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    COMBINATORICA
    2008
    93views more  COMBINATORICA 2008»
    Cycle lengths in sparse graphs
    13 years 5 months ago
    Cycle lengths in sparse graphs
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    Benny Sudakov, Jacques Verstraëte
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    COMBINATORICA
    2008
    92views more  COMBINATORICA 2008»
    A separation theorem in property testing
    13 years 5 months ago
    A separation theorem in property testing
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    Consider the following seemingly rhetorical question: Is it crucial for a property-tester to know the error parameter in advance? Previous papers dealing with various testing prob...
    Noga Alon, Asaf Shapira
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    COMBINATORICA
    2008
    104views more  COMBINATORICA 2008»
    Linearity of grid minors in treewidth with applications through bidimensionality
    13 years 5 months ago
    Linearity of grid minors in treewidth with applications through bidimensionality
    Download  www-math.mit.edu
    We prove that any H-minor-free graph, for a fixed graph H, of treewidth w has an (w)
    Erik D. Demaine, MohammadTaghi Hajiaghayi
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    COMBINATORICA
    2008
    97views more  COMBINATORICA 2008»
    Cyclic orders: Equivalence and duality
    13 years 5 months ago
    Cyclic orders: Equivalence and duality
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    Cyclic orders of graphs and their equivalence have been promoted by Bessy and Thomass
    Pierre Charbit, András Sebö
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    COMBINATORICA
    2008
    95views more  COMBINATORICA 2008»
    Cycles in dense digraphs
    13 years 5 months ago
    Cycles in dense digraphs
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    Maria Chudnovsky, Paul D. Seymour, Blair Sullivan
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    COMBINATORICA
    2008
    62views more  COMBINATORICA 2008»
    The toric ideal of a graphic matroid is generated by quadrics
    13 years 5 months ago
    The toric ideal of a graphic matroid is generated by quadrics
    Download  math.berkeley.edu
    Describing minimal generating sets of toric ideals is a well-studied and difficult problem. Neil White conjectured in 1980 that the toric ideal associated to a matroid is generated...
    Jonah Blasiak
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    COMBINATORICA
    2008
    84views more  COMBINATORICA 2008»
    Parity check matrices and product representations of squares
    13 years 5 months ago
    Parity check matrices and product representations of squares
    Download  www.cims.nyu.edu
    Let NF(n, k, r) denote the maximum number of columns in an n-row matrix with entries in a finite field F in which each column has at most r nonzero entries and every k columns are...
    Assaf Naor, Jacques Verstraëte
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    COMBINATORICA
    2008
    88views more  COMBINATORICA 2008»
    Geometric graphs with no two parallel edges
    13 years 5 months ago
    Geometric graphs with no two parallel edges
    Download  www.math.technion.ac.il
    We give a simple proof for a theorem of Katchalski, Last, and Valtr, asserting that the maximum number of edges in a geometric graph G on n vertices with no pair of parallel edges...
    Rom Pinchasi
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    COMBINATORICA
    2008
    129views more  COMBINATORICA 2008»
    The combinatorial encoding of disjoint convex sets in the plane
    13 years 5 months ago
    The combinatorial encoding of disjoint convex sets in the plane
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    We introduce a new combinatorial object, the double-permutation sequence, and use it to encode a family of mutually disjoint compact convex sets in the plane in a way that capture...
    Jacob E. Goodman, Richard Pollack
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    COMBINATORICA
    2008
    97views more  COMBINATORICA 2008»
    Pfaffian labelings and signs of edge colorings
    13 years 5 months ago
    Pfaffian labelings and signs of edge colorings
    Download  www.math.princeton.edu
    Abstract. We relate signs of edge-colorings (as in classical Penrose's result) with "Pfaffian labelings", a generalization of Pfaffian orientations, whereby edges ar...
    Serguei Norine, Robin Thomas
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