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    DM
    1999
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    Basis partitions and Rogers-Ramanujan partitions
    13 years 11 months ago
    Basis partitions and Rogers-Ramanujan partitions
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    Every partition has, for some d, a Durfee square of side d. Every partition with Durfee square of side d gives rise to a "successive rank vector" r = (r1,
    Michael D. Hirschhorn
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    DM
    1999
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    Niemeier lattices and Type II codes over Z4
    13 years 11 months ago
    Niemeier lattices and Type II codes over Z4
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    Alexis Bonnecaze, Philippe Gaborit, Masaaki Harada...
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    DM
    1999
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    Analytic combinatorics of non-crossing configurations
    13 years 11 months ago
    Analytic combinatorics of non-crossing configurations
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    Philippe Flajolet, Marc Noy
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    DM
    1999
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    Forbidden subsequences and Chebyshev polynomials
    13 years 11 months ago
    Forbidden subsequences and Chebyshev polynomials
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    Timothy Chow, Julian West
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    DM
    1999
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    Directed animals, forests and permutations
    13 years 11 months ago
    Directed animals, forests and permutations
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    In this paper, we illustrate a method to enumerate two-dimensional directed animals, with compact sources, on both the square and the triangular lattice. We give a recursive descr...
    Elena Barcucci, Alberto Del Lungo, Elisa Pergola, ...
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    DM
    1999
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    A simple bijection for the regions of the Shi arrangement of hyperplanes
    13 years 11 months ago
    A simple bijection for the regions of the Shi arrangement of hyperplanes
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    Christos A. Athanasiadis, Svante Linusson
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    DM
    1999
    90views more  DM 1999»
    The density of ones in Pascal's rhombus
    13 years 11 months ago
    The density of ones in Pascal's rhombus
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    Pascal's rhombus is a variation of Pascal's triangle in which values are computed as the sum of four terms, rather than two. It is shown that the limiting ratio of the n...
    John L. Goldwasser, William Klostermeyer, Michael ...
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    DM
    1999
    61views more  DM 1999»
    On an equivalence in discrete extremal problems
    13 years 11 months ago
    On an equivalence in discrete extremal problems
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    We introduce some equivalence relations on graphs and posets and prove that they are closed under the cartesian product operation. These relations concern the edge-isoperimetric p...
    Sergei L. Bezrukov
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    DM
    1999
    109views more  DM 1999»
    Hamiltonian powers in threshold and arborescent comparability graphs
    13 years 11 months ago
    Hamiltonian powers in threshold and arborescent comparability graphs
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    We examine powers of Hamiltonian paths and cycles as well as Hamiltonian (power) completion problems in several highly structured graph classes. For threshold graphs we give effic...
    Sam Donnelly, Garth Isaak
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    DM
    1999
    63views more  DM 1999»
    A class of functions and their application in constructing semi-biplanes and association schemes
    13 years 11 months ago
    A class of functions and their application in constructing semi-biplanes and association schemes
    Download  www.math.udel.edu
    We give an alternative proof of the fact that a planar function cannot exist on groups of even order. The argument involved leads us to define a class of functions which we
    Robert S. Coulter, Marie Henderson
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