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

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.