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A combinatorial problem of T. G. Room

Published online by Cambridge University Press:  26 February 2010

J. W. Archbold
J. W. Archbold
Affiliation:
University College, London, W.C.I.
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Extract

A Room square is an arrangement of the k(2k−1) unordered pairs (ar, as), with r≠s, formed from 2k symbols a0, a1 …, a2k−1 in a square of 2k−1 rows and columns such that in each row and column there appear k pairs (and k−1 blanks) which among them contain all 2k symbols.

Information

Type
Research Article
Information
Mathematika , Volume 7 , Issue 1 , June 1960 , pp. 50 - 55
Copyright
Copyright © University College London 1960

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References

1.Room, T. G., “A new type of magic square”, Math. Gazette, 39 (1955), 307.CrossRefGoogle Scholar
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