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Izvestiya: Mathematics, 2011, Volume 75, Issue 6, Pages 1107–1133
DOI: https://doi.org/10.1070/IM2011v075n06ABEH002566
(Mi im4732)
 

This article is cited in 13 scientific papers (total in 14 papers)

Sharp upper and lower bounds for nestohedra

V. M. Buchstabera, V. D. Volodinb

a Steklov Mathematical Institute, Russian Academy of Sciences
b M. V. Lomonosov Moscow State University
References:
Abstract: We obtain sharp upper and lower bounds for the coefficients of the enumerative polynomials of all flag nestohedra as well as for certain important subclasses including graph-associahedra. Proofs are based on an original construction of sequences of polytopes.
Keywords: convex polytope, face vector, flag nestohedron, graph-associahedron, Gal's conjecture.
Received: 17.08.2010
Revised: 09.03.2011
Bibliographic databases:
Document Type: Article
UDC: 515.164.8
MSC: 05E45, 14M25, 52B05
Language: English
Original paper language: Russian
Citation: V. M. Buchstaber, V. D. Volodin, “Sharp upper and lower bounds for nestohedra”, Izv. Math., 75:6 (2011), 1107–1133
Citation in format AMSBIB
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\by V.~M.~Buchstaber, V.~D.~Volodin
\paper Sharp upper and lower bounds for nestohedra
\jour Izv. Math.
\yr 2011
\vol 75
\issue 6
\pages 1107--1133
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Linking options:
  • https://www.mathnet.ru/eng/im4732
  • https://doi.org/10.1070/IM2011v075n06ABEH002566
  • https://www.mathnet.ru/eng/im/v75/i6/p17
  • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:873
    Russian version PDF:275
    English version PDF:40
    References:92
    First page:25
     
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