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    JCT
    2006
    79views more  JCT 2006»
    A characterization of cocircuit graphs of uniform oriented matroids
    13 years 11 months ago
    A characterization of cocircuit graphs of uniform oriented matroids
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    The cocircuit graph of an oriented matroid is the 1-skeleton of the cellular decomposition induced by the Topological Representation Theorem due to Folkman and Lawrence (1978) [J....
    Juan José Montellano-Ballesteros, Ricardo S...
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    JCT
    2006
    93views more  JCT 2006»
    On the minimal degree implying equality of the largest triangle-free and bipartite subgraphs
    13 years 11 months ago
    On the minimal degree implying equality of the largest triangle-free and bipartite subgraphs
    Download  www.math.ucla.edu
    Erdos posed the problem of finding conditions on a graph G that imply t(G) = b(G), where t(G) is the largest number of edges in a triangle-free subgraph and b(G) is the largest nu...
    József Balogh, Peter Keevash, Benny Sudakov
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    JCT
    2006
    100views more  JCT 2006»
    Approximating clique-width and branch-width
    13 years 11 months ago
    Approximating clique-width and branch-width
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    We construct a polynomial-time algorithm to approximate the branch-width of certain symmetric submodular functions, and give two applications. The first is to graph "clique-wi...
    Sang-il Oum, Paul D. Seymour
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    JCT
    2006
    68views more  JCT 2006»
    An improved bound for the monochromatic cycle partition number
    13 years 11 months ago
    An improved bound for the monochromatic cycle partition number
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    András Gyárfás, Miklós...
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    JCT
    2006
    60views more  JCT 2006»
    Mutually embeddable graphs and the tree alternative conjecture
    13 years 11 months ago
    Mutually embeddable graphs and the tree alternative conjecture
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    Anthony Bonato, Claude Tardif
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    JCT
    2006
    83views more  JCT 2006»
    Construction of asymmetric connectors of depth two
    13 years 11 months ago
    Construction of asymmetric connectors of depth two
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    An (n, N)
    Rudolf Ahlswede, Harout K. Aydinian
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    JCT
    2006
    55views more  JCT 2006»
    A proof of the q, t-square conjecture
    13 years 11 months ago
    A proof of the q, t-square conjecture
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    We prove a combinatorial formula conjectured by Loehr and Warrington for the coefficient of the sign character in (pn). Here denotes the Bergeron-Garsia nabla operator, and pn is a...
    Mahir Can, Nicholas A. Loehr
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    JCT
    2006
    60views more  JCT 2006»
    On the number of rectangulations of a planar point set
    13 years 11 months ago
    On the number of rectangulations of a planar point set
    Download  sci.haifa.ac.il
    We investigate the number of different ways in which a rectangle containing a set of n noncorectilinear points can be partitioned into smaller rectangles by n (non-intersecting) s...
    Eyal Ackerman, Gill Barequet, Ron Y. Pinter
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    JCT
    2006
    49views more  JCT 2006»
    On the integrality of nth roots of generating functions
    13 years 11 months ago
    On the integrality of nth roots of generating functions
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    Nadia Heninger, Eric M. Rains, N. J. A. Sloane
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    JCT
    2006
    45views more  JCT 2006»
    A family of skew Hadamard difference sets
    13 years 11 months ago
    A family of skew Hadamard difference sets
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    Cunsheng Ding, Jin Yuan
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