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    COMBINATORICS
    2004
    112views more  COMBINATORICS 2004»
    On a Combinatorial Problem of Asmus Schmidt
    13 years 11 months ago
    On a Combinatorial Problem of Asmus Schmidt
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    For any integer r 2, define a sequence of numbers {c (r) k }k=0,1,..., independent of the parameter n, by n k=0 n k r n + k k r = n k=0 n k n + k k c (r) k , n = 0, 1, 2, . . . ....
    W. Zudilin
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    COMBINATORICS
    2004
    103views more  COMBINATORICS 2004»
    On the Counting of Fully Packed Loop Configurations: Some New Conjectures
    13 years 11 months ago
    On the Counting of Fully Packed Loop Configurations: Some New Conjectures
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    New conjectures are proposed on the numbers of FPL configurations pertaining to certain types of link patterns. Making use of the Razumov and Stroganov Ansatz, these conjectures a...
    Jean-Bernard Zuber
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    COMBINATORICS
    2004
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    Constructive Lower Bounds on Classical Multicolor Ramsey Numbers
    13 years 11 months ago
    Constructive Lower Bounds on Classical Multicolor Ramsey Numbers
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    Xu Xiaodong, Xie Zheng, Geoffrey Exoo, Stanislaw P...
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    COMBINATORICS
    2004
    56views more  COMBINATORICS 2004»
    On the q-Analogue of the Sum of Cubes
    13 years 11 months ago
    On the q-Analogue of the Sum of Cubes
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    S. Ole Warnaar
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    COMBINATORICS
    2004
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    Classification of Six-Point Metrics
    13 years 11 months ago
    Classification of Six-Point Metrics
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    Bernd Sturmfels, Josephine Yu
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    COMBINATORICS
    2004
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    Convergence in Distribution for Subset Counts Between Random Sets
    13 years 11 months ago
    Convergence in Distribution for Subset Counts Between Random Sets
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    Erdos posed the problem of how many random subsets need to be chosen from a set of n elements, each element appearing in each subset with probability p = 1/2, in order that at lea...
    Dudley Stark
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    COMBINATORICS
    2004
    112views more  COMBINATORICS 2004»
    A Bijective Proof of Borchardt's Identity
    13 years 11 months ago
    A Bijective Proof of Borchardt's Identity
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    We prove Borchardt's identity det 1 xi - yj per 1 xi - yj = det 1 (xi - yj)2 by means of sign-reversing involutions.
    Dan Singer
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    COMBINATORICS
    2004
    94views more  COMBINATORICS 2004»
    Bijections and Congruences for Generalizations of Partition Identities of Euler and Guy
    13 years 11 months ago
    Bijections and Congruences for Generalizations of Partition Identities of Euler and Guy
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    In 1958, Richard Guy proved that the number of partitions of n into odd parts greater than one equals the number of partitions of n into distinct parts with no powers of 2 allowed...
    James A. Sellers, Andrew V. Sills, Gary L. Mullen
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    COMBINATORICS
    2004
    82views more  COMBINATORICS 2004»
    Decomposing Infinite 2-Connected Graphs into 3-Connected Components
    13 years 11 months ago
    Decomposing Infinite 2-Connected Graphs into 3-Connected Components
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    In the 1960's, Tutte presented a decomposition of a 2-connected finite graph into 3-connected graphs, cycles and bonds. This decomposition has been used to reduce problems on...
    R. Bruce Richter
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    COMBINATORICS
    2004
    87views more  COMBINATORICS 2004»
    On the Entropy and Letter Frequencies of Ternary Square-Free Words
    13 years 11 months ago
    On the Entropy and Letter Frequencies of Ternary Square-Free Words
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    Christoph Richard, Uwe Grimm
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