scholarly journals On the construction of balanced room squares

1999 ◽  
Vol 197-198 ◽  
pp. 53-60
Author(s):  
Ian Anderson
Keyword(s):  
Room Squares

Maximal partial Room squares

2021 ◽  
Author(s):  
Mariusz Meszka ◽  
Alexander Rosa
Keyword(s):  
Room Squares

scholarly journals Some results concerning frames, Room squares, and subsquares

1981 ◽  
Vol 31 (3) ◽  
pp. 376-384 ◽  
Author(s):  
D. R. Stinson
Keyword(s):  
Short Proof ◽  
Room Squares ◽  
Definition Of ◽  
Frame Construction ◽  
General Frames

AbstractFrames have been defined as a certain type of generalization of Room square. Frames have proven useful in the construction of Room squares, in particular, skew Room squares.We generalize the definition of frame and consider the construction of Room squares and skew Room squares using these more general frames.We are able to construct skew Room squares of three previously unknown sides, namely 93, 159, and 237. This reduces the number of unknown sides to four: 69, 87, 95 and 123. Also, using this construction, we are able to give a short proof of the existence of all skew Room squares of (odd) sides exceeding 123.Finally, this frame construction is useful for constructing Room squares with subsquares. We can also construct Room squares “missing” subsquares of sides 3 and 5. The “missing” subsquares of sides 3 and 5 do not exist, so these incomplete Room squares cannot be completed to Room squares.

Positions in Room squares

Combinatorics ◽  
1974 ◽  
pp. 23-26
Author(s):  
R. L. Constable
Keyword(s):  
Room Squares

scholarly journals The spectrum of skew Room squares

1981 ◽  
Vol 31 (4) ◽  
pp. 475-480 ◽  
Author(s):  
D. R. Stinson
Keyword(s):  
Short Proof ◽  
Room Squares

AbstractWe give a short proof that skew Room squares exist for all odd sides s exceeding 5.

A construction method for generalized Room squares

1976 ◽  
Vol 14 (1-2) ◽  
pp. 83-94 ◽  
Author(s):  
I. F. Blake ◽  
J. J. Stiffler
Keyword(s):  
Construction Method ◽  
Room Squares

scholarly journals On nonisomorphic Room squares

1983 ◽  
Vol 89 (1) ◽  
pp. 175-175 ◽  
Author(s):  
J. H. Dinitz ◽  
D. R. Stinson
Keyword(s):  
Room Squares

scholarly journals Construction of Room Squares

1968 ◽  
Vol 39 (5) ◽  
pp. 1540-1548 ◽  
Author(s):  
R. G. Stanton ◽  
R. C. Mullin
Keyword(s):  
Room Squares
Sign in / Sign up

Export Citation Format

Share Document