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    COMBINATORICS
    1999
    60views more  COMBINATORICS 1999»
    Reconstructing Subsets of Reals
    13 years 11 months ago
    Reconstructing Subsets of Reals
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    A. J. Radcliffe, Alex D. Scott
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    COMBINATORICS
    1999
    61views more  COMBINATORICS 1999»
    A Fibonacci-like Sequence of Composite Numbers
    13 years 11 months ago
    A Fibonacci-like Sequence of Composite Numbers
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    In 1964, Ronald Graham proved that there exist relatively prime natural numbers a and b such that the sequence {An} defined by An = An-1 + An-2 (n 2; A0 = a, A1 = b) contains no ...
    John W. Nicol
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    COMBINATORICS
    1999
    102views more  COMBINATORICS 1999»
    Critical Subgraphs of a Random Graph
    13 years 11 months ago
    Critical Subgraphs of a Random Graph
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    We prove that the threshold for a random graph to have a k-core is equal to the threshold for having a subgraph which meets a necessary condition of Gallai for being k-critical. 1...
    Michael Molloy, Bruce A. Reed
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    COMBINATORICS
    1999
    83views more  COMBINATORICS 1999»
    The Asymptotic Number of Set Partitions with Unequal Block Sizes
    13 years 11 months ago
    The Asymptotic Number of Set Partitions with Unequal Block Sizes
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    Arnold Knopfmacher, Andrew M. Odlyzko, Boris Pitte...
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    COMBINATORICS
    1999
    59views more  COMBINATORICS 1999»
    List Edge-Colorings of Series-Parallel Graphs
    13 years 11 months ago
    List Edge-Colorings of Series-Parallel Graphs
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    Martin Juvan, Bojan Mohar, Robin Thomas
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    COMBINATORICS
    1999
    62views more  COMBINATORICS 1999»
    An infinite Family of Non-embeddable Hadamard Designs
    13 years 11 months ago
    An infinite Family of Non-embeddable Hadamard Designs
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    The parameters 2 - (2 + 2, + 1, ) are those of a residual Hadamard 2 (4 + 3, 2 + 1, ) design. All 2 - (2 + 2, + 1, ) designs with 4 are embeddable. The existence of non-embedd...
    Kirsten Mackenzie-Fleming
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    COMBINATORICS
    1999
    57views more  COMBINATORICS 1999»
    Zero Capacity Region of Multidimensional Run Length Constraints
    13 years 11 months ago
    Zero Capacity Region of Multidimensional Run Length Constraints
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    Hisashi Ito, Akiko Kato, Zsigmond Nagy, Kenneth Ze...
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    COMBINATORICS
    1999
    70views more  COMBINATORICS 1999»
    Derivative Polynomials, Euler Polynomials, and Associated Integer Sequences
    13 years 11 months ago
    Derivative Polynomials, Euler Polynomials, and Associated Integer Sequences
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    Let Pn and Qn be the polynomials obtained by repeated differentiation of the tangent and secant functions respectively. From the exponential generating functions of these polynomia...
    Michael E. Hoffman
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    COMBINATORICS
    1999
    99views more  COMBINATORICS 1999»
    Deformation of Chains via a Local Symmetric Group Action
    13 years 11 months ago
    Deformation of Chains via a Local Symmetric Group Action
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    A symmetric group action on the maximal chains in a finite, ranked poset is local if the adjacent transpositions act in such a way that (i, i + 1) sends each maximal chain either ...
    Patricia Hersh
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    COMBINATORICS
    1999
    70views more  COMBINATORICS 1999»
    Tilings of Diamonds and Hexagons with Defects
    13 years 11 months ago
    Tilings of Diamonds and Hexagons with Defects
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    We show how to count tilings of Aztec diamonds and hexagons with defects using determinants. In several cases these determinants can be evaluated in closed form. In particular, we...
    Harald Helfgott, Ira M. Gessel
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