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pro vyhledávání: '"Ian P. Goulden"'
Combinatorial and Algebraic Enumeration: a survey of the work of Ian P. Goulden and David M. Jackson
In this survey we discuss some of the significant contributions of Ian Goulden and David Jackson in the areas of classical enumeration, symmetric functions, factorizations of permutations, and algebraic foundations of quantum field theory. Through th
Externí odkaz:
http://arxiv.org/abs/2209.10075
Akademický článek
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Autor:
Whitehead,, Earl Glen
Publikováno v:
SIAM Review, 1984 Oct 01. 26(4), 599-599.
Externí odkaz:
https://www.jstor.org/stable/2030999
Autor:
Gessel, Ira
Publikováno v:
Bull. Amer. Math. Soc. (N.S.) 12, no. 2 (1985), 297-301
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=project_eucl::21a80e01213825a3c44e0ccf9df8fa71
http://projecteuclid.org/euclid.bams/1183552545
http://projecteuclid.org/euclid.bams/1183552545
Autor:
Pavel Shuldiner, Ian P. Goulden
Publikováno v:
Discrete Mathematics. 341:1210-1214
In a pair of recent papers, Andrews, Fraenkel and Sellers provide a complete characterization for the number of m -ary partitions modulo m , with and without gaps. In this paper we extend these results to the case of coloured m -ary partitions, with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::13fa5d799734fbbef2d3d637191a54c9
https://doi.org/10.1016/j.disc.2018.01.017
https://doi.org/10.1016/j.disc.2018.01.017
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:
Jr. Earl Glen Whitehead
Publikováno v:
SIAM Review. 26:599-599
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d2a9a48e0dc75ce4184c1072351637cc
https://doi.org/10.1137/1026127
https://doi.org/10.1137/1026127
Publikováno v:
Annals of Combinatorics. 21:73-81
Monotone Hurwitz numbers were introduced by the authors as a combinatorially natural desymmetrization of the Hurwitz numbers studied in enumerative algebraic geometry. Over the course of several papers, we developed the structural theory of monotone
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f9e9b049178bed50511e7548e445e3d
https://doi.org/10.1007/s00026-017-0341-5
https://doi.org/10.1007/s00026-017-0341-5
We consider closed meandric systems, and their equivalent description in terms of the Hasse diagrams of the lattices of non-crossing partitions $NC(n)$. In this equivalent description, the number of components of a random meandric system of order $n$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0283188657a208d93a3b19c24a6af1dd
http://arxiv.org/abs/1708.05188
http://arxiv.org/abs/1708.05188
Publikováno v:
Journal of Combinatorics
Journal of Combinatorics, International Press, 2014, 5 (2), pp.245-269. ⟨10.4310/JOC.2014.v5.n2.a6⟩
Journal of Combinatorics, International Press, 2014, 5 (2), pp.245-269. ⟨10.4310/JOC.2014.v5.n2.a6⟩
A number of hook formulas and hook summation formulas have previously appeared, involving various classes of trees. One of these classes of trees is rooted trees with labelled vertices, in which the labels increase along every chain from the root ver
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0584fd4f8d04d17847e82788ce75a1ab
https://doi.org/10.4310/joc.2014.v5.n2.a6
https://doi.org/10.4310/joc.2014.v5.n2.a6