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On the duality of interaction models

Published online by Cambridge University Press:  24 October 2008

Norman Biggs
Norman Biggs
Affiliation:
Royal Holloway College, University of London
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Abstract

Two kinds of duality arising in studies of interaction models are discussed. The first kind, which has not previously been investigated, is related to algebraic properties of the coefficient ring. The second kind is the well-known geometric duality for planar graphs. The two dualities together lead to a perfectly symmetrical relationship for a general form of partition function.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 80 , Issue 3 , November 1976 , pp. 429 - 436
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

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