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Title:
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Bounds on the coefficients of tension and flow polynomials
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Author:
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Breuer, Felix; Dall, Aaron Matthew
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Other authors:
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Universitat Politècnica de Catalunya. DCCG - Grup de recerca en geometria computacional, combinatoria i discreta |
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Abstract:
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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. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional
-Ehrhart polynomial
-Inside-out polytope
-Convex ear decomposition
-Polytopal complex
-M-vector
-Geometria computacional |
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Rights:
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Document type:
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Article - Published version
Article |
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