Rationality in map and hypermap enumeration by genus

@article{Kazarian2016RationalityIM,
  title={Rationality in map and hypermap enumeration by genus},
  author={M. Kazarian and P. Zograf},
  journal={arXiv: Combinatorics},
  year={2016}
}
  • M. Kazarian, P. Zograf
  • Published 2016
  • Mathematics
  • arXiv: Combinatorics
  • Generating functions for a fixed genus map and hypermap enumeration become rational after a simple explicit change of variables. Their numerators are polynomials with integer coefficients that obey a differential recursion, and denominators are products of powers of explicit linear functions. 
    4 Citations

    References

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