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Discrete subadditive functions as Gomory functions

Published online by Cambridge University Press:  24 October 2008

Frank Rhodes  and
H. Paul Williams
Frank Rhodes
Affiliation:
Department of Mathematics, University of Southampton, Southampton SO9 5NH
H. Paul Williams
Affiliation:
Department of Mathematics, University of Southampton, Southampton SO9 5NH
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Extract

Our aim, in this paper, is to study a class of functions which occurs in pure integer programming, and to investigate conditions under which discrete subadditive functions belong to that class. The inspiration for the paper was the problem of classifying discrete metrics used in pattern recognition, while the methods of proof of the main theorem are those of pure integer programming.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 117 , Issue 3 , May 1995 , pp. 559 - 574
Copyright
Copyright © Cambridge Philosophical Society 1995

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References

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