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    JCT
    2006
    92views more  JCT 2006»
    Classification of small (0, 2)-graphs
    13 years 11 months ago
    Classification of small (0, 2)-graphs
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    We find the graphs of valency at most 7 with the property that any two nonadjacent vertices have either 0 or 2 common neighbours. In particular, we find all semibiplanes of block ...
    Andries E. Brouwer
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    JCT
    2006
    35views more  JCT 2006»
    On the classification of all self-dual additive codes over GF(4) of length up to 12
    13 years 11 months ago
    On the classification of all self-dual additive codes over GF(4) of length up to 12
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    Lars Eirik Danielsen, Matthew G. Parker
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    JCT
    2006
    46views more  JCT 2006»
    Combinatorial interpretations of the q-Faulhaber and q-Salié coefficients
    13 years 11 months ago
    Combinatorial interpretations of the q-Faulhaber and q-Salié coefficients
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    Victor J. W. Guo, Martin Rubey, Jiang Zeng
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    JCT
    2006
    109views more  JCT 2006»
    On the combinatorial invariance of Kazhdan-Lusztig polynomials
    13 years 11 months ago
    On the combinatorial invariance of Kazhdan-Lusztig polynomials
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    We prove that the Kazhdan-Lusztig polynomials are combinatorial invariants for intervals up to length 8 in Coxeter groups of type A and up to length 6 in Coxeter groups of type B a...
    Federico Incitti
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    JCT
    2006
    87views more  JCT 2006»
    Construction of bent functions via Niho power functions
    13 years 11 months ago
    Construction of bent functions via Niho power functions
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    A Boolean function with an even number n = 2k of variables is called bent if it is maximally nonlinear. We present here a new construction of bent functions. Boolean functions of ...
    Hans Dobbertin, Gregor Leander, Anne Canteaut, Cla...
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    JCT
    2006
    75views more  JCT 2006»
    New polytopes from products
    13 years 11 months ago
    New polytopes from products
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    We construct a new 2-parameter family Emn, m, n 3, of self-dual 2-simple and 2-simplicial 4-polytopes, with flexible geometric realisations. E44 is the 24-cell. For large m, n the...
    Andreas Paffenholz
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    JCT
    2006
    37views more  JCT 2006»
    An L-system on the small Witt design
    13 years 11 months ago
    An L-system on the small Witt design
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    Norihide Tokushige
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    JCT
    2006
    72views more  JCT 2006»
    Partial flocks of the quadratic cone
    13 years 11 months ago
    Partial flocks of the quadratic cone
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    : We prove that in PG(3, q), q > 19, a partial flock of a quadratic cone with q - planes, can be extended to a unique flock if < 1 4 q.
    Péter Sziklai
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    JCT
    2006
    47views more  JCT 2006»
    A map colour theorem for the union of graphs
    13 years 11 months ago
    A map colour theorem for the union of graphs
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    Michael Stiebitz, Riste Skrekovski
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    JCT
    2006
    72views more  JCT 2006»
    Arboricity and tree-packing in locally finite graphs
    13 years 11 months ago
    Arboricity and tree-packing in locally finite graphs
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    Nash-Williams' arboricity theorem states that a finite graph is the edge-disjoint union of at most k forests if no set of vertices induces more than k( - 1) edges. We prove a...
    Maya Jakobine Stein
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