arXiv Open Access 2022

Minimal-Perimeter Lattice Animals and the Constant-Isomer Conjecture

Gill Barequet Gil Ben-Shachar

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Abstrak

We consider minimal-perimeter lattice animals, providing a set of conditions which are sufficient for a lattice to have the property that inflating all minimal-perimeter animals of a certain size yields (without repetitions) all minimal-perimeter animals of a new, larger size. We demonstrate this result on the two-dimensional square and hexagonal lattices. In addition, we characterize the sizes of minimal-perimeter animals on these lattices that are not created by inflating members of another set of minimal-perimeter animals.

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cs.CG math.CO

Penulis (2)

Gill Barequet

Gil Ben-Shachar

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Barequet, G., Ben-Shachar, G. (2022). Minimal-Perimeter Lattice Animals and the Constant-Isomer Conjecture. https://arxiv.org/abs/2205.07025

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Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓