Chinese Quarterly Journal of Mathematics ›› 2003, Vol. 18 ›› Issue (2): 163-167.

Previous Articles     Next Articles

Ferrers Matrices Characterized by the Rook Polynomials 

  

  1.  Department afMuthemutis,Qinghui Nutiomalities College,Xining 810007,China
  • Received:2001-11-14 Online:2003-06-30 Published:2024-04-16
  • About author:MA Hai-cheng(1965-),male,native uf Menyuan,Qinghai,an asociate profesor of Qinghui Natronalities College,engages in algebraic graph theory.

Abstract: In this paper,we  show that there cxist preisely W(A)Ferrers matrices F(c1,c2,…,cn) such that the rcok polynomials is equal to the nook palynomial of Ferrers matrix F(b1,b₂,…,bm), where   A={b₁,b₂-1,…,bm-m+1l   is    a   rupeated    set,W(A)is    weight   of   A. 

Key words: rook polynomial, Ferrers matrix, repeated set

CLC Number: