s Chen's paper - Lattice paths and the flagged Cauchy determiant

The Skew and Relative Derangements of Type B

William Y.C. Chen and Jessica C.Y. Zhang

  Abstract:   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.

  AMS Classification:   05E15, 05A05.

  Keywords:   signed permutations, relative derangement of type B, signed derangement, signed skew derangement.

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