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» Counting 1324-Avoiding Permutations
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SODA
2010
ACM
202views Algorithms» more  SODA 2010»
14 years 2 months ago
Counting Inversions, Offline Orthogonal Range Counting, and Related Problems
We give an O(n lg n)-time algorithm for counting the number of inversions in a permutation on n elements. This improves a long-standing previous bound of O(n lg n/ lg lg n) that ...
Timothy M. Chan, Mihai Patrascu
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
COMBINATORICS
2007
74views more  COMBINATORICS 2007»
13 years 4 months ago
Statistics on the Multi-Colored Permutation Groups
We define an excedance number for the multi-colored permutation group i.e. the wreath product (Zr1 × · · · × Zrk ) Sn and calculate its multi-distribution with some natural ...
Eli Bagno, Ayelet Butman, David Garber
COMBINATORICS
2002
99views more  COMBINATORICS 2002»
13 years 4 months ago
A Generalization of Simion-Schmidt's Bijection for Restricted Permutations
We consider the two permutation statistics which count the distinct pairs obtained from the final two terms of occurrences of patterns 1
Astrid Reifegerste
ISSAC
2007
Springer
107views Mathematics» more  ISSAC 2007»
13 years 11 months ago
A disk-based parallel implementation for direct condensation of large permutation modules
Through the use of a new disk-based method for enumerating very large orbits, condensation for orbits with tens of billions of elements can be performed. The algorithm is novel in...
Eric Robinson, Jürgen Müller 0004, Gene ...