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Ferrers Matrices Characterized by the Rook Polynomials

Ferrers Matrices Characterized by the Rook Polynomials
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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.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第2期163-167,共5页 数学季刊(英文版)
关键词 rook polynomial Ferrers matrix repeated set Rook多项式 Ferrers矩阵 重集 完全排列
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参考文献3

  • 1BRUALD1 R A, RYSER H J. Combinatorial Matrix Theory[ M]. New York: Cambridge University Press, 1991.
  • 2GODS1L C D. Algebraic Combinatorics[M]. New York:Chapman and Hall, 1993.
  • 3PRANESACHAR C R. A class of ‘matching-equivalent' bipartite graphs[J]. Discrete Math, 1999,203(1/3) :207 - 213.

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