Document Type

Thesis

Publication Date

2016

Disciplines

Discrete Mathematics and Combinatorics | Mathematics | Physical Sciences and Mathematics

Advisor

Jennifer Galovich, Mathematics

Abstract

We consider generalizations of both juggling sequences and non-attacking rook placements. We demonstrate the important connection between these objects, and also propose a generalization of the Eulerian numbers. These generalizations give rise to several interesting counting problems, which we explore.

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