The 2 x n seating derangements
نویسندگان
چکیده
منابع مشابه
Derangements on the n-cube
Chen, W.Y.C. and R.P. Stanley, Derangements on the n-cube, Discrete Mathematics 115 (1993) 65-15. Let Q. be the n-dimensional cube represented by a graph whose vertices are sequences of O’s and l’s of length n, where two vertices are adjacent if and only if they differ only at one position. A k-dimensional subcube or a k-face of Q. is a subgraph of Q. spanned by all the vertices u1 u2 u, with c...
متن کاملFinite Groups of Derangements on the n-Cube II
Given k ∈ N and a finite group G, it is shown that G is isomorphic to a subgroup of the group of symmetries of some n-cube in such a way that G acts freely on the set of k-faces, if and only if, gcd(k, |G|) = 2s for some non-negative integer s. The proof of this result is existential but does give some ideas on what n could be.
متن کاملFinite Groups of Derangements on the n-Cube
W. Y. C. Chen and R. P. Stanley have characterized the symmetries of the n-cube that act as derangements on the set of k-faces. In this paper we aim to use their result to characterize those finite subgroups of symmetries whose non-trivial members are derangements of the set of k-faces.
متن کامل2 1 Ja n 20 04 Derangements and asymptotics of Laplace transforms of polynomials
We describe the behavior as n → ∞ of the Laplace transforms of Pn, where P a fixed complex polynomial. As a consequence we obtain a new elementary proof of an result of Gillis-Ismail-Offer [2] in the combinatorial theory of derangements. 1 Statement of the main results The generalized derangement problem in combinatorics can be formulated as follows. Suppose X is a finite set and ∼ is an equiva...
متن کاملThe Impact of Seating Location and Seating Type on
While an extensive body of research exists regarding the delivery of course knowledge and material, much less attention has been paid to the performance effect of seating position within a classroom. Research findings are mixed as to whether students in the front row of a classroom outperform students in the back row. Another issue that has not been fully examined in higher education is the eff...
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ژورنال
عنوان ژورنال: Cogent Mathematics & Statistics
سال: 2018
ISSN: 2574-2558
DOI: 10.1080/25742558.2018.1492887