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    JCT
    2007
    94views more  JCT 2007»
    A zero-free interval for flow polynomials of cubic graphs
    13 years 11 months ago
    A zero-free interval for flow polynomials of cubic graphs
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    Let P(G,t) and F(G,t) denote the chromatic and flow polynomials of a graph G. D.R. Woodall has shown that, if G is a plane triangulation, then the only zeros of P(G,t) in (−∞...
    Bill Jackson
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    JCT
    2007
    85views more  JCT 2007»
    Separating systems and oriented graphs of diameter two
    13 years 11 months ago
    Separating systems and oriented graphs of diameter two
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    We prove results on the size of weakly and strongly separating set systems and matrices, and on cross-intersecting systems. As a consequence, we improve on a result of Katona and ...
    Béla Bollobás, Alex D. Scott
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    JCT
    2007
    108views more  JCT 2007»
    The cover time of the preferential attachment graph
    13 years 11 months ago
    The cover time of the preferential attachment graph
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    The preferential attachment graph Gm(n) is a random graph formed by adding a new vertex at each time step, with m edges which point to vertices selected at random with probability...
    Colin Cooper, Alan M. Frieze
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    JCT
    2007
    64views more  JCT 2007»
    Distance-regular Cayley graphs on dihedral groups
    13 years 11 months ago
    Distance-regular Cayley graphs on dihedral groups
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    Stefko Miklavic, Primoz Potocnik
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    JCT
    2007
    107views more  JCT 2007»
    Vertex-minors, monadic second-order logic, and a conjecture by Seese
    13 years 11 months ago
    Vertex-minors, monadic second-order logic, and a conjecture by Seese
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    We prove that one can express the vertex-minor relation on finite undirected graphs by formulas of monadic second-order logic (with no edge set quantification) extended with a p...
    Bruno Courcelle, Sang-il Oum
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    JCT
    2007
    68views more  JCT 2007»
    Testing branch-width
    13 years 11 months ago
    Testing branch-width
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    Sang-il Oum, Paul D. Seymour
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    JCT
    2007
    67views more  JCT 2007»
    Extreme eigenvalues of nonregular graphs
    13 years 11 months ago
    Extreme eigenvalues of nonregular graphs
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    Sebastian M. Cioaba, David A. Gregory, Vladimir Ni...
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    JCT
    2007
    84views more  JCT 2007»
    Universal graphs with a forbidden subtree
    13 years 11 months ago
    Universal graphs with a forbidden subtree
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    Gregory L. Cherlin, Saharon Shelah
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    JCT
    2007
    93views more  JCT 2007»
    The circular chromatic index of graphs of high girth
    13 years 11 months ago
    The circular chromatic index of graphs of high girth
    Download  www.math.nsysu.edu.tw
    We show that for each ε > 0 and each integer ∆ ≥ 1, there exists a number g such that for any graph G of maximum degree ∆ and girth at least g, the circular chromatic in...
    Tomás Kaiser, Daniel Král, Riste Skr...
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    JCT
    2007
    62views more  JCT 2007»
    Integer and fractional packings of hypergraphs
    13 years 11 months ago
    Integer and fractional packings of hypergraphs
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    Vojtech Rödl, Mathias Schacht, Mark H. Sigger...
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