广义θ-图和广义梅花图φ的奇异性

Abstract

Abstract: 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-graph θ(a₁,a₂,…,a_k) and the generalized plum blossom graph φ(a₁,a₂,…,a_k) to be a singular graph, respectively. The probability values of singular graph occurring in these two types of graphs were calculated.

Key words: adjacency matrix, singular graph, nullity, probability

CLC Number:

O157.5

MA Haicheng, YOU Xiaojie. Singularity of Generalized θ-Graphs and Generalized Plum Blossom φ-Graphs[J].Journal of Jilin University Science Edition, 2024, 62(1): 7-0012.

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Singularity of Generalized θ-Graphs and Generalized Plum Blossom φ-Graphs

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