The Skew and Relative Derangements of Type B

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.

• Type: Journal
• Year: 2007
• Where: COMBINATORICS
• Authors: William Y. C. Chen, Jessica C. Y. Zhang
• Keywords: Classical Derangements, COMBINATORICS 2007, Relative Derangements, Signed Permutations