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    COMBINATORICS
    2007
    66views more  COMBINATORICS 2007»
    The Number of [Old-Time] Basketball Games with Final Score n: n where the Home Team was Never Losing but also Never Ahead by Mor
    13 years 11 months ago
    The Number of [Old-Time] Basketball Games with Final Score n: n where the Home Team was Never Losing but also Never Ahead by Mor
    Download  www.math.rutgers.edu
    We show that the generating function (in n) for the number of walks on the square lattice with steps (1, 1), (1, −1), (2, 2) and (2, −2) from (0, 0) to (2n, 0) in the region 0...
    Arvind Ayyer, Doron Zeilberger
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    COMBINATORICS
    2007
    88views more  COMBINATORICS 2007»
    Transversal and Cotransversal Matroids via their Representations
    13 years 11 months ago
    Transversal and Cotransversal Matroids via their Representations
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    Federico Ardila
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    COMBINATORICS
    2007
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    Hereditary Properties of Tournaments
    13 years 11 months ago
    Hereditary Properties of Tournaments
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    József Balogh, Béla Bollobás,...
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    COMBINATORICS
    2007
    87views more  COMBINATORICS 2007»
    Bartholdi Zeta Functions for Hypergraphs
    13 years 11 months ago
    Bartholdi Zeta Functions for Hypergraphs
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    Recently, Storm [8] defined the Ihara-Selberg zeta function of a hypergraph, and gave two determinant expressions of it. We define the Bartholdi zeta function of a hypergraph, a...
    Iwao Sato
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    COMBINATORICS
    2007
    137views more  COMBINATORICS 2007»
    Distance Domination and Distance Irredundance in Graphs
    13 years 11 months ago
    Distance Domination and Distance Irredundance in Graphs
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    Adriana Hansberg, Dirk Meierling, Lutz Volkmann
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    COMBINATORICS
    2007
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    On Mixed Codes with Covering Radius 1 and Minimum Distance 2
    13 years 11 months ago
    On Mixed Codes with Covering Radius 1 and Minimum Distance 2
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    Wolfgang Haas, Jörn Quistorff
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    COMBINATORICS
    2007
    87views more  COMBINATORICS 2007»
    A Bijection on Dyck Paths and its Cycle Structure
    13 years 11 months ago
    A Bijection on Dyck Paths and its Cycle Structure
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    The known bijections on Dyck paths are either involutions or have notoriously intractable cycle structure. Here we present a size-preserving bijection on Dyck paths whose cycle st...
    David Callan
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    COMBINATORICS
    2007
    55views more  COMBINATORICS 2007»
    A Note on a Problem of Hilliker and Straus
    13 years 11 months ago
    A Note on a Problem of Hilliker and Straus
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    For a prime p and a vector ¯α = (α1, . . . , αk) ∈ Zk p let f (¯α, p) be the largest n such that in each set A ⊆ Zp of n elements one can find x which has a unique repr...
    Miroslawa Janczak
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    COMBINATORICS
    2007
    99views more  COMBINATORICS 2007»
    The Spectral Radius of Subgraphs of Regular Graphs
    13 years 11 months ago
    The Spectral Radius of Subgraphs of Regular Graphs
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    Let µ (G) and µmin (G) be the largest and smallest eigenvalues of the adjacency matrix of a graph G. Our main results are: (i) Let G be a regular graph of order n and finite di...
    Vladimir Nikiforov
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    COMBINATORICS
    2007
    86views more  COMBINATORICS 2007»
    Combinatorial Interpretations for Rank-Two Cluster Algebras of Affine Type
    13 years 11 months ago
    Combinatorial Interpretations for Rank-Two Cluster Algebras of Affine Type
    Download  math.ucsd.edu
    Gregg Musiker, James Propp
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