… 1975 πŸ› Elsevier Science 🌐 English βš– 599 KB

A gcntraiized Room sq~re C of otdelr n and degree k is an (L':) x (",I'} array, each ce!P of which -is either empty or contains an unotdered k-tuple of a set k , ISI = n, such that each row and each alumn of the array rzntains each element of S exactly one ar,d 9 contains each unordered k-tulple of