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A famous formula of Graham and Pollak (1971) describes the determinant of the distance matrix of a tree T of order ...
In this work we aim to study and better understand the coefficients of the plethystic operation on the symmetric functions. ...
In this senior thesis we present the first combinatorial proof for the renowned Graham and Pollak’s formula for the determinant of the distance matrix of a tree, based on the Lindström-Gessel-Viennot method.
The main objective of this work is to study the relation between representations of the symmetric group and those of the ...