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COMBINATORICS
2002
93views more  COMBINATORICS 2002»
15 years 3 months ago
On a Theorem of Erdos, Rubin, and Taylor on Choosability of Complete Bipartite Graphs
Erdos, Rubin, and Taylor found a nice correspondence between the minimum order of a complete bipartite graph that is not r-choosable and the minimum number of edges in an r-unifor...
Alexandr V. Kostochka
114
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COMBINATORICS
2002
90views more  COMBINATORICS 2002»
15 years 3 months ago
Ternary Constant Weight Codes
Let A3(n, d, w) denote the maximum cardinality of a ternary code with length n, minimum distance d, and constant Hamming weight w. Methods for proving upper and lower bounds on A3...
Patric R. J. Östergård, Mattias Svanstr...
128
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COMBINATORICS
2002
60views more  COMBINATORICS 2002»
15 years 3 months ago
Parking Functions, Stack-Sortable Permutations, and Spaces of Paths in the Johnson Graph
We prove that the space of possible final configurations for a parking problem is parameterized by the vertices of a regular Bruhat graph associated to a 231-avoiding permutation,...
Catalin Zara
130
Voted
COMBINATORICS
1998
77views more  COMBINATORICS 1998»
15 years 3 months ago
Permutations which are the Union of an Increasing and a Decreasing Subsequence
It is shown that there are 2n n − n−1 m=0 2n−m−1 2m m permutations which are the union of an increasing sequence and a decreasing sequence. 1991 Mathematics Subject Classi...
M. D. Atkinson
COMBINATORICS
1998
113views more  COMBINATORICS 1998»
15 years 3 months ago
A Multivariate Lagrange Inversion Formula for Asymptotic Calculations
The determinant that is present in traditional formulations of multivariate Lagrange inversion causes difficulties when one attempts to obtain asymptotic information. We obtain an...
Edward A. Bender, L. Bruce Richmond