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COMBINATORICS
2006
116views more  COMBINATORICS 2006»
14 years 9 months ago
Classifying Descents According to Equivalence mod k
In [5] the authors refine the well-known permutation statistic "descent" by fixing parity of one of the descent's numbers. In this paper, we generalize the results o...
Sergey Kitaev, Jeffrey B. Remmel
93
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COMBINATORICS
2006
106views more  COMBINATORICS 2006»
14 years 9 months ago
Tilings by Translation: Enumeration by a Rational Language Approach
Beauquier and Nivat introduced and gave a characterization of the class of pseudo-square polyominoes that tile the plane by translation: a polyomino tiles the plane by translation...
Srecko Brlek, Andrea Frosini, Simone Rinaldi, Laur...
COMBINATORICS
2006
87views more  COMBINATORICS 2006»
14 years 9 months ago
Optimal Four-Dimensional Codes over GF(8)
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
76
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COMBINATORICS
2006
107views more  COMBINATORICS 2006»
14 years 9 months ago
On the Symmetry of the Distribution of k-Crossings and k-Nestings in Graphs
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
COMBINATORICS
2006
105views more  COMBINATORICS 2006»
14 years 9 months ago
A New Table of Constant Weight Codes of Length Greater than 28
Existing tables of constant weight codes are mainly confined to codes of length n 28. This paper presents tables of codes of lengths 29 n 63. The motivation for creating these ...
Derek H. Smith, L. A. Hughes, Stephanie Perkins