most citedHaruspicy 3: The directed bond-animal generating function is not D-finite

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math.CO2004★ 1 cited

Haruspicy 3: The directed bond-animal generating function is not D-finite

Andrew Rechnitzer

While directed site-animals have been solved on several lattices, directed bond-animals remain unsolved on any non-trivial lattice. In this paper we demonstrate that the anisotropi…

math.CO2004

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

Andrew Rechnitzer

We 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 generalise…