车多项式对Ferrers矩阵的刻画

数学季刊 ›› 2003, Vol. 18 ›› Issue (2): 163-167.

车多项式对Ferrers矩阵的刻画

Department afMuthemutis,Qinghui Nutiomalities College,Xining 810007,China

收稿日期:2001-11-14 出版日期:2003-06-30 发布日期:2024-04-16
作者简介:MA Hai-cheng(1965-),male,native uf Menyuan,Qinghai,an asociate profesor of Qinghui Natronalities College,engages in algebraic graph theory.

Ferrers Matrices Characterized by the Rook Polynomials

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.

摘要/Abstract

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

关键词: rook polynomial, Ferrers matrix, repeated set

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

Key words: rook polynomial, Ferrers matrix, repeated set

中图分类号:

O157
O151.21

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.

MA Hai-cheng, HU Sheng-biao . Ferrers Matrices Characterized by the Rook Polynomials [J]. Chinese Quarterly Journal of Mathematics, 2003, 18(2): 163-167.

[1]	赵克文, 曾克扬. 泛连通图的Faudree-Schelp定理和哈密尔顿连通图的Ore定理的注记[J]. 数学季刊, 2003, 18(2): 175-177.
[2]	宋晓新. 关于3正则图的三匹配交猜想 (Ⅱ)[J]. 数学季刊, 2002, 16(4): 1-9.
[3]	李克典, 任学军, 菅典兵. 关于点可数序列领域网[J]. 数学季刊, 1999, 14(3): 88-91.
[4]	王维凡. The Complete Chromatic Number of Maximal Outerplane Graphs[J]. 数学季刊, 1996, 11(3): 19-23.
[5]	陈永高. On Infinite Disjoint Congruence Covering Systems[J]. 数学季刊, 1996, 11(3): 36-39.
[6]	刘亚星. Graphlike Manifolds with Contraction △×△(Correction)[J]. 数学季刊, 1996, 11(2): 64-64.
[7]	袁夫永, 刘亚星. On Graphlike Manifolds with Contraction[J]. 数学季刊, 1996, 11(2): 93-94.