新疆师范大学学报（自然科学版）Issue(4)：49-52,4.
奇、偶双随机矩阵及其积和式的若干注记
Some Notes on Odd and Even Doubly-stochastic Matrices, and their Permanents
摘要
Abstract
This paper mainly studies odd and even doubly-stochastic matrices,and the ( odd and even) per⁃manents of them, respectively. On one hand, by analyzing the parity of doubly-stochastic matrices, we illustrate the equivalence of characterizing the odd and even doubly-stochastic matrices. On the other hand, with reference to the best lower bound for the permanents of doubly-stochastic matrices ( that is, the famous Van der Waerden-Ego⁃rychev-Falikman theorem) , we discuss the best bound problems for the ( odd and even) permanents of odd and e⁃ven doubly-stochastic matrices, respectively.关键词
奇双随机矩阵/偶双随机矩阵/奇积和式/偶积和式Key words
Odd doubly-stochastic matrix/Even doubly-stochastic matrix/Odd permanent/Even permanent分类
数理科学引用本文复制引用
黄宇飞..奇、偶双随机矩阵及其积和式的若干注记[J].新疆师范大学学报（自然科学版）,2014,(4):49-52,4.基金项目
国家自然科学基金数学天元基金资助项目（ No．11326221）资助。 （）
