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    JCT
    2007
    78views more  JCT 2007»
    Projective-planar signed graphs and tangled signed graphs
    13 years 11 months ago
    Projective-planar signed graphs and tangled signed graphs
    Download  www.math.wright.edu
    A projective-planar signed graph has no two vertex-disjoint negative circles. We prove that every signed graph with no two vertex-disjoint negative circles and no balancing vertex...
    Daniel C. Slilaty
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    JCT
    2007
    119views more  JCT 2007»
    Cliques and the spectral radius
    13 years 11 months ago
    Cliques and the spectral radius
    Download  www2.ims.nus.edu.sg
    We prove a number of relations between the number of cliques of a graph G and the largest eigenvalue (G) of its adjacency matrix. In particular, writing ks (G) for the number of s...
    Béla Bollobás, Vladimir Nikiforov
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    JCT
    2007
    107views more  JCT 2007»
    Independent transversals in locally sparse graphs
    13 years 11 months ago
    Independent transversals in locally sparse graphs
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    Po-Shen Loh, Benny Sudakov
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    JCT
    2007
    133views more  JCT 2007»
    Biased graphs. VII. Contrabalance and antivoltages
    13 years 11 months ago
    Biased graphs. VII. Contrabalance and antivoltages
    Download  www.math.binghamton.edu
    Abstract. We develop linear representation theory for bicircular matroids, a chief example being a matroid associated with forests of a graph, and bicircular lift matroids, a chief...
    Thomas Zaslavsky
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    JCT
    2007
    62views more  JCT 2007»
    Relaxed two-coloring of cubic graphs
    13 years 11 months ago
    Relaxed two-coloring of cubic graphs
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    Robert Berke, Tibor Szabó
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    JCT
    2007
    118views more  JCT 2007»
    Excluding a planar graph from GF(q)-representable matroids
    13 years 11 months ago
    Excluding a planar graph from GF(q)-representable matroids
    Download  www.math.uwaterloo.ca
    Abstract. We prove that a binary matroid with huge branchwidth contains the cycle matroid of a large grid as a minor. This implies that an infinite antichain of binary matroids ca...
    Jim Geelen, Bert Gerards, Geoff Whittle
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    JCT
    2007
    69views more  JCT 2007»
    Amalgamations of factorizations of complete graphs
    13 years 11 months ago
    Amalgamations of factorizations of complete graphs
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    Matthew Johnson
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    JCT
    2007
    73views more  JCT 2007»
    Claw-free graphs. I. Orientable prismatic graphs
    13 years 11 months ago
    Claw-free graphs. I. Orientable prismatic graphs
    Download  www.columbia.edu
    Maria Chudnovsky, Paul D. Seymour
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    JCT
    2007
    63views more  JCT 2007»
    Multiply-intersecting families revisited
    13 years 11 months ago
    Multiply-intersecting families revisited
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    Norihide Tokushige
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    JCT
    2007
    76views more  JCT 2007»
    Perfect matchings extend to Hamilton cycles in hypercubes
    13 years 11 months ago
    Perfect matchings extend to Hamilton cycles in hypercubes
    Download  kam.mff.cuni.cz
    Kreweras’ conjecture [1] asserts that any perfect matching of the hypercube Qd, d ≥ 2, can be extended to a Hamilton cycle. We prove this conjecture.
    Jirí Fink
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