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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 266, Pages 127–139 (Mi tm1873)  

This article is cited in 8 scientific papers (total in 8 papers)

Gal's Conjecture for Nestohedra Corresponding to Complete Bipartite Graphs

N. Yu. Erokhovets

Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia
Full-text PDF (243 kB) Citations (8)
References:
Abstract: Convex polytopes have interested mathematicians since very ancient times. At present, they occupy a central place in convex geometry, combinatorics, and toric topology and demonstrate the harmony and beauty of mathematics. This paper considers the problem of describing the $f$-vectors of simple flag polytopes, that is, simple polytopes in which any set of pairwise intersecting facets has nonempty intersection. We show that for each nestohedron corresponding to a connected building set, the $h$-polynomial is a descent-generating function for some class of permutations; we also prove Gal's conjecture on the nonnegativity of $\gamma$-vectors of flag polytopes for nestohedra constructed over complete bipartite graphs.
Received in February 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 266, Pages 120–132
DOI: https://doi.org/10.1134/S0081543809030079
Bibliographic databases:
UDC: 514.172.45+515.164.8
Language: Russian
Citation: N. Yu. Erokhovets, “Gal's Conjecture for Nestohedra Corresponding to Complete Bipartite Graphs”, Geometry, topology, and mathematical physics. II, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 266, MAIK Nauka/Interperiodica, Moscow, 2009, 127–139; Proc. Steklov Inst. Math., 266 (2009), 120–132
Citation in format AMSBIB
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\paper Gal's Conjecture for Nestohedra Corresponding to Complete Bipartite Graphs
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\bookinfo Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 70th birthday
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\pages 127--139
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  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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