arXiv Open Access 2022

New upper bound for the connective constant for square-lattice self-avoiding walks

Olivier Couronné

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Abstrak

By modifying the automaton used by P{ö}nitz and Tittman [4], and considering loops of length up to 26, we obtain 2.662343 as an upper bound for the connective constant in the lattice Z 2 .

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math.CO

Penulis (1)

Olivier Couronné

Format Sitasi

APA MLA BibTeX

Couronné, O. (2022). New upper bound for the connective constant for square-lattice self-avoiding walks. https://arxiv.org/abs/2211.16146

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Informasi Jurnal

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