广义θ-图和广义梅花图φ的奇异性OACSTPCD
Singularity of Generalized θ-Graphs and Generalized Plum Blossom φ-Graphs
利用奇异图的邻接矩阵行列式等于零的方法讨论广义θ-图和广义梅花图φ的奇异性,分别给出广义θ-图θ(a1,a2,…,ak)和广义梅花图φ(a1,a2,…,ak)是奇异图的充分必要条件,并计算这两类图中奇异图发生的概率值.
By using the method that the determinant of the adjacency matrix of the singular graph was equal to zero,we discussed the singularity of the generalized θ-graphs and the generalized plum blossom φ-graphs,and gave the necessary and sufficient conditions for the generalized θ-graphθ(a1,a2,…,ak)and the generalized plum blossom graph φ(a1,a2,…,ak)to be a singular graph,respectively.The probability values of singular graph occurring in these two types of graphs were calculated.
马海成;攸晓杰
青海民族大学数学与统计学院,西宁 810007
数学
邻接矩阵奇异图零度概率
adjacency matrixsingular graphnullityprobability
《吉林大学学报（理学版）》 2024 (001)
7-12 / 6
国家自然科学基金(批准号:11561056)和青海省自然科学基金(批准号:2022-ZJ-924).
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