Geodesic
Sharp upper and lower bounds for nestohedra
Izvestiya. Mathematics , Tome 75 (2011) no. 6, pp. 1107-1133

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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
Mots-clés : graph-associahedron, Gal's conjecture. 
@article{IM2_2011_75_6_a1,
     author = {V. M. Buchstaber and V. D. Volodin},
     title = {Sharp upper and lower bounds for nestohedra},
     journal = {Izvestiya. Mathematics },
     pages = {1107--1133},
     publisher = {mathdoc},
     volume = {75},
     number = {6},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2011_75_6_a1/}
}
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V. M. Buchstaber; V. D. Volodin. Sharp upper and lower bounds for nestohedra. Izvestiya. Mathematics , Tome 75 (2011) no. 6, pp. 1107-1133. http://geodesic.mathdoc.fr/item/IM2_2011_75_6_a1/