TOURNAMENTS AND VANDERMONDES DETERMINANT

被引：19

作者：

GESSEL, I

机构：

来源：

JOURNAL OF GRAPH THEORY | 1979年 / 3卷 / 03期

关键词：

D O I：

10.1002/jgt.3190030315

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. Copyright © 1979 Wiley Periodicals, Inc., A Wiley Company

引用

页码：305 / 307

页数：3