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COMBINATORICS
2002
87views more  COMBINATORICS 2002»
14 years 9 months ago
Map Genus, Forbidden Maps, and Monadic Second-Order Logic
A map is a graph equipped with a circular order of edges around each vertex. These circular orders represent local planar embeddings. The genus of a map is the minimal genus of an...
Bruno Courcelle, V. Dussaux
COMBINATORICS
2002
82views more  COMBINATORICS 2002»
14 years 9 months ago
Non-Repetitive Tilings
In 1906 Axel Thue showed how to construct an infinite non-repetitive (or squarefree) word on an alphabet of size 3. Since then this result has been rediscovered many times and ext...
James D. Currie, Jamie Simpson
COMBINATORICS
2002
71views more  COMBINATORICS 2002»
14 years 9 months ago
Permutations Which Avoid 1243 and 2143, Continued Fractions, and Chebyshev Polynomials
Several authors have examined connections between permutations which avoid 132, continued fractions, and Chebyshev polynomials of the second kind. In this paper we prove analogues...
Eric S. Egge, Toufik Mansour
COMBINATORICS
2002
92views more  COMBINATORICS 2002»
14 years 9 months ago
On the Excluded Minors for Matroids of Branch-Width Three
Knowing the excluded minors for a minor-closed matroid property provides a useful alternative characterization of that property. It has been shown in [R. Hall, J. Oxley, C. Semple...
Petr Hlinený
78
Voted
COMBINATORICS
2002
73views more  COMBINATORICS 2002»
14 years 9 months ago
Prefix Exchanging and Pattern Avoidance by Involutions
Let In() denote the number of involutions in the symmetric group Sn which avoid the permutation . We say that two permutations , Sj may be exchanged if for every n, k, and order...
Aaron D. Jaggard