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    COMBINATORICS
    2006
    114views more  COMBINATORICS 2006»
    Hayman Admissible Functions in Several Variables
    13 years 11 months ago
    Hayman Admissible Functions in Several Variables
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    An alternative generalisation of Hayman's concept of admissible functions to functions in several variables is developed and a multivariate asymptotic expansion for the coeff...
    Bernhard Gittenberger, Johannes Mandlburger
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    COMBINATORICS
    2006
    115views more  COMBINATORICS 2006»
    Chains, Subwords, and Fillings: Strong Equivalence of Three Definitions of the Bruhat Order
    13 years 11 months ago
    Chains, Subwords, and Fillings: Strong Equivalence of Three Definitions of the Bruhat Order
    Download  www.math.umb.edu
    Let Sn be the group of permutations of [n] = {1, . . . , n}. The Bruhat order on Sn is a partial order relation, for which there are several equivalent definitions. Three well-kno...
    Catalin Zara
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    COMBINATORICS
    2006
    112views more  COMBINATORICS 2006»
    Latin Squares with Forbidden Entries
    13 years 11 months ago
    Latin Squares with Forbidden Entries
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    An n
    Jonathan Cutler, Lars-Daniel Ohman
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    COMBINATORICS
    2006
    96views more  COMBINATORICS 2006»
    A New Statistic on Linear and Circular r-Mino Arrangements
    13 years 11 months ago
    A New Statistic on Linear and Circular r-Mino Arrangements
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    We introduce a new statistic on linear and circular r-mino arrangements which leads to interesting polynomial generalizations of the r-Fibonacci and r-Lucas sequences. By studying...
    Mark A. Shattuck, Carl G. Wagner
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    COMBINATORICS
    2006
    112views more  COMBINATORICS 2006»
    Shift-Induced Dynamical Systems on Partitions and Compositions
    13 years 11 months ago
    Shift-Induced Dynamical Systems on Partitions and Compositions
    Download  www.combinatorics.org
    The rules of "Bulgarian solitaire" are considered as an operation on the set of partitions to induce a finite dynamical system. We focus on partitions with no preimage u...
    Brian Hopkins, Michael A. Jones
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    COMBINATORICS
    2006
    102views more  COMBINATORICS 2006»
    Discrepancy of Sums of Three Arithmetic Progressions
    13 years 11 months ago
    Discrepancy of Sums of Three Arithmetic Progressions
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    The set system of all arithmetic progressions on [n] is known to have a discrepancy of order n1/4. We investigate the discrepancy for the set system S3 n formed by all sums of thr...
    Ales Prívetivý
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    COMBINATORICS
    2006
    123views more  COMBINATORICS 2006»
    A Matrix Representation of Graphs and its Spectrum as a Graph Invariant
    13 years 11 months ago
    A Matrix Representation of Graphs and its Spectrum as a Graph Invariant
    Download  cs.anu.edu.au
    David Emms, Edwin R. Hancock, Simone Severini, Ric...
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    COMBINATORICS
    2006
    100views more  COMBINATORICS 2006»
    Grid Classes and the Fibonacci Dichotomy for Restricted Permutations
    13 years 11 months ago
    Grid Classes and the Fibonacci Dichotomy for Restricted Permutations
    Download  www.combinatorics.org
    We introduce and characterise grid classes, which are natural generalisations of other well-studied permutation classes. This characterisation allows us to give a new, short proof...
    Sophie Huczynska, Vincent Vatter
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    COMBINATORICS
    2006
    132views more  COMBINATORICS 2006»
    On Computing the Distinguishing Numbers of Trees and Forests
    13 years 11 months ago
    On Computing the Distinguishing Numbers of Trees and Forests
    Download  www.cs.uwm.edu
    Let G be a graph. A vertex labeling of G is distinguishing if the only label-preserving automorphism of G is the identity map. The distinguishing number of G, D(G), is the minimum...
    Christine T. Cheng
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    COMBINATORICS
    2006
    142views more  COMBINATORICS 2006»
    Parameter Augmentation for Two Formulas
    13 years 11 months ago
    Parameter Augmentation for Two Formulas
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    Caihuan Zhang
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