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ARSCOM
2005
59views more  ARSCOM 2005»
13 years 4 months ago
Simultaneous Avoidance Of Generalized Patterns
In [BabStein] Babson and Steingr
Sergey Kitaev, Toufik Mansour
EJC
2007
13 years 4 months ago
Symmetric functions, generalized blocks, and permutations with restricted cycle structure
We present various techniques to count proportions of permutations with restricted cycle structure in finite permutation groups. For example, we show how a generalized block theo...
Attila Maróti
DM
2007
119views more  DM 2007»
13 years 4 months ago
Short proofs for cut-and-paste sorting of permutations
We consider the problem of determining the maximum number of moves required to sort a permutation of [n] using cut-and-paste operations, in which a segment is cut out and then pas...
Daniel W. Cranston, Ivan Hal Sudborough, Douglas B...
JCT
2008
103views more  JCT 2008»
13 years 4 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
JCT
2008
77views more  JCT 2008»
13 years 4 months ago
Counting descent pairs with prescribed tops and bottoms
Given sets X and Y of positive integers and a permutation = 12
John T. Hall, Jeffrey B. Remmel
CORR
2007
Springer
97views Education» more  CORR 2007»
13 years 4 months ago
Longest Common Separable Pattern between Permutations
In this article, we study the problem of finding the longest common separable pattern between several permutations. We give a polynomial-time algorithm when the number of input pe...
Mathilde Bouvel, Dominique Rossin, Stéphane...
COMBINATORICS
2007
58views more  COMBINATORICS 2007»
13 years 4 months ago
The Initial Involution Patterns of Permutations
For a permutation π = π1π2 · · · πn ∈ Sn and a positive integer i ≤ n, we can view π1π2 · · · πi as an element of Si by order-preserving relabeling. The j-set of ...
Dongsu Kim, Jang Soo Kim
COMBINATORICS
2007
164views more  COMBINATORICS 2007»
13 years 4 months ago
Longest Alternating Subsequences in Pattern-Restricted Permutations
We determine the limiting distributions of the longest alternating subsequence for pattern-restricted permutations in which the pattern is any one of the six patterns of length th...
Ghassan Firro, Toufik Mansour, Mark C. Wilson
IJES
2008
102views more  IJES 2008»
13 years 4 months ago
Alternative application-specific processor architectures for fast arbitrary bit permutations
Block ciphers are used to encrypt data and provide data confidentiality. For interoperability reasons, it is desirable to support a variety of block ciphers efficiently. Of the bas...
Zhijie Jerry Shi, Xiao Yang, Ruby B. Lee
EJC
2006
13 years 4 months ago
Hamiltonicity of digraphs for universal cycles of permutations
The digraphs P(n, k) have vertices corresponding to length k permutations of an n set and arcs corresponding to (k + 1) permutations. Answering a question of Starling, Klerlein, K...
Garth Isaak