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Combinatorial applications of an inequality from statistical mechanics

Published online by Cambridge University Press:  24 October 2008

P. D. Seymour  and
D. J. A. Welsh
P. D. Seymour
Affiliation:
University College, Swansea
D. J. A. Welsh
Affiliation:
Merton College, Oxford
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Extract

The main part of this paper shows how an inequality of statistical mechanics has several applications in combinatorial theory.

The inequality (known as the FKG inequality) was derived by Fortuin, Kasteleyn and Ginibre(4) in their work on the statistical mechanics of Ising ferromagnets. We first show how it leads to new properties of log supermodular functions, Bernstein polynomials, and log convex sequences.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 77 , Issue 3 , May 1975 , pp. 485 - 495
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

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