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» On the enumeration of d-minimal permutations
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COMBINATORICS
2004
86views more  COMBINATORICS 2004»
13 years 7 months ago
Multiple Pattern Avoidance with respect to Fixed Points and Excedances
We study the distribution of the statistics `number of fixed points' and `number of excedances' in permutations avoiding subsets of patterns of length 3. We solve all th...
Sergi Elizalde
ISAAC
2009
Springer
150views Algorithms» more  ISAAC 2009»
14 years 1 months ago
Random Generation and Enumeration of Bipartite Permutation Graphs
Connected bipartite permutation graphs without vertex labels are investigated. First, the number of connected bipartite permutation graphs of n vertices is given. Based on the num...
Toshiki Saitoh, Yota Otachi, Katsuhisa Yamanaka, R...
COMBINATORICS
2002
71views more  COMBINATORICS 2002»
13 years 7 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
JCT
2008
103views more  JCT 2008»
13 years 7 months ago
A bijective proof of Jackson's formula for the number of factorizations of a cycle
Factorizations of the cyclic permutation (1 2 . . . N) into two permutations with respectively n and m cycles, or, equivalently, unicellular bicolored maps with N edges and n whit...
Gilles Schaeffer, Ekaterina A. Vassilieva
EJC
2010
13 years 7 months ago
Descent polynomials for permutations with bounded drop size
Abstract. Motivated by juggling sequences and bubble sort, we examine permutations on the set {1, 2, . . . , n} with d descents and maximum drop size k. We give explicit formulas f...
Fan R. K. Chung, Anders Claesson, Mark Dukes, Rona...