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133
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COMBINATORICS
2000
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15 years 3 months ago
Colouring Planar Mixed Hypergraphs
A mixed hypergraph is a triple H = (V, C, D) where V is the vertex set and C and D are families of subsets of V , the C-edges and D-edges, respectively. A k-colouring of H is a ma...
André Kündgen, Eric Mendelsohn, Vitaly...
141
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COMBINATORICS
2000
114views more  COMBINATORICS 2000»
15 years 3 months ago
Trees and Matchings
In this article, Temperley's bijection between spanning trees of the square grid on the one hand, and perfect matchings (also known as dimer coverings) of the square grid on ...
Richard Kenyon, James Gary Propp, David Bruce Wils...
114
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COMBINATORICS
2000
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15 years 3 months ago
A Note on the Asymptotic Behavior of the Heights in b-Tries for b Large
We study the limiting distribution of the height in a generalized trie in which external nodes are capable to store up to b items (the so called b-tries). We assume that such a tr...
Charles Knessl, Wojciech Szpankowski
126
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COMBINATORICS
2000
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Combinatorial statistics on type-B analogues of noncrossing partitions and restricted permutations
We define type-B analogues of combinatorial statistics previously studied on noncrossing partitions and show that analogous equidistribution and symmetry properties hold in the ca...
Rodica Simion
118
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COMBINATORICS
2002
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15 years 3 months ago
Kasteleyn Cokernels
We consider Kasteleyn and Kasteleyn-Percus matrices, which arise in enumerating matchings of planar graphs, up to matrix operations on their rows and columns. If such a matrix is ...
Greg Kuperberg