摘要
令S(n,k)表示线和为k(1≤k≤n-1)的n阶(0,1)矩阵的集合,R(n,k)表示属于S(n,k)的矩阵秩的集合,r(n,k)表示属于S(n,k)且迹为零的对称矩阵秩的集合.研究了线和为2的两种(0,1)矩阵的秩,给出了R(n,2)和r(n,2).
Abstract: Let S(n,k) denote the set of all n X n (0,1) matrices with constant line sums equal to k (1 ≤k≤ n-1). Let R(n,k) denote the set of all possible ranks belong to the matrices of S(n,k). Let r(n,k) denote the set of all possible ranks of the symmetric matrices belong to S(n,k) with zero trace. The paper researched on the ranks of (0,1) matrices with constant line sums equal to 2, R(n,2) and r(n,2) were provided.
出处
《杭州师范大学学报(自然科学版)》
CAS
2013年第3期223-226,共4页
Journal of Hangzhou Normal University(Natural Science Edition)
基金
浙江广播电视大学课题(XKT-11G26)
关键词
(0
1)矩阵
固定线和
秩
图
(0,1) matrix
constant line sums
rank
graph