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Visualizing Vandermonde's determinant through nonintersecting lattice paths |
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| Authors: | Jennifer J Quinn |
| Institution: | Interdisciplinary Arts and Sciences, University of Washington, Tacoma, 1900 Commerce Street, Box 358436, Tacoma, WA 98402-3100, USA |
| Abstract: | We use the Lindström–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. |
| Keywords: | Combinatorial proofs Signed involution Lindströ m&ndash Gessel&ndash Viennot |
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