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Derangements and Relative Derangements of Type $B$

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 نشر من قبل William Y. C. Chen
 تاريخ النشر 2007
  مجال البحث
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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 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.



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