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    EJC
    2007
    89views Information Technology» more  EJC 2007»
    Labeling planar graphs with a condition at distance two
    13 years 8 months ago
    Labeling planar graphs with a condition at distance two
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    Peter Bella, Daniel Král, Bojan Mohar, Kata...
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    EJC
    2007
    89views Information Technology» more  EJC 2007»
    The structure of 3-connected matroids of path width three
    13 years 8 months ago
    The structure of 3-connected matroids of path width three
    Download  www.math.lsu.edu
    A 3-connected matroid M is sequential or has path width 3 if its ground set E(M) has a sequential ordering, that is, an ordering (e1, e2, . . . , en) such that ({e1, e2, . . . , ek...
    Rhiannon Hall, James G. Oxley, Charles Semple
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    EJC
    2007
    88views Information Technology» more  EJC 2007»
    Minimal paths and cycles in set systems
    13 years 8 months ago
    Minimal paths and cycles in set systems
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    A minimal k-cycle is a family of sets A0, . . . , Ak−1 for which Ai ∩ Aj = ∅ if and only if i = j or i and j are consecutive modulo k. Let fr(n, k) be the maximum size of a ...
    Dhruv Mubayi, Jacques Verstraëte
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    EJC
    2007
    95views Information Technology» more  EJC 2007»
    On separating systems
    13 years 8 months ago
    On separating systems
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    We sharpen a result of Hansel on separating set systems. We also extend a theorem of Spencer on completely separating systems by proving an analogue of Hansel’s result.
    Béla Bollobás, Alex D. Scott
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    EJC
    2007
    87views Information Technology» more  EJC 2007»
    Symmetric functions, generalized blocks, and permutations with restricted cycle structure
    13 years 8 months ago
    Symmetric functions, generalized blocks, and permutations with restricted cycle structure
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    We present various techniques to count proportions of permutations with restricted cycle structure in finite permutation groups. For example, we show how a generalized block theo...
    Attila Maróti
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    EJC
    2007
    84views Information Technology» more  EJC 2007»
    The generating rank of the symplectic grassmannians: Hyperbolic and isotropic geometry
    13 years 8 months ago
    The generating rank of the symplectic grassmannians: Hyperbolic and isotropic geometry
    Download  www-math.bgsu.edu
    Rieuwert J. Blok
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    EJC
    2007
    103views Information Technology» more  EJC 2007»
    On the number of matchings of a tree
    13 years 8 months ago
    On the number of matchings of a tree
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    In a paper of Klazar, several counting examples for rooted plane trees were given, including matchings and maximal matchings. Apart from asymptotical analysis, it was shown how to...
    Stephan G. Wagner
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    EJC
    2007
    92views Information Technology» more  EJC 2007»
    The origins of combinatorics on words
    13 years 8 months ago
    The origins of combinatorics on words
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    We investigate the historical roots of the field of combinatorics on words. They comprise applications and interpretations in algebra, geometry and combinatorial enumeration. The...
    Jean Berstel, Dominique Perrin
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    EJC
    2007
    69views Information Technology» more  EJC 2007»
    Tree representations of graphs
    13 years 8 months ago
    Tree representations of graphs
    Download  www.math.uri.edu
    Nancy Eaton, Zoltán Füredi, Alexandr V...
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    EJC
    2007
    88views Information Technology» more  EJC 2007»
    Partial linear spaces built on hexagons
    13 years 8 months ago
    Partial linear spaces built on hexagons
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    3 We define four families of geometries with as point graph the graph — or its complement — of all elliptic 4 hyperplanes of a given parabolic quadric in any finite 6-dimensi...
    Alice Devillers, Hendrik Van Maldeghem
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