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    COMBINATORICS
    2002
    76views more  COMBINATORICS 2002»
    On the Number of Distributive Lattices
    13 years 4 months ago
    On the Number of Distributive Lattices
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    We investigate the numbers dk of all (isomorphism classes of) distributive lattices with k elements, or, equivalently, of (unlabeled) posets with k antichains. Closely related and...
    Marcel Erné, Jobst Heitzig, Jürgen Rei...
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    COMBINATORICS
    2002
    71views more  COMBINATORICS 2002»
    Permutations Which Avoid 1243 and 2143, Continued Fractions, and Chebyshev Polynomials
    13 years 4 months ago
    Permutations Which Avoid 1243 and 2143, Continued Fractions, and Chebyshev Polynomials
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    Several authors have examined connections between permutations which avoid 132, continued fractions, and Chebyshev polynomials of the second kind. In this paper we prove analogues...
    Eric S. Egge, Toufik Mansour
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    COMBINATORICS
    2002
    136views more  COMBINATORICS 2002»
    Minimum Connected Dominating Sets of Random Cubic Graphs
    13 years 4 months ago
    Minimum Connected Dominating Sets of Random Cubic Graphs
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    We present a simple heuristic for finding a small connected dominating set of cubic graphs. The average-case performance of this heuristic, which is a randomised greedy algorithm,...
    William Duckworth
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    COMBINATORICS
    2002
    68views more  COMBINATORICS 2002»
    On the Orbits of Singer Groups and Their Subgroups
    13 years 4 months ago
    On the Orbits of Singer Groups and Their Subgroups
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    Keldon Drudge
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    COMBINATORICS
    2002
    107views more  COMBINATORICS 2002»
    Combinatorial Laplacian of the Matching Complex
    13 years 4 months ago
    Combinatorial Laplacian of the Matching Complex
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    A striking result of Bouc gives the decomposition of the representation of the symmetric group on the homology of the matching complex into irreducibles that are self-conjugate. We...
    Xun Dong, Michelle L. Wachs
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    COMBINATORICS
    2002
    111views more  COMBINATORICS 2002»
    A Density Result for Random Sparse Oriented Graphs and its Relation to a Conjecture of Woodall
    13 years 4 months ago
    A Density Result for Random Sparse Oriented Graphs and its Relation to a Conjecture of Woodall
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    We shall prove that for all 3 and > 0 there exists a sparse oriented graph of arbitrarily large order with oriented girth and such that any 1/2 + proportion of its arcs induc...
    Jair Donadelli, Yoshiharu Kohayakawa
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    COMBINATORICS
    2002
    62views more  COMBINATORICS 2002»
    On Recursively Directed Hypercubes
    13 years 4 months ago
    On Recursively Directed Hypercubes
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    Carmel Domshlak
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    COMBINATORICS
    2002
    116views more  COMBINATORICS 2002»
    Toida's Conjecture is True
    13 years 4 months ago
    Toida's Conjecture is True
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    Let S be a subset of the units in Zn. Let be a circulant graph of order n (a Cayley graph of Zn) such that if ij E(), then i - j (mod n) S. Toida conjectured that if is another...
    Edward Dobson, Joy Morris
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    COMBINATORICS
    2002
    113views more  COMBINATORICS 2002»
    Longest Increasing Subsequences in Pattern-Restricted Permutations
    13 years 4 months ago
    Longest Increasing Subsequences in Pattern-Restricted Permutations
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    Inspired by the results of Baik, Deift and Johansson on the limiting distribution of the lengths of the longest increasing subsequences in random permutations, we find those limit...
    Emeric Deutsch, A. J. Hildebrand, Herbert S. Wilf
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    COMBINATORICS
    2002
    58views more  COMBINATORICS 2002»
    Triangle Free Sets and Arithmetic Progressions - Two Pisier Type Problems
    13 years 4 months ago
    Triangle Free Sets and Arithmetic Progressions - Two Pisier Type Problems
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    Dennis Davenport, Neil Hindman, Dona Strauss
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