ℤmin上秩-1矩阵的周长不等式及线性保持算子

摘要

利用 Boolean 秩-1矩阵的周长保持性质和 Boolean 代数 B 与ℤ min 上矩阵之间支配关系的等价性获得了ℤ min上秩-1矩阵和的周长所满足的不等式，保持其秩与周长的线性算子以及保持秩-1和周长2的性质。%Based on the preserving properties of the perimeter of Boolean rank-1 matrices and the equivalence of the dominating relation between matrices over Boolean algebra B and ℤ min , the inequality on the perimeter of the sum of two rank-1 matrices over ℤ min and the linear operator of preserving the rank and perimeter.At last it get the properties of preserving the rank and perimeter 2 of rank-1 matrices over ℤ min .