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    JCT
    2007
    140views more  JCT 2007»
    Homomorphisms and edge-colourings of planar graphs
    13 years 11 months ago
    Homomorphisms and edge-colourings of planar graphs
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    We conjecture that every planar graph of odd-girth 2k + 1 admits a homomorphism to Cayley graph C(Z2k+1 2 , S2k+1), with S2k+1 being the set of (2k + 1)vectors with exactly two co...
    Reza Naserasr
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    JCT
    2007
    64views more  JCT 2007»
    The roots of the independence polynomial of a clawfree graph
    13 years 11 months ago
    The roots of the independence polynomial of a clawfree graph
    Download  www.math.princeton.edu
    Maria Chudnovsky, Paul D. Seymour
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    JCT
    2007
    122views more  JCT 2007»
    h-Vectors of Gorenstein polytopes
    13 years 11 months ago
    h-Vectors of Gorenstein polytopes
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    We show that the Ehrhart h-vector of an integer Gorenstein polytope with a unimodular triangulation satisfies McMullen’s g-theorem; in particular it is unimodal. This result gen...
    Winfried Bruns, Tim Römer
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    JCT
    2007
    103views more  JCT 2007»
    Geometric drawings of Kn with few crossings
    13 years 11 months ago
    Geometric drawings of Kn with few crossings
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    We give a new upper bound for the rectilinear crossing number cr(n) of the complete geometric graph Kn. We prove that cr(n) ≤ 0.380559 ¡n 4 ¢ + Θ(n3 ) by means of a new const...
    Bernardo M. Ábrego, Silvia Fernández...
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    JCT
    2007
    112views more  JCT 2007»
    On generalized Kneser hypergraph colorings
    13 years 11 months ago
    On generalized Kneser hypergraph colorings
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    In Ziegler (2002), the second author presented a lower bound for the chromatic numbers of hypergraphs KGr sssS, “generalized r-uniform Kneser hypergraphs with intersection multi...
    Carsten E. M. C. Lange, Günter M. Ziegler
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    JCT
    2007
    64views more  JCT 2007»
    Standard tableaux and Klyachko's theorem on Lie representations
    13 years 11 months ago
    Standard tableaux and Klyachko's theorem on Lie representations
    Download  www.amsta.leeds.ac.uk
    Marianne Johnson
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    JCT
    2007
    111views more  JCT 2007»
    Lattice point counts for the Shi arrangement and other affinographic hyperplane arrangements
    13 years 11 months ago
    Lattice point counts for the Shi arrangement and other affinographic hyperplane arrangements
    Download  www.math.binghamton.edu
    Hyperplanes of the form xj = xi + c are called affinographic. For an affinographic hyperplane arrangement in Rn, such as the Shi arrangement, we study the function f(m) that counts...
    David Forge, Thomas Zaslavsky
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    JCT
    2007
    83views more  JCT 2007»
    A finiteness theorem for Markov bases of hierarchical models
    13 years 11 months ago
    A finiteness theorem for Markov bases of hierarchical models
    Download  www.aimath.org
    We show that the complexity of the Markov bases of multidimensional tables stabilizes eventually if a single table dimension is allowed to vary. In particular, if this table dimen...
    Serkan Hosten, Seth Sullivant
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    JCT
    2007
    83views more  JCT 2007»
    On 6-sparse Steiner triple systems
    13 years 11 months ago
    On 6-sparse Steiner triple systems
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    We give the first known examples of 6-sparse Steiner triple systems by constructing 29 such systems in the residue class 7 modulo 12, with orders ranging from 139 to 4447. We the...
    A. D. Forbes, Mike J. Grannell, Terry S. Griggs
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    JCT
    2007
    92views more  JCT 2007»
    Minimal non-orientable matroids in a projective plane
    13 years 11 months ago
    Minimal non-orientable matroids in a projective plane
    Download  www.lri.fr
    : We construct a new family of minimal non-orientable matroids of rank three. Some of these matroids embed in Desarguesian projective planes. This answers a question of Ziegler: fo...
    Rigoberto Flórez, David Forge
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