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    COMBINATORICS
    2007
    74views more  COMBINATORICS 2007»
    Statistics on the Multi-Colored Permutation Groups
    13 years 11 months ago
    Statistics on the Multi-Colored Permutation Groups
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    We define an excedance number for the multi-colored permutation group i.e. the wreath product (Zr1 × · · · × Zrk ) Sn and calculate its multi-distribution with some natural ...
    Eli Bagno, Ayelet Butman, David Garber
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    COMBINATORICS
    2007
    91views more  COMBINATORICS 2007»
    Intersecting Families in the Alternating Group and Direct Product of Symmetric Groups
    13 years 11 months ago
    Intersecting Families in the Alternating Group and Direct Product of Symmetric Groups
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    Let Sn denote the symmetric group on [n] = {1, . . . , n}. A family I ⊆ Sn is intersecting if any two elements of I have at least one common entry. It is known that the only int...
    Cheng Yeaw Ku, Tony W. H. Wong
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    COMBINATORICS
    2007
    55views more  COMBINATORICS 2007»
    Clusters in a Multigraph with Elevated Density
    13 years 11 months ago
    Clusters in a Multigraph with Elevated Density
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    In this paper, we prove that in a multigraph whose density Γ exceeds the maximum vertex degree ∆, the collection of minimal clusters (maximally dense sets of vertices) is cycle...
    Mark K. Goldberg
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    COMBINATORICS
    2007
    67views more  COMBINATORICS 2007»
    Apery's Double Sum is Plain Sailing Indeed
    13 years 11 months ago
    Apery's Double Sum is Plain Sailing Indeed
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    Carsten Schneider
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    COMBINATORICS
    2007
    164views more  COMBINATORICS 2007»
    Longest Alternating Subsequences in Pattern-Restricted Permutations
    13 years 11 months ago
    Longest Alternating Subsequences in Pattern-Restricted Permutations
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    We determine the limiting distributions of the longest alternating subsequence for pattern-restricted permutations in which the pattern is any one of the six patterns of length th...
    Ghassan Firro, Toufik Mansour, Mark C. Wilson
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    COMBINATORICS
    2007
    52views more  COMBINATORICS 2007»
    Unification of the Quintuple and Septuple Product Identities
    13 years 11 months ago
    Unification of the Quintuple and Septuple Product Identities
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    By combining the functional equation method with Jacobi’s triple product identity, we establish a general equation with five free parameters on the modified Jacobi theta functi...
    Wenchang Chu, Qinglun Yan
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    COMBINATORICS
    2007
    88views more  COMBINATORICS 2007»
    On Subsequence Sums of a Zero-sum Free Sequence
    13 years 11 months ago
    On Subsequence Sums of a Zero-sum Free Sequence
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    Fang Sun
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    COMBINATORICS
    2007
    73views more  COMBINATORICS 2007»
    The Skew and Relative Derangements of Type B
    13 years 11 months ago
    The Skew and Relative Derangements of Type B
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    By introducing the notion of relative derangements of type B, also called signed relative derangements, which are defined in terms of signed permutations, we obtain a type B anal...
    William Y. C. Chen, Jessica C. Y. Zhang
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    COMBINATORICS
    2007
    54views more  COMBINATORICS 2007»
    Matroid Automorphisms of the F4 Root System
    13 years 11 months ago
    Matroid Automorphisms of the F4 Root System
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    Let F4 be the root system associated with the 24-cell, and let M(F4) be the simple linear dependence matroid corresponding to this root system. We determine the automorphism group...
    Stephanie Fried, Aydin Gerek, Gary Gordon, Andrija...
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    COMBINATORICS
    2007
    74views more  COMBINATORICS 2007»
    The Spectral Radius and the Maximum Degree of Irregular Graphs
    13 years 11 months ago
    The Spectral Radius and the Maximum Degree of Irregular Graphs
    Download  www.combinatorics.org
    Sebastian M. Cioaba
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