Visualizing Vandermonde's Determinant through Nonintersecting Lattice Paths

Authors

Jennifer J. Quinn, University of Washington TacomaFollow

Publication Date

8-1-2010

Document Type

Article

Abstract

We use the Lindstrom-Gessel-Viennot Theorem to count nonintersecting lattice paths in a carefully chosen acyclic weighted digraph to give a visual combinatorial proof of Vandermonde's classic determinant.

Publication Title

Journal Of Statistical Planning And Inference

Volume

140

Issue

8

First Page

2346

Last Page

2350

DOI

10.1016/j.jspi.2010.01.029

Publisher Policy

pre-print, post-print

Recommended Citation

Quinn, Jennifer J., "Visualizing Vandermonde's Determinant through Nonintersecting Lattice Paths" (2010). SIAS Faculty Publications. 212.
https://digitalcommons.tacoma.uw.edu/ias_pub/212