Derangements and Relative Derangements of Type $B$

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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.
7 pages

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Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/136774

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.3623
 http://arxiv.org/abs/0708.3623

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arXiv