Derangements in a Ferrers Board

dc.creator	Linz, William B
dc.date.accessioned	2016-09-05T14:30:40Z
dc.date.available	2016-09-05T14:30:40Z
dc.date.created	2014-05
dc.date.issued	2013-09-26
dc.date.submitted	May 2014
dc.identifier.uri	https://hdl.handle.net/1969.1/157588
dc.description.abstract	The classic derangement question of counting the number of derangements for n objects from some initial permutation of the objects was first considered by de Montfort in 1708. A particular recasting of a permutation allows us to place any permutation onto an n x n board, from which certain properties of derangements may be understood. This research extends the classic derangement question to the more general Ferrers board, which is an n x n board with a missing section in the lower-right corner. Various properties of the derangement numbers for these more general boards are stated and proven in the course of this work.	en
dc.format.mimetype	application/pdf
dc.subject	Derangement	en
dc.subject	Permutation	en
dc.subject	Ferrers board	en
dc.subject	combinatorics	en
dc.title	Derangements in a Ferrers Board	en
dc.type	Thesis	en
thesis.degree.department	Mathematics	en
thesis.degree.discipline	Mathematics	en
thesis.degree.grantor	Undergraduate Research Scholars Program	en
dc.contributor.committeeMember	Yan, Catherine
dc.type.material	text	en
dc.date.updated	2016-09-05T14:30:40Z