%0 Journal Article %1 gessel79 %A Gessel, Ira %D 1979 %I Wiley Subscription Services, Inc., A Wiley Company %J Journal of Graph Theory %K determinant graph.theory involution matrix tournament vandermonde %N 3 %P 305--307 %R 10.1002/jgt.3190030315 %T Tournaments and Vandermond's determinant %V 3 %X 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.

@article{gessel79, 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.}, added-at = {2015-06-14T04:31:25.000+0200}, author = {Gessel, Ira}, biburl = {https://www.bibsonomy.org/bibtex/208aef984cc042406eb35661b81d72f67/ytyoun}, doi = {10.1002/jgt.3190030315}, interhash = {d2826e2be8da643db84d77fbd2cfd089}, intrahash = {08aef984cc042406eb35661b81d72f67}, issn = {1097-0118}, journal = {Journal of Graph Theory}, keywords = {determinant graph.theory involution matrix tournament vandermonde}, number = 3, pages = {305--307}, publisher = {Wiley Subscription Services, Inc., A Wiley Company}, timestamp = {2015-06-14T09:02:20.000+0200}, title = {Tournaments and Vandermond's determinant}, volume = 3, year = 1979 }