Browsing Combinatorics and Optimization by Author "Rattan, Amarpreet"
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Character Polynomials and Lagrange Inversion
Rattan, Amarpreet (University of Waterloo, 2005)In this thesis, we investigate two expressions for symmetric group characters: Kerov?s universal character polynomials and Stanley?s character polynomials. We give a new explicit form for Kerov?s polynomials, which ... -
Parking Functions and Related Combinatorial Structures.
Rattan, Amarpreet (University of Waterloo, 2001)The central topic of this thesis is parking functions. We give a survey of some of the current literature concerning parking functions and focus on their interaction with other combinatorial objects; namely noncrossing ...