Abstract
It is shown that the question of existence of skew Room squares is solved in all but finitely many cases.
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References
Hanani, H.,The Existence and Construction of Balanced Incomplete Designs, Ann. Math. Statist.32, 361–386 (1961).
Lawless, J. F.,Pairwise Balanced Designs and the Construction of Certain Combinatorial Systems, in Proc. Second Louisiana Conference on Combinatorics, Graph Theory and Computing (Louisiana State Univ., Baton Rouge 1971), 353–366.
Schellenberg, P. J.,On Balanced Room Squares and Complete Balanced Howell Rotations, Aequationes Math.9, 75–90 (1973).
Wallis, W. D.,On the Existence of Room Squares, Aequationes Math.9, 260–266 (1973).
Wallis, W. D.,A Doubling Construction for Room Squares, Discrete Math.3, 397–399 (1972).
Wilson, R. M.,An Existence Theory for Pairwise Balanced Designs, II: The Structure of PBD-closed Sets and the Existence Conjecture, J. Combinatorial Theory Ser. A,13, 246–273 (1972).
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Wallis, W.D. Construction of skew Room squares. Aeq. Math. 11, 111–113 (1974). https://doi.org/10.1007/BF01837738
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DOI: https://doi.org/10.1007/BF01837738