Haruspicy 2: The anisotropic generating function of self-avoiding polygons not D-finite

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dc.creatorRechnitzer, Andrew
dc.date2004-06-23
dc.date2005-04-15
dc.date.accessioned2026-07-07T05:09:29Z
dc.date.available2026-07-07T05:09:29Z
dc.descriptionWe prove that the anisotropic generating function of self-avoiding polygons is not a D-finite function - proving a conjecture of Guttmann and Enting. This result is also generalised to self-avoiding polygons on hypercubic lattices. Using the haruspicy techniques developed in an earlier paper we are also prove the form of the coefficients of the anisotropic generating function, which was first conjectured by Guttmann and Enting.
dc.description28 pages and 15 figures. Accepted for publication in Journal of Combinatorial Theory Series A
dc.identifierhttps://arxiv.org/abs/math/0406450
dc.identifierhttp://arxiv.org/abs/math/0406450
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71645
dc.subjectCombinatorics
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subject05A15, 82B20
dc.titleHaruspicy 2: The anisotropic generating function of self-avoiding polygons not D-finite
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