Tournaments and Vandermond's determinant
- 1 September 1979
- journal article
- Published by Wiley in Journal of Graph Theory
- Vol. 3 (3) , 305-307
- https://doi.org/10.1002/jgt.3190030315
Abstract
We prove that det |xii–1|n × n = Π1≤i<i≤n (Xj – Xi) by associating a tournament to each term in the expansion of the product. All terms cancel except those corresponding to transitive tournaments, and their sum of the determinant.Keywords
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