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车多项式对Ferrers矩阵的刻画
引用本文:马海成,扈生彪.车多项式对Ferrers矩阵的刻画[J].数学季刊,2003,18(2):163-167.
作者姓名:马海成  扈生彪
作者单位:Department of Mathematics,Qinghai Nationalities College,Xining 810007,China
摘    要:In this paper,we show that there exist precisely W(A) Ferrers matrices F(C1,C2,…,cm)such that the rook polynomials is equal to the rook polynomial of Ferrers matrix F(b1,b2,…,bm), where A={b1,b2-1,…,bm-m 1} is a repeated set,W(A) is weight of A.

关 键 词:Rook多项式  Ferrers矩阵  重集  完全排列

Ferrers Matrices Characterized by the Rook Polynomials
MAHai-cheng HUSheng-biao.Ferrers Matrices Characterized by the Rook Polynomials[J].Chinese Quarterly Journal of Mathematics,2003,18(2):163-167.
Authors:MAHai-cheng HUSheng-biao
Institution:DepartmentofMathematics,QinghaiNationalitiesCollege,Xining810007,China
Abstract:In this paper, we show that there exist precisely W (A) Ferrers matrices F( c1 , c2 ,…, cm )such that the rook polynomials is equal to the rook polynomial of Ferrers matrix F( b1, b2 ,…, bm),where A = {b1, b2 - 1,…, bm - m + 1} is a repeated set, W(A)is weight of A .
Keywords:rook polynomial  Ferrers matrix  repeated set
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