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On the Gotlieb-Csima Time-Tabling Algorithm

Published online by Cambridge University Press:  20 November 2018

M. A. H. Dempster
M. A. H. Dempster*
Affiliation:
Balliol College, Oxford University
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This paper concerns an algorithm, proposed by C. C. Gotlieb (4) and modified by J. Csima (1; 2), for a recent combinatorial problem whose application includes the construction of school time-tables. Theoretically, the problem is related to systems of distinct subset representatives, the construction of Latin arrays, the colouring of graphs, and flows in networks (1; 2; 3). I t was conjectured by Gotlieb and Csima that if solutions to a given time-table problem existed, i.e. if time-tables incorporating certain pre-assigned meetings existed, their algorithm would find one.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 103 - 119
Copyright
Copyright © Canadian Mathematical Society 1968

References

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