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    COMBINATORICS
    2002
    85views more  COMBINATORICS 2002»
    Sum List Coloring 2*n Arrays
    13 years 11 months ago
    Sum List Coloring 2*n Arrays
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    A graph is f-choosable if for every collection of lists with list sizes specified by f there is a proper coloring using colors from the lists. The sum choice number is the minimum...
    Garth Isaak
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    COMBINATORICS
    2002
    86views more  COMBINATORICS 2002»
    On the Dimer Problem and the Ising Problem in Finite 3-dimensional Lattices
    13 years 11 months ago
    On the Dimer Problem and the Ising Problem in Finite 3-dimensional Lattices
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    We present a new expression for the partition function of the dimer arrangements and the Ising partition function of the 3-dimensional cubic lattice. We use the Pfaffian method. T...
    Martin Loebl
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    COMBINATORICS
    2002
    92views more  COMBINATORICS 2002»
    On the Excluded Minors for Matroids of Branch-Width Three
    13 years 11 months ago
    On the Excluded Minors for Matroids of Branch-Width Three
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    Knowing the excluded minors for a minor-closed matroid property provides a useful alternative characterization of that property. It has been shown in [R. Hall, J. Oxley, C. Semple...
    Petr Hlinený
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    COMBINATORICS
    2002
    64views more  COMBINATORICS 2002»
    The Packing Density of Other Layered Permutations
    13 years 11 months ago
    The Packing Density of Other Layered Permutations
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    Peter A. Hästö
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    COMBINATORICS
    2002
    87views more  COMBINATORICS 2002»
    Kasteleyn Cokernels
    13 years 11 months ago
    Kasteleyn Cokernels
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    We consider Kasteleyn and Kasteleyn-Percus matrices, which arise in enumerating matchings of planar graphs, up to matrix operations on their rows and columns. If such a matrix is ...
    Greg Kuperberg
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    COMBINATORICS
    2002
    65views more  COMBINATORICS 2002»
    Thue-like Sequences and Rainbow Arithmetic Progressions
    13 years 11 months ago
    Thue-like Sequences and Rainbow Arithmetic Progressions
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    A sequence u = u1u2...un is said to be nonrepetitive if no two adjacent blocks of u are exactly the same. For instance, the sequence abcbcba contains a repetition bcbc, while abca...
    Jaroslaw Grytczuk
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    COMBINATORICS
    2002
    71views more  COMBINATORICS 2002»
    A Specht Module Analog for the Rook Monoid
    13 years 11 months ago
    A Specht Module Analog for the Rook Monoid
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    Cheryl Grood
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    COMBINATORICS
    2002
    70views more  COMBINATORICS 2002»
    Set-Systems with Restricted Multiple Intersections
    13 years 11 months ago
    Set-Systems with Restricted Multiple Intersections
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    We give a generalization for the Deza-Frankl-Singhi Theorem in case of multiple intersections. More exactly, we prove, that if H is a set-system, which satisfies that for some k, ...
    Vince Grolmusz
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    COMBINATORICS
    2002
    56views more  COMBINATORICS 2002»
    A Proof of the Two-path Conjecture
    13 years 11 months ago
    A Proof of the Two-path Conjecture
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    Herbert Fleischner, Robert R. Molina, Ken W. Smith...
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    COMBINATORICS
    2002
    69views more  COMBINATORICS 2002»
    A Small Trivalent Graph of Girth 14
    13 years 11 months ago
    A Small Trivalent Graph of Girth 14
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    Geoffrey Exoo
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