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    COMBINATORICS
    2006
    121views more  COMBINATORICS 2006»
    Asymptotics for Incidence Matrix Classes
    14 years 18 days ago
    Asymptotics for Incidence Matrix Classes
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    We define incidence matrices to be zero-one matrices with no zero rows or columns. We are interested in counting incidence matrices with a given number of ones, irrespective of th...
    Peter J. Cameron, Thomas Prellberg, Dudley Stark
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    COMBINATORICS
    2006
    169views more  COMBINATORICS 2006»
    The Diameter and Laplacian Eigenvalues of Directed Graphs
    14 years 18 days ago
    The Diameter and Laplacian Eigenvalues of Directed Graphs
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    For undirected graphs it has been known for some time that one can bound the diameter using the eigenvalues. In this note we give a similar result for the diameter of strongly con...
    Fan R. K. Chung
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    COMBINATORICS
    2006
    144views more  COMBINATORICS 2006»
    On an Identity for the Cycle Indices of Rooted Tree Automorphism Groups
    14 years 18 days ago
    On an Identity for the Cycle Indices of Rooted Tree Automorphism Groups
    Download  finanz.math.tu-graz.ac.at
    This note deals with a formula due to G. Labelle for the summed cycle indices of all rooted trees, which resembles the well-known formula for the cycle index of the symmetric grou...
    Stephan G. Wagner
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    COMBINATORICS
    2006
    137views more  COMBINATORICS 2006»
    Three-Letter-Pattern-Avoiding Permutations and Functional Equations
    14 years 18 days ago
    Three-Letter-Pattern-Avoiding Permutations and Functional Equations
    Download  www.combinatorics.org
    We present an algorithm for finding a system of recurrence relations for the number of permutations of length n that satisfy a certain set of conditions. A rewriting of these rela...
    Ghassan Firro, Toufik Mansour
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    COMBINATORICS
    2006
    117views more  COMBINATORICS 2006»
    Proof of the Razumov-Stroganov Conjecture for some Infinite Families of Link Patterns
    14 years 18 days ago
    Proof of the Razumov-Stroganov Conjecture for some Infinite Families of Link Patterns
    Download  www.maths.tcd.ie
    We prove the Razumov
    Paul Zinn-Justin
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    COMBINATORICS
    2006
    107views more  COMBINATORICS 2006»
    On the Symmetry of the Distribution of k-Crossings and k-Nestings in Graphs
    14 years 18 days ago
    On the Symmetry of the Distribution of k-Crossings and k-Nestings in Graphs
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    This note contains two results on the distribution of k-crossings and k-nestings in graphs. On the positive side, we exhibit a class of graphs for which there are as many k-noncro...
    Anna de Mier
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    COMBINATORICS
    2006
    135views more  COMBINATORICS 2006»
    Lyndon Words and Transition Matrices between Elementary, Homogeneous and Monomial Symmetric Functions
    14 years 18 days ago
    Lyndon Words and Transition Matrices between Elementary, Homogeneous and Monomial Symmetric Functions
    Download  www.univie.ac.at
    Let h, e, and m denote the homogeneous symmetric function, the elementary symmetric function and the monomial symmetric function associated with the partition respectively. We gi...
    Andrius Kulikauskas, Jeffrey B. Remmel
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    COMBINATORICS
    2006
    125views more  COMBINATORICS 2006»
    A Point in Many Triangles
    14 years 18 days ago
    A Point in Many Triangles
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    We give a simpler proof of the result of Boros and F
    Boris Bukh
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    COMBINATORICS
    2006
    142views more  COMBINATORICS 2006»
    The Zeta Function of a Hypergraph
    14 years 18 days ago
    The Zeta Function of a Hypergraph
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    We generalize the Ihara-Selberg zeta function to hypergraphs in a natural way. Hashimoto's factorization results for biregular bipartite graphs apply, leading to exact factor...
    Christopher K. Storm
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    COMBINATORICS
    2006
    87views more  COMBINATORICS 2006»
    Optimal Four-Dimensional Codes over GF(8)
    14 years 18 days ago
    Optimal Four-Dimensional Codes over GF(8)
    Download  www.combinatorics.org
    We prove the nonexistence of several four-dimensional codes over GF(8) that meet the Griesmer bound. The proofs use geometric methods based on the analysis of the weight structure...
    Chris Jones, Angela Matney, Harold N. Ward
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