Journal of Algebraic Combinatorics

, Volume 33, Issue 3, pp 465–482 | Cite as

Bounds on the coefficients of tension and flow polynomials

  • Felix Breuer
  • Aaron Dall


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.


Ehrhart polynomial Inside-out polytope Convex ear decomposition Regular subdivision Polytopal complex M-vector 


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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Freie Universität BerlinBerlinGermany
  2. 2.Universitat Politècnica de CatalunyaBarcelonaSpain

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