Rationality in map and hypermap enumeration by genus

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Rationality in map and hypermap enumeration by genus. / Zograf, P.; Kazarian, M.

In: St. Petersburg Mathematical Journal, Vol. 29, No. 3, 2018, p. 439-445.

Research output: Contribution to journal › Article › peer-review

Author

Zograf, P. ; Kazarian, M. / Rationality in map and hypermap enumeration by genus. In: St. Petersburg Mathematical Journal. 2018 ; Vol. 29, No. 3. pp. 439-445.

BibTeX

@article{ae4c94827c36452a9b74f31b2a15c154,

title = "Rationality in map and hypermap enumeration by genus",

abstract = "Generating functions for a fixed genus map and hypermap enumeration become rational after a simple explicit change of variables. Their numerators are polynomials with integral coefficients that obey a differential recursion, and the denominators are products of powers of explicit linear functions.",

keywords = "Enumeration of hypermaps (Grothendieck's {"}dessins d'enfants{"}), Enumeration of maps (ribbon graphs)",

author = "P. Zograf and M. Kazarian",

note = "Publisher Copyright: {\textcopyright} 2018 American Mathematical Society.",

year = "2018",

doi = "10.1090/spmj/1501",

language = "English",

volume = "29",

pages = "439--445",

journal = "St. Petersburg Mathematical Journal",

issn = "1061-0022",

publisher = "American Mathematical Society",

number = "3",

}

RIS

TY - JOUR

T1 - Rationality in map and hypermap enumeration by genus

AU - Zograf, P.

AU - Kazarian, M.

PY - 2018

Y1 - 2018

N2 - Generating functions for a fixed genus map and hypermap enumeration become rational after a simple explicit change of variables. Their numerators are polynomials with integral coefficients that obey a differential recursion, and the denominators are products of powers of explicit linear functions.

AB - Generating functions for a fixed genus map and hypermap enumeration become rational after a simple explicit change of variables. Their numerators are polynomials with integral coefficients that obey a differential recursion, and the denominators are products of powers of explicit linear functions.

KW - Enumeration of hypermaps (Grothendieck's "dessins d'enfants")

KW - Enumeration of maps (ribbon graphs)

UR - http://www.scopus.com/inward/record.url?scp=85045566238&partnerID=8YFLogxK

U2 - 10.1090/spmj/1501

DO - 10.1090/spmj/1501

M3 - Article

AN - SCOPUS:85045566238

VL - 29

SP - 439

EP - 445

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 3

ER -

ID: 98425710