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  • Hypergraph coloring complexes

     Breuer, Felix; Dall, Aaron Matthew; Kubitzke, Martina
    Discrete mathematics
    Date of publication: 2012-08-28
    Journal article

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  • Puntos y grafos: puentes geométricos (IP04 en CRP Comb. of points sets, ComPoSe,EuroGIGA ESF)

     Claverol Aguas, Merce; Dall, Aaron Matthew; Silveira, Rodrigo Ignacio; Huemer, Clemens; Mora Gine, Mercè; Sacristán Adinolfi, Vera; Hernando Martin, Maria Del Carmen; Seara Ojea, Carlos; Montes Lozano, Antonio; Hurtado Diaz, Fernando Alfredo
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  • Bounds on the coefficients of tension and flow polynomials

     Breuer, Felix; Dall, Aaron Matthew
    Journal of algebraic combinatorics
    Date of publication: 2011-05
    Journal article

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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.

  • PROBLEMAS DE COMBINATORIA Y DE COMPUTACION

     Claverol Aguas, Merce; Hernando Martin, Maria Del Carmen; Montes Lozano, Antonio; Mora Gine, Mercè; Sacristán Adinolfi, Vera; Seara Ojea, Carlos; Trias Pairo, Juan; Huemer, Clemens; Pfeifle, Julian Thoralf; Saumell Mendiola, Maria; Garcia Olaverri, Alfredo Martin; Tejel Altarriba, Francisco Javier; Dall, Aaron Matthew; Hurtado Diaz, Fernando Alfredo
    Participation in a competitive project

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