万宏辉.(0,1)-矩阵类u(R,S)的基数函数f(R,S)及其非零集[J].数学研究及应用,1985,5(4):113~116
(0,1)-矩阵类u(R,S)的基数函数f(R,S)及其非零集
Cardinal Function f(R S) of the Class u(R S) of(0,l)-Matrices and its Nonzero-point Set
投稿时间:1982-10-10  
DOI:10.3770/j.issn:1000-341X.1985.04.028
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作者单位
万宏辉 华中工学院数学系 
摘要点击次数: 1984
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中文摘要:
      
英文摘要:
      Let R and S be two vectors with m and n nonnegative integers as conponents respectively. Let u(R, S) be the class consisting of all m×n (0,1) - matrices with row sum vector R and column sum vector S. Suppose that A is the maximal mrixat with row sum vector R. Let S he the column sum vector of A. (of. H. J. Ryser, Combinatorial Mathematics, Carcus Math. Monograph 14 (1963)). Let L(S)={S=(s1,…,sm),S-1≥s2≥…≥sn}, and let F(R, S) be the cardinal function of u(R,S), i. e.. f(R, S) = |u(R, S) |. Then L(S) is the nonzero-point set of f(R,S). In this paper our principal result is the following.
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