Geodesic
The skew and relative derangements of type B
The electronic journal of combinatorics, Tome 14 (2007)

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By introducing the notion of relative derangements of type $B$, also called signed relative derangements, which are defined in terms of signed permutations, we obtain a type $B$ analogue of the well-known relation between the relative derangements and the classical derangements. While this fact can be proved by using the principle of inclusion and exclusion, we present a combinatorial interpretation with the aid of the intermediate structure of signed skew derangements.
DOI : 10.37236/1025
Classification : 05A05
Mots-clés : signed relative derangements, signed permutations, signed skew derangements 
William Y.C. Chen; Jessica C.Y. Zhang. The skew and relative derangements of type B. The electronic journal of combinatorics, Tome 14 (2007). doi: 10.37236/1025
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     author = {William Y.C. Chen and Jessica C.Y. Zhang},
     title = {The skew and relative derangements of type {B}},
     journal = {The electronic journal of combinatorics},
     year = {2007},
     volume = {14},
     doi = {10.37236/1025},
     zbl = {1158.05341},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1025/}
}
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