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包含正圈的复符号非异性极小禁用圈链
Minimum forbidden cycle chain for complex sign nonsingularity with positive cycles

DOI: 10.7631/issn.1000-2243.17394

Keywords: 复符号模式 复符号非异 轴元阵 极小禁用 圈链矩阵 有向图
complex sign pattern complex sign nonsingular axis matrix minimum forbidden cycle chain matrix digraph

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Abstract:

研究轴元复符号模式圈链矩阵(即所有元素都是来自{0,±1,±i},且其伴随有向图中所有圈的邻接结构为一条路的复方阵)的复符号非异性禁用结构,给出两端都是正圈的极小禁用轴元圈链阵的特征刻画.
In this paper,the forbidden structure for complex sign nonsingularity of an axis complex sign pattern cycle chain matrix (i.e.,all entries of the complex matrix are from {0,±1,±i},and the adjacency structure of all the cycles in its associated digraph is a path) is studied. A characterization is given for the minimum forbidden axis cycle chain matrices whose two ends are positive cycles

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