Corpus ID: 35696077

Applied Mathematics and Computation Computing the Tutte polynomial of Archimedean tilings

@inproceedings{Gegndez2014AppliedMA,
  title={Applied Mathematics and Computation Computing the Tutte polynomial of Archimedean tilings},
  author={M. E. Geg{\'u}ndez and D. Garijo and A. M{\'a}rquez and M. P. Revuelta and F. Sagols},
  year={2014}
}

• M. E. Gegúndez, D. Garijo, +2 authors F. Sagols
• Published 2014

We describe an algorithm to compute the Tutte polynomial of large fragments of Archimedean tilings by squares, triangles, hexagons and combinations thereof. Our algorithm improves a well known method for computing the Tutte polynomial of square lattices. We also address the problem of obtaining Tutte polynomial evaluations from the symbolic expressions generated by our algorithm, improving the best known lower bound for the asymptotics of the number of spanning forests, and the lower and upper… Expand

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