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DMTCS
2008
80views Mathematics» more  DMTCS 2008»
13 years 6 months ago
Counting Descents, Rises, and Levels, with Prescribed First Element, in Words
Recently, Kitaev and Remmel [8] refined the well-known permutation statistic "descent" by fixing parity of one of the descent's numbers. Results in [8] were extende...
Sergey Kitaev, Toufik Mansour, Jeffrey B. Remmel
EVOW
2010
Springer
14 years 2 months ago
Fitness Distance Correlation and Search Space Analysis for Permutation Based Problems
Abstract. The fitness distance correlation (FDC) as a measure for problem difficulty was first introduced by Forrest and Jones. It was applied to many binary coded problems. This...
Botond Draskoczy
HICSS
2008
IEEE
143views Biometrics» more  HICSS 2008»
14 years 2 months ago
Bounding Prefix Transposition Distance for Strings and Permutations
A transposition is an operation that exchanges two adjacent substrings. When it is restricted so that one of the substrings is a prefix, it is called a prefix transposition. The p...
Bhadrachalam Chitturi, Ivan Hal Sudborough
EJC
2010
13 years 7 months ago
On the distance between the expressions of a permutation
Abstract. We prove that the combinatorial distance between any two reduced expressions of a given permutation of {1, ..., n} in terms of transpositions lies in O(n4), a sharp bound...
Patrick Dehornoy, Marc Autord