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    COMBINATORICS
    2006
    141views more  COMBINATORICS 2006»
    Binary Words Containing Infinitely Many Overlaps
    13 years 11 months ago
    Binary Words Containing Infinitely Many Overlaps
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    We characterize the squares occurring in infinite overlap-free binary words and construct various power-free binary words containing infinitely many overlaps.
    James D. Currie, Narad Rampersad, Jeffrey Shallit
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    COMBINATORICS
    2006
    107views more  COMBINATORICS 2006»
    A Note on the Number of Hamiltonian Paths in Strong Tournaments
    13 years 11 months ago
    A Note on the Number of Hamiltonian Paths in Strong Tournaments
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    We prove that the minimum number of distinct hamiltonian paths in a strong tournament of order n is 5 n-1 3 . A known construction shows this number is best possible when n 1 mod...
    Arthur H. Busch
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    COMBINATORICS
    2006
    107views more  COMBINATORICS 2006»
    Covering Codes for Hats-on-a-line
    13 years 11 months ago
    Covering Codes for Hats-on-a-line
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    Sarang Aravamuthan, Sachin Lodha
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    COMBINATORICS
    2006
    290views more  COMBINATORICS 2006»
    On the Limiting Distribution for the Length of the Longest Alternating Sequence in a Random Permutation
    13 years 11 months ago
    On the Limiting Distribution for the Length of the Longest Alternating Sequence in a Random Permutation
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    Harold Widom
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    COMBINATORICS
    2006
    98views more  COMBINATORICS 2006»
    Restricted Walks in Regular Trees
    13 years 11 months ago
    Restricted Walks in Regular Trees
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    Let T be the Cayley graph of a finitely generated free group F. Given two vertices in T consider all the walks of a given length between these vertices that at a certain time must...
    Laura Ciobanu, Sasa Radomirovic
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    COMBINATORICS
    2006
    153views more  COMBINATORICS 2006»
    Combinatorics of the Free Baxter Algebra
    13 years 11 months ago
    Combinatorics of the Free Baxter Algebra
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    Marcelo Aguiar, Walter Moreira
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    COMBINATORICS
    2006
    101views more  COMBINATORICS 2006»
    Optimal Penney Ante Strategy via Correlation Polynomial Identities
    13 years 11 months ago
    Optimal Penney Ante Strategy via Correlation Polynomial Identities
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    In the game of Penney Ante two players take turns publicly selecting two distinct words of length n using letters from an alphabet of size q. They roll a fair q sided die having ...
    Daniel Felix
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    COMBINATORICS
    2006
    158views more  COMBINATORICS 2006»
    Reduced Canonical Forms of Stoppers
    13 years 11 months ago
    Reduced Canonical Forms of Stoppers
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    The reduced canonical form of a loopfree game G is the simplest game infinitesimally close to G. Reduced canonical forms were introduced by Calistrate, and Grossman and Siegel pro...
    Aaron N. Siegel
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    COMBINATORICS
    2006
    95views more  COMBINATORICS 2006»
    Nilpotent Singer Groups
    13 years 11 months ago
    Nilpotent Singer Groups
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    Let N be a nilpotent group normal in a group G. Suppose that G acts transitively upon the points of a finite non-Desarguesian projective plane P. We prove that, if P has square or...
    Nick Gill
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    COMBINATORICS
    2006
    286views more  COMBINATORICS 2006»
    On a Balanced Property of Derangements
    13 years 11 months ago
    On a Balanced Property of Derangements
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    Miklós Bóna
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