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pro vyhledávání: '"Sean R. Carrell"'
Autor:
Ian P. Goulden, Sean R. Carrell
Publikováno v:
Transactions of the American Mathematical Society. 370:5051-5080
The central object of study is a formal power series that we call the content series, a symmetric function involving an arbitrary underlying formal power series $f$ in the contents of the cells in a partition. In previous work we have shown that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e17bd31b9e673af928907ac1c6296e9
https://doi.org/10.1090/tran/7143
https://doi.org/10.1090/tran/7143
Autor:
Guillaume Chapuy, Sean R. Carrell
Publikováno v:
Discrete Mathematics and Theoretical Computer Science
26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)
26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), 2014, Chicago, United States. pp.573-584
26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)
26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), 2014, Chicago, United States. pp.573-584
We establish a simple recurrence formula for the number $Q_g^n$ of rooted orientable maps counted by edges and genus. The formula is a consequence of the KP equation for the generating function of bipartite maps, coupled with a Tutte equation, and it
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85c11d6d48cb1a827dfc844b77feb52c
https://doi.org/10.46298/dmtcs.2424
https://doi.org/10.46298/dmtcs.2424
Autor:
Guillaume Chapuy, Sean R. Carrell
Publikováno v:
Journal of Combinatorial Theory, Series A
Journal of Combinatorial Theory, Series A, Elsevier, 2015, 133, pp.58--75. ⟨10.1016/j.jcta.2015.01.005⟩
Journal of Combinatorial Theory, Series A, Elsevier, 2015, 133, pp.58--75. ⟨10.1016/j.jcta.2015.01.005⟩
We establish a simple recurrence formula for the number $Q_g^n$ of rooted orientable maps counted by edges and genus. We also give a weighted variant for the generating polynomial $Q_g^n(x)$ where $x$ is a parameter taking the number of faces of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6de0857c2a394e0d187f82862fd4923d
