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    COMBINATORICS
    2006
    114views more  COMBINATORICS 2006»
    Hayman Admissible Functions in Several Variables
    13 years 4 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 4 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 4 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 4 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 4 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 4 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 4 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 4 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 4 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 4 months ago
    Parameter Augmentation for Two Formulas
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    Caihuan Zhang
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