Geodesic
Bounds on the coefficients of tension and flow polynomials
Journal of Algebraic Combinatorics, Tome 33 (2011) no. 3, pp. 465-482.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The goal of this article is to obtain bounds on the coefficients of modular and integral flow and tension polynomials of graphs. To this end we use the fact that these polynomials can be realized as Ehrhart polynomials of inside-out polytopes. Inside-out polytopes come with an associated relative polytopal complex and, for a wide class of inside-out polytopes, we show that this complex has a convex ear decomposition. This leads to the desired bounds on the coefficients of these polynomials.
Keywords: keywords Ehrhart polynomial, inside-out polytope, convex ear decomposition, regular subdivision, polytopal complex, $M$-vector 
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     author = {Breuer, Felix and Dall, Aaron},
     title = {Bounds on the coefficients of tension and flow polynomials},
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     number = {3},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2011__33_3_a0/}
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Breuer, Felix; Dall, Aaron. Bounds on the coefficients of tension and flow polynomials. Journal of Algebraic Combinatorics, Tome 33 (2011) no. 3, pp. 465-482. http://geodesic.mathdoc.fr/item/JAC_2011__33_3_a0/